[cig-commits] r14124 - seismo/3D/SPECFEM3D_GLOBE/trunk/USER_MANUAL
dkomati1 at geodynamics.org
dkomati1 at geodynamics.org
Mon Feb 23 14:20:40 PST 2009
Author: dkomati1
Date: 2009-02-23 14:20:38 -0800 (Mon, 23 Feb 2009)
New Revision: 14124
Modified:
seismo/3D/SPECFEM3D_GLOBE/trunk/USER_MANUAL/bibliography.bib
seismo/3D/SPECFEM3D_GLOBE/trunk/USER_MANUAL/manual_SPECFEM3D_GLOBE.tex
Log:
added Jesus Labarta to the acknowledgments. Also added a reference to our 2008 Gordon Bell paper.
Modified: seismo/3D/SPECFEM3D_GLOBE/trunk/USER_MANUAL/bibliography.bib
===================================================================
--- seismo/3D/SPECFEM3D_GLOBE/trunk/USER_MANUAL/bibliography.bib 2009-02-23 21:37:58 UTC (rev 14123)
+++ seismo/3D/SPECFEM3D_GLOBE/trunk/USER_MANUAL/bibliography.bib 2009-02-23 22:20:38 UTC (rev 14124)
@@ -1,9273 +1,9286 @@
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- at STRING{bssa = {Bull. Seismol. Soc. Am.}}
-
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-
- at STRING{EOS = {Eos Trans. AGU}}
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-
- at STRING{geophysics = {Geophysics}}
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-}
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-}
+This file was created with JabRef 2.2.
+Encoding: Cp1252
-
- at ARTICLE{ChSaHa96,
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+ at STRING{bssa = {Bull. Seismol. Soc. Am.}}
+
+ at STRING{cmame = {Comput. Methods Appl. Mech. Engrg.}}
+
+ at STRING{eesd = {Earthquake Eng. Struct. Dyn.}}
+
+ at STRING{EOS = {Eos Trans. AGU}}
+
+ at STRING{EPSL = {Earth Planet. Sci. Lett.}}
+
+ at STRING{geophysics = {Geophysics}}
+
+ at STRING{gji = {Geophys. J. Int.}}
+
+ at STRING{gjras = {Geophys. J. R. Astron. Soc.}}
+
+ at STRING{gp = {Geophys. Prosp.}}
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+ at STRING{grl = {Geophys. Res. Lett.}}
+
+ at STRING{ijnme = {Int. J. Numer. Meth. Engng.}}
+
+ at STRING{jap = {J. Appl. Phys.}}
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+ at STRING{jca = {J. Comput. Acoust.}}
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+ at STRING{jcp = {J. Comput. Phys.}}
+
+ at STRING{jgr = {J. Geophys. Res.}}
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+ author = {Laura Carrington and Dimitri Komatitsch and Michael Laurenzano and
+ Mustafa Tikir and David Mich\'ea and Nicolas {Le Goff} and Allan
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}
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+ title = {Crustal deformation measured by {GPS} in the {S}outh {I}celand {S}eismic
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+ number = {2}
+}
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+}
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+ and Hjorleifsdottir, V. and Kanamori, H. and Lay, T. and Das, S.
+ and Helmberger, D. and Ichinose, G. and Polet, J. and Wald, D.},
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+ journal = {Science},
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+}
+
+ at PHDTHESIS{Amp02,
+ author = {Jean-Paul Ampuero},
+ title = {\'Etude physique et num\'erique de la nucl\'eation des s\'eismes
+ ({A} physical and numerical study of earthquake nucleation)},
+ school = {Institut de Physique du Globe},
+ year = {2002},
+ address = {Paris, France}
+}
+
+ at ARTICLE{anderson1987,
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+ year = {1987},
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+}
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+ title = {Control of strong motion by the upper 30~meters},
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+ year = {1996},
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+}
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+ problem in acoustic scattering},
+ journal = {Math. Model. Numer. Anal.},
+ year = {2005},
+ volume = {39},
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+ number = {5}
+}
+
+ at INPROCEEDINGS{AnBa104,
+ author = {X. Antoine and H. Barucq},
+ title = {On the construction of approximate boundary conditions for solving
+ the interior problem of the acoustic scattering transmission problem},
+ booktitle = {Methods in Science and Engineering},
+ year = {2004},
+ volume = {40},
+ series = {Lecture Notes in computational science and engineering},
+ pages = {133-140}
+}
+
+ at ARTICLE{AnBa01,
+ author = {X. Antoine and H. Barucq},
+ title = {Microlocal diagonalization of strictly hyperbolic pseudodifferential
+ systems and application to the design of radiation conditions in
+ electromagnetism},
+ journal = {SIAM J. Appl. Math.},
+ year = {2001},
+ volume = {6},
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+}
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+ author = {Antoine, X. and Barucq, H. and Bendali, A.},
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+ shape},
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+}
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+ title = {High-frequency asymptotic analysis of a dissipative transmission
+ problem resulting in generalized impedance boundary conditions},
+ journal = {Asymptotic Analysis},
+ year = {2001},
+ volume = {3},
+ pages = {257-284},
+ number = {4}
+}
+
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+}
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+}
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+}
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+}
+
+ at PHDTHESIS{da,
+ author = {D. Apprato},
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+ school = {Universit\'e de Pau et des Pays de l'Adour},
+ year = {1987},
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+}
+
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+ with application to ship track data in the {M}arianas trench},
+ journal = {Math. Geol.},
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+ volume = {34},
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+}
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+ address = {New York}
+}
+
+ at TECHREPORT{ra,
+ author = {R. Arcang\'eli},
+ title = {{$D^m$}-splines sur un domaine born\'e de {$\Rsymbol$}},
+ institution = {UA 1204 CNRS, Universit\'e de Pau et des Pays de l'Adour},
+ year = {1986},
+ number = {1986/2},
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+ note = {47 p.}
+}
+
+ at BOOK{AtPr90,
+ title = {\'El\'ements d'analyse num\'erique},
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+}
+
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+ sedimentary valley},
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+ publisher = {Balkema},
+ year = {1985},
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+}
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+}
+
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+ title = {M\'ethodes spectrales et des \'el\'ements spectraux},
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+ year = {1994},
+ address = {Universit\'e de Rennes, France}
+}
+
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+ author = {I. B\'ardi and O. B\'{\i}r\'o and K. Preis},
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+
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+ anisotropic waves},
+ journal = jcp,
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+ pages = {399-433},
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+}
+
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+ equations},
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+}
+
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+ author = {E. B\'ecache and P. Joly and C. Tsogka},
+ title = {Fictitious Domains, Mixed Finite Elements and {P}erfectly {M}atched
+ {L}ayers for {2-D} Elastic Wave Propagation},
+ journal = jca,
+ year = {2001},
+ volume = {9},
+ pages = {1175--1203},
+ number = {3}
+}
+
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+ author = {E. B\'ecache and P. G. Petropoulos and S. G. Gedney},
+ title = {On the Long-Time Behavior of Unsplit Perfectly Matched Layers},
+ journal = {IEEE Transactions on Antennas and Propagation},
+ year = {2004},
+ volume = {52},
+ pages = {1335-1342},
+ number = {5},
+ doi = {10.1109/TAP.2004.827253}
+}
+
+ at ARTICLE{Ber02a,
+ author = {J. P. B\'erenger},
+ title = {Application of the {CFS} {PML} to the absorption of evanescent waves
+ in waveguides},
+ journal = {IEEE Microwave and Wireless Components Letters},
+ year = {2002},
+ volume = {12},
+ pages = {218-220},
+ number = {6},
+ doi = {10.1109/LMWC.2002.1010000}
+}
+
+ at ARTICLE{Ber02b,
+ author = {J. P. B\'erenger},
+ title = {Numerical reflection from {FDTD-PML}s: A comparison of the split
+ {PML} with the unsplit and {CFS PML}s},
+ journal = {IEEE Transactions on Antennas and Propagation},
+ year = {2002},
+ volume = {50},
+ pages = {258-265},
+ number = {3},
+ doi = {10.1109/8.999615}
+}
+
+ at ARTICLE{Ber96,
+ author = {J. P. B\'erenger},
+ title = {Three-dimensional {P}erfectly {M}atched {L}ayer for the absorption
+ of electromagnetic waves},
+ journal = jcp,
+ year = {1996},
+ volume = {127},
+ pages = {363-379}
+}
+
+ at ARTICLE{Ber94,
+ author = {J. P. B\'erenger},
+ title = {A {P}erfectly {M}atched {L}ayer for the absorption of electromagnetic
+ waves},
+ journal = jcp,
+ year = {1994},
+ volume = {114},
+ pages = {185-200}
+}
+
+ at ARTICLE{BaDo81,
+ author = {I. Babu\u{s}ka and M. R. Dorr},
+ title = {Error estimates for the combined $h$ and $p$ version of the finite
+ element method},
+ journal = {Numer. Math.},
+ year = {1981},
+ volume = {37},
+ pages = {257-277}
+}
+
+ at ARTICLE{BaSzKa81,
+ author = {I. Babu\u{s}ka and B. A. Szab\'o and I. N. Katz},
+ title = {The $p$ version of the finite element method},
+ journal = {SIAM J. Numer. Anal.},
+ year = {1981},
+ volume = {18},
+ pages = {512-545}
+}
+
+ at ARTICLE{babuska1995,
+ author = {I. Babuska and F. Ihlenburg and E. T. Paik and S. A. Sauter},
+ title = {A generalized finite element method for solving the {H}elmholtz equation
+ in two dimensions with minimal pollution},
+ journal = cmame,
+ year = {1995},
+ volume = {128},
+ pages = {325-359},
+ number = {3-4}
+}
+
+ at ARTICLE{Bac76,
+ author = {G. A. Backer},
+ title = {Error estimates for the finite element method for second order hyperbolic
+ equations},
+ journal = {SIAM J. Num. Anal.},
+ year = {1976},
+ volume = {13},
+ pages = {564-575}
+}
+
+ at ARTICLE{Bac62,
+ author = {G. E. Backus},
+ title = {Long-wave elastic anisotropy produced by horizontal layering},
+ journal = jgr,
+ year = {1962},
+ volume = {67},
+ pages = {4427-4440}
+}
+
+ at ARTICLE{BaEnHaJo88,
+ author = {A. Bamberger and B. Engquist and L. Halpern and P. Joly},
+ title = {Higher order paraxial wave equation approximations in heterogeneous
+ media},
+ journal = {SIAM J. Appl. Math.},
+ year = {1988},
+ volume = {48},
+ pages = {129-154}
+}
+
+ at ARTICLE{BaJoRo90,
+ author = {A. Bamberger and P. Joly and J. E. Roberts},
+ title = {Second order absorbing boundary conditions for the wave equation:
+ a solution for the corner problem},
+ journal = {SIAM J. Numer. Anal.},
+ year = {1990},
+ volume = {27},
+ pages = {323-352}
+}
+
+ at ARTICLE{BaBiGhKaOhShXu98,
+ author = {H. Bao and J. Bielak and O. Ghattas and L. F. Kallivokas and D. R.
+ O'Hallaron and J. R. Shewchuk and J. Xu},
+ title = {Large-scale simulation of elastic wave propagation in heterogeneous
+ media on parallel computers},
+ journal = cmame,
+ year = {1998},
+ volume = {152},
+ pages = {85-102}
+}
+
+ at ARTICLE{BaBo85,
+ author = {Pierre-Yves Bard and Michel Bouchon},
+ title = {The two-dimensional resonance of sediment-filled valleys},
+ journal = bssa,
+ year = {1985},
+ volume = {75},
+ pages = {519-541}
+}
+
+ at ARTICLE{BaBo80a,
+ author = {Pierre-Yves Bard and Michel Bouchon},
+ title = {The seismic response of sediment-filled valleys, {P}art 1: The case
+ of incident {SH} waves},
+ journal = bssa,
+ year = {1980},
+ volume = {70},
+ pages = {1263-1286}
+}
+
+ at ARTICLE{BaBo80b,
+ author = {Pierre-Yves Bard and Michel Bouchon},
+ title = {The seismic response of sediment-filled valleys, {P}art 2: The case
+ of incident {P} and {SV} waves},
+ journal = bssa,
+ year = {1980},
+ volume = {70},
+ pages = {1921-1941}
+}
+
+ at ARTICLE{Bar82,
+ author = {P. Y. Bard},
+ title = {Diffracted waves and displacement field over two dimensional topographies},
+ journal = gjras,
+ year = {1982},
+ volume = {71},
+ pages = {731-760}
+}
+
+ at ARTICLE{bardos,
+ author = {Bardos, C. and Lebeau, G. and Rauch, J.},
+ title = {Gevrey regularity and distribution of the scattering frequencies},
+ journal = {Invent. Math.},
+ year = {1987},
+ volume = {90},
+ pages = {77-114}
+}
+
+ at INPROCEEDINGS{Ba03,
+ author = {H. Barucq},
+ title = {A family of first-order conditions for the long-time stability of
+ the {M}axwell system},
+ booktitle = {Mathematical and Numerical Aspects of Wave Propagation: Waves 2003},
+ year = {2003},
+ editor = {Gary Cohen and Erkki Heikkola and Patrick Joly and Pekka Neittaanm\"aki},
+ series = {Proceedings of the Sixth International Conference on Mathematical
+ and Numerical Aspects of Wave Propagation},
+ address = {Jyv\"askyl\"a, Finland},
+ publisher = {Springer-Verlag}
+}
+
+ at ARTICLE{Bar02,
+ author = {H. Barucq},
+ title = {A new family of first-order boundary conditions for the {M}axwell
+ system: derivation, well-posedness and long-time behavior},
+ journal = {J. Math. Pures Appl.},
+ year = {2002},
+ volume = {82},
+ pages = {67--88}
+}
+
+ at ARTICLE{BaBeDj04,
+ author = {Barucq, H. and Bekkey, C. and Djellouli, R.},
+ title = {Construction of local boundary conditions for an eigenvalue problem
+ using micro-local analysis. Application to optical waveguide problem},
+ journal = {J. Comp. Phys.},
+ year = {2004},
+ volume = {193},
+ pages = {666-696},
+ number = {2},
+ note = {to appear}
+}
+
+ at ARTICLE{BaDeHa98,
+ author = {H. Barucq and F. Delaurens and B. Hanouzet},
+ title = {Method of Absorbing Boundary conditions: Phenomena of error stabilization},
+ journal = {SIAM J. Numer. Anal.},
+ year = {1998},
+ volume = {35},
+ pages = {1113-1129}
+}
+
+ at ARTICLE{b0.4,
+ author = {H. Barucq and M. Fontes},
+ title = {Analysis of the three-dimensional {M}axwell system coupled with strongly
+ absorbing layers},
+ journal = {Journal de Math\'ematiques Pures et Appliqu\'ees},
+ year = {2006},
+ note = {, in press.}
+}
+
+ at ARTICLE{BaHa97,
+ author = {H. Barucq and B. Hanouzet},
+ title = {Asymptotic Behavior of solutions to {M}axwell's system with absorbing
+ {S}ilver-{M}uller condition on the exterior boundary},
+ journal = {Asympt. Anal.},
+ year = {1997},
+ volume = {15},
+ pages = {465-473}
+}
+
+ at ARTICLE{BaMaSm204,
+ author = {H. Barucq and M. Madaune-Tort and P. Saint-Macary},
+ title = {Asymptotic models in porous media arising from a {B}iot system},
+ journal = {Advances in Differential Equations},
+ year = {2006},
+ volume = {11},
+ pages = {61-90},
+ number = {1}
+}
+
+ at ARTICLE{BarucqMadauneSaintMacary12005,
+ author = {H. Barucq and M. Madaune-Tort and P. Saint-Macary},
+ title = {Some existence-uniqueness results for a class of one-dimensional
+ nonlinear {B}iot models},
+ journal = {Nonlinear Analysis: Theory, Methods and Applications},
+ year = {2005},
+ volume = {61},
+ pages = {591-612},
+ number = {4}
+}
+
+ at ARTICLE{BarucqMadauneSaintMacary22005,
+ author = {H. Barucq and M. Madaune-Tort and P. Saint-Macary},
+ title = {On nonlinear {B}iot consolidation models},
+ journal = {Nonlinear Analysis: Theory, Methods and Applications},
+ year = {2005},
+ volume = {63},
+ pages = {e985-e995},
+ number = {5-7}
+}
+
+ at ARTICLE{BaLaMa00,
+ author = {C. Bassin and G. Laske and G. Masters},
+ title = {The Current Limits of Resolution for Surface Wave Tomography in {N}orth
+ {A}merica},
+ journal = {EOS},
+ year = {2000},
+ volume = {81},
+ pages = {F897}
+}
+
+ at ARTICLE{BaCh04,
+ author = {U. Basu and A. K. Chopra},
+ title = {Perfectly matched layers for transient elastodynamics of unbounded
+ domains},
+ journal = ijnme,
+ year = {2004},
+ volume = {59},
+ pages = {1039-1074}
+}
+
+ at ARTICLE{BaCh03,
+ author = {U. Basu and A. K. Chopra},
+ title = {Perfectly matched layers for time-harmonic elastodynamics of unbounded
+ domains: theory and finite-element implementation},
+ journal = cmame,
+ year = {2003},
+ volume = {192},
+ pages = {1337--1375}
+}
+
+ at ARTICLE{Bat87,
+ author = {G. Battle},
+ title = {A block spin construction of wavelets, Part 1: {L}emari\'e functions},
+ journal = {Communications in Mathematical Physics},
+ year = {1987},
+ volume = {110},
+ pages = {9999998-9999999}
+}
+
+ at ARTICLE{BaJoLeTu86,
+ author = {A. Bayliss and K. E. Jordan and B. J. Lemesurier and E. Turkel},
+ title = {A fourth-order accurate finite-difference scheme for the computation
+ of elastic waves},
+ journal = bssa,
+ year = {1986},
+ volume = {76},
+ pages = {1115-1132}
+}
+
+ at ARTICLE{BaTu80,
+ author = {A. Bayliss and E. Turkel},
+ title = {Radiation boundary conditions for wave-like equations},
+ journal = {Comm. Pure Appl. Math.},
+ year = {1980},
+ volume = {33},
+ pages = {707-725}
+}
+
+ at ARTICLE{baysal83,
+ author = {E. Baysal and D. D. Kosloff and J. W. C. Sherwood},
+ title = {Reverse-time migration},
+ journal = {Geophysics},
+ year = {1983},
+ volume = {48},
+ pages = {1514-1524}
+}
+
+ at ARTICLE{beckerboschi2002,
+ author = {T. W. Becker and L. Boschi},
+ title = {A comparison of tomographic and geodynamic mantle models},
+ journal = {Geochem. Geophys. Geosyst.},
+ year = {2002},
+ volume = {3},
+ pages = {1003},
+ number = {1},
+ doi = {10.1029/2001GC000168}
+}
+
+ at INCOLLECTION{BeMu78,
+ author = {Ted Belytschko and R. Mullen},
+ title = {On dispersive properties of finite element solutions},
+ booktitle = {Modern problems in elastic wave propagation},
+ publisher = {John Wiley and Sons},
+ year = {1978},
+ editor = {J. Miklowitz and J. D. Achenbach},
+ volume = {67},
+ address = {New-York}
+}
+
+ at ARTICLE{BePlKeGr90,
+ author = {Ted Belytschko and E. J. Plaskacz and J. M. Kennedy and D. L. Greenwell},
+ title = {Finite element analysis on the {C}onnection {M}achine},
+ journal = cmame,
+ year = {1990},
+ volume = {81},
+ pages = {229-254}
+}
+
+ at BOOK{Ben81,
+ title = {Seismic waves and sources},
+ publisher = {Springer-Verlag},
+ year = {1981},
+ author = {Ari Ben-Menahem and Sarva Jit. Singh},
+ address = {New York}
+}
+
+ at ARTICLE{BeOl05,
+ author = {Rafael Benites and Kim B. Olsen},
+ title = {Modeling Strong Ground Motion in the {W}ellington Metropolitan Area,
+ {N}ew {Z}ealand},
+ journal = bssa,
+ year = {2005},
+ volume = {95},
+ pages = {2180-2196},
+ number = {6},
+ doi = {10.1785/0120040223}
+}
+
+ at INPROCEEDINGS{BeHePrRo06b,
+ author = {Alfredo Berm\'udez and Luis Hervella-Nieto and Andr\'es Prieto and
+ Rodolfo Rodr\'{\i}guez},
+ title = {An optimal finite-element/{PML} method for the simulation of acoustic
+ wave propagation phenomena},
+ booktitle = {Variational Formulations in Mechanics: Theory and Applications},
+ year = {2006},
+ editor = {E. Taroco and E. A. de Souza Neto and A. A. Novotny},
+ address = {Barcelona, Spain},
+ publisher = {CIMNE}
+}
+
+ at ARTICLE{BeHePrRo06,
+ author = {Alfredo Berm\'udez and Luis Hervella-Nieto and Andr\'es Prieto and
+ Rodolfo Rodr\'{\i}guez},
+ title = {An optimal perfectly matched layer with unbounded absorbing function
+ for time-harmonic acoustic scattering problems},
+ journal = jcp,
+ year = {2007},
+ volume = {223},
+ pages = {469-488},
+ number = {2},
+ doi = {10.1016/j.jcp.2006.09.018}
+}
+
+ at ARTICLE{BeHeRo99,
+ author = {A. Berm\'udez and L. Hervella-Nieto and R. Rodriguez},
+ title = {Finite element computation of three-dimensional elastoacoustic vibrations},
+ journal = {J. Sound Vibr.},
+ year = {1999},
+ volume = {219},
+ pages = {279-306}
+}
+
+ at ARTICLE{BeRo94,
+ author = {A. Berm\'udez and R. {Rodr\'\i guez}},
+ title = {Finite element computation of the vibration modes of a fluid-solid
+ system},
+ journal = cmame,
+ year = {1994},
+ volume = {119},
+ pages = {355-370}
+}
+
+ at ARTICLE{BeLaPi06,
+ author = {Marc Bernacki and St\'ephane Lanteri and Serge Piperno},
+ title = {Time-Domain Parallel Simulation Of Heterogeneous Wave Propagation
+ On Unstructured Grids Using Explicit, Nondiffusive, Discontinuous
+ {G}alerkin Methods},
+ journal = jca,
+ year = {2006},
+ volume = {14},
+ pages = {57–81},
+ number = {1}
+}
+
+ at ARTICLE{BeDeMa90,
+ author = {C. Bernardi and N. Debit and Y. Maday},
+ title = {Coupling finite element and spectral methods: first results},
+ journal = {Mathematics of Computation},
+ year = {1990},
+ volume = {54},
+ pages = {21-39}
+}
+
+ at BOOK{BeMa92,
+ title = {Approximations spectrales de probl\`emes aux limites elliptiques},
+ publisher = {Springer-Verlag},
+ year = {1992},
+ author = {C. Bernardi and Y. Maday},
+ address = {Paris}
+}
+
+ at INPROCEEDINGS{BeMaPa94,
+ author = {C. Bernardi and Y. Maday and A. T. Patera},
+ title = {A new nonconforming approach to domain decomposition: the {M}ortar
+ element method},
+ booktitle = {Nonlinear partial differential equations and their applications},
+ year = {1994},
+ editor = {H. Brezis and J. L. Lions},
+ series = {S\'eminaires du Coll\`ege de France},
+ pages = {13-51},
+ address = {Paris},
+ publisher = {Pitman}
+}
+
+ at ARTICLE{Biel84,
+ author = {J. Bielak and P. Christiano},
+ title = {On the effective seismic input for non-linear soil-structure interaction
+ systems},
+ journal = {Earthquake Eng. Struct. Dyn.},
+ year = {1984},
+ volume = {12},
+ pages = {107--119}
+}
+
+ at ARTICLE{BiGhKi05,
+ author = {J. Bielak and O. Ghattas and E. J. Kim},
+ title = {Parallel Octree-Based Finite Element Method for Large-Scale Earthquake
+ Ground Motion Simulation},
+ journal = {Computer Modeling in Engineering and Sciences},
+ year = {2005},
+ volume = {10},
+ pages = {99-112},
+ number = {2}
+}
+
+ at ARTICLE{BiXuGh99,
+ author = {J. Bielak and J. Xu and O. Ghattas},
+ title = {Earthquake ground motion and structural response in alluvial valleys},
+ journal = {J. Geotech. Geoenv. Eng.},
+ year = {1999},
+ volume = {125},
+ pages = {413-423}
+}
+
+ at ARTICLE{Biot56a,
+ author = {M. A. Biot},
+ title = {Theory of propagation of elastic waves in a fluid-saturated porous
+ solid. {I: L}ow-frequency range},
+ journal = jasa,
+ year = {1956},
+ volume = {28},
+ pages = {168-178}
+}
+
+ at ARTICLE{Biot56b,
+ author = {M. A. Biot},
+ title = {Theory of propagation of elastic waves in a fluid-saturated porous
+ solid. {II: H}igher-frequency range},
+ journal = jasa,
+ year = {1956},
+ volume = {28},
+ pages = {179-191}
+}
+
+ at ARTICLE{Bio52,
+ author = {M. A. Biot},
+ title = {The interaction of {R}ayleigh and {S}toneley waves in the ocean bottom},
+ journal = bssa,
+ year = {1952},
+ volume = {42},
+ pages = {81-93}
+}
+
+ at BOOK{SB95,
+ title = {Surface acoustic waves in inhomogeneous media},
+ publisher = {Springer-Verlag},
+ year = {1995},
+ author = {Biryukov, S. V. and Gulyaev, Yu. V. and Krylov, V. V. and Plessky,
+ V. P.}
+}
+
+ at ARTICLE{Bit05,
+ author = {M. L. Bittencourt},
+ title = {Fully tensorial nodal and modal shape functions for triangles and
+ tetrahedra},
+ journal = ijnme,
+ year = {2005},
+ volume = {63},
+ pages = {1530-1558},
+ number = {11},
+ doi = {10.1002/nme.1325}
+}
+
+ at ARTICLE{BoSaenger06,
+ author = {Thomas Bohlen and Erik H. Saenger},
+ title = {Accuracy of heterogeneous staggered-grid finite-difference modeling
+ of {R}ayleigh waves},
+ journal = geophysics,
+ year = {2006},
+ volume = {71},
+ pages = {T109-T115},
+ number = {4},
+ doi = {10.1190/1.2213051}
+}
+
+ at ARTICLE{BoHa77,
+ author = {B. A. Bolt and R. A. Hansen},
+ title = {The upthrow of objects in earthquakes},
+ journal = bssa,
+ year = {1977},
+ volume = {67},
+ pages = {1415-1427}
+}
+
+ at ARTICLE{BoVi91,
+ author = {O. Bonamassa and J. E. Vidale},
+ title = {Directional site resonances observed from aftershocks of the 18 october
+ 1989 {L}oma {P}rieta earthquake},
+ journal = bssa,
+ year = {1991},
+ volume = {81},
+ pages = {1945-1957}
+}
+
+ at BOOK{Bon95,
+ title = {\'Equations int\'egrales et \'el\'ements de fronti\`ere},
+ publisher = {CNRS \'Editions, Eyrolles},
+ year = {1995},
+ author = {M. Bonnet},
+ address = {Paris}
+}
+
+ at INCOLLECTION{Boo72a,
+ author = {D. M. Boore},
+ title = {Finite difference methods for seismic wave propagation in heterogeneous
+ materials},
+ booktitle = {Methods in Computational Physics},
+ publisher = {Academic Press},
+ year = {1972},
+ volume = {11},
+ address = {New York}
+}
+
+ at ARTICLE{Boo72b,
+ author = {D. M. Boore},
+ title = {A note on the effect of simple topography on seismic {{\it SH}} waves},
+ journal = bssa,
+ year = {1972},
+ volume = {62},
+ pages = {275-284}
+}
+
+ at ARTICLE{BoHaHa81,
+ author = {D. M. Boore and S. C. Harmsen and S. T. Harding},
+ title = {Wave scattering from a steep change in surface topography},
+ journal = bssa,
+ year = {1981},
+ volume = {71},
+ pages = {117-125}
+}
+
+ at ARTICLE{BoCr83,
+ author = {D. C. Booth and S. Crampin},
+ title = {The anisotropic reflectivity technique: theory},
+ journal = {Geophys. J. R. Astr. Soc.},
+ year = {1983},
+ volume = {72},
+ pages = {755-766}
+}
+
+ at ARTICLE{Bos91,
+ author = {L. Bos},
+ title = {On certain configurations of points in {{\rm I\kern -0.18 em R}$^n$}
+ which are unisolvent for polynomial interpolation},
+ journal = {J. Approx. Theory},
+ year = {1991},
+ volume = {64},
+ pages = {271-280}
+}
+
+ at ARTICLE{BoTaWi01,
+ author = {L. P. Bos and M. A. Taylor and B. A. Wingate},
+ title = {Tensor Product {G}auss-{L}obatto Points are {F}ekete Points for the
+ Cube},
+ journal = {Math. Comp.},
+ year = {2001},
+ volume = {70},
+ pages = {1543-1547}
+}
+
+ at ARTICLE{BoGriMia,
+ author = {A. Bossavit and G. Griso and B. Miara},
+ title = {Modelling of periodic electromagnetic structures bianosotropic materials
+ with memory effects},
+ journal = {Journal de Math\'ematiques Pures et Appliqu\'ees},
+ year = {2005},
+ volume = {84},
+ pages = {819-850},
+ number = {7}
+}
+
+ at ARTICLE{Bos02,
+ author = {M. G. Bostock},
+ title = {Kirchhoff-approximate inversion of teleseismic wavefields},
+ journal = gji,
+ year = {2002},
+ volume = {149},
+ pages = {787--795}
+}
+
+ at ARTICLE{BoRo99,
+ author = {M. G. Bostock and S. Rondenay},
+ title = {Migration of scattered teleseismic body waves},
+ journal = gji,
+ year = {1999},
+ volume = {137},
+ pages = {732--746}
+}
+
+ at ARTICLE{BoRoSh01,
+ author = {M. G. Bostock and S. Rondenay and J. Shragge},
+ title = {Multiparameter two-dimensional inversion of scattered teleseismic
+ body waves - 1. {T}heory for oblique incidence},
+ journal = jgr,
+ year = {2001},
+ volume = {106},
+ pages = {30771--30782}
+}
+
+ at ARTICLE{Bou96,
+ author = {M. Bouchon},
+ title = {The discrete wave number formulation of boundary integral equations
+ and boundary element methods: a review with applications to the simulation
+ of seismic wave propagation in complex geological structures},
+ journal = pageoph,
+ year = {1996},
+ volume = {148},
+ pages = {3-20},
+ number = {1}
+}
+
+ at ARTICLE{Bou85,
+ author = {M. Bouchon},
+ title = {A simple complete numerical solution of the problem of diffraction
+ of {{\it SH}} waves by an irregular surface},
+ journal = jasa,
+ year = {1985},
+ volume = {77},
+ pages = {1-5}
+}
+
+ at ARTICLE{Bou81,
+ author = {M. Bouchon},
+ title = {A simple method to calculate {G}reen's functions for elastic layered
+ media},
+ journal = bssa,
+ year = {1981},
+ volume = {71},
+ pages = {959-971}
+}
+
+ at ARTICLE{Bou79,
+ author = {M. Bouchon},
+ title = {Discrete wavenumber representation of elastic wave fields in three
+ space dimensions},
+ journal = jgr,
+ year = {1979},
+ volume = {84},
+ pages = {3609-3614}
+}
+
+ at ARTICLE{Bou78,
+ author = {M. Bouchon},
+ title = {The importance of the surface interface {{\it P}} wave in near-earthquake
+ studies},
+ journal = bssa,
+ year = {1978},
+ volume = {68},
+ pages = {1293-1311}
+}
+
+ at ARTICLE{Bou73,
+ author = {M. Bouchon},
+ title = {Effect of topography on surface motion},
+ journal = bssa,
+ year = {1973},
+ volume = {63},
+ pages = {615-632}
+}
+
+ at ARTICLE{BoAk77,
+ author = {M. Bouchon and K. Aki},
+ title = {Discrete wavenumber representation of seismic-source wave fields},
+ journal = bssa,
+ year = {1977},
+ volume = {67},
+ pages = {259-277}
+}
+
+ at ARTICLE{BoBa96,
+ author = {M. Bouchon and J. S. Barker},
+ title = {Seismic response of a hill: the example of {T}arzana, {C}alifornia},
+ journal = bssa,
+ year = {1996},
+ volume = {86},
+ pages = {66-72},
+ number = {1A}
+}
+
+ at ARTICLE{BoCaGa89,
+ author = {M. Bouchon and M. Campillo and S. Gaffet},
+ title = {A boundary integral equation-discrete wavenumber representation method
+ to study wave propagation in multilayered media having irregular
+ interfaces},
+ journal = geophysics,
+ year = {1989},
+ volume = {54},
+ pages = {1134-1140}
+}
+
+ at INCOLLECTION{BoSanchez06,
+ author = {M. Bouchon and F. J. S\'anchez-Sesma},
+ title = {Boundary-integral equations and boundary-element methods in elastodynamics},
+ booktitle = {Advances in Wave Propagation in Heterogeneous Media},
+ publisher = {Elsevier},
+ year = {2006},
+ editor = {Ru-Shan Wu and Val\'erie Maupin},
+ series = {Advances in Geophysics}
+}
+
+ at ARTICLE{BoScTo96,
+ author = {M. Bouchon and C. A. Schultz and M. Nafi T\"oksoz},
+ title = {Effect of three-dimensional topography on seismic motion},
+ journal = jgr,
+ year = {1996},
+ volume = {101},
+ pages = {5835-5846}
+}
+
+ at ARTICLE{BoScTo95,
+ author = {M. Bouchon and C. A. Schultz and M. Nafi T\"oksoz},
+ title = {A fast implementation of boundary integral equation methods to calculate
+ the propagation of seismic waves in laterally varying layered media},
+ journal = bssa,
+ year = {1995},
+ volume = {85},
+ pages = {1679-1687}
+}
+
+ at PHDTHESIS{ab,
+ author = {A. Bouhamidi},
+ title = {Interpolation et approximation par des fonctions splines radiales
+ \`a plusieurs variables},
+ school = {Universit\'e de Nantes},
+ year = {1992},
+ address = {Nantes, France},
+ note = {190 p.}
+}
+
+ at ARTICLE{boutet,
+ author = {Boutet de Monvel, L. and Kr\'ee, P.},
+ title = {Pseudo-differential operators and {G}evrey classes},
+ journal = {Ann. Inst. Four.},
+ year = {1967},
+ volume = {17},
+ pages = {295-323}
+}
+
+ at ARTICLE{Bremmer,
+ author = {Bremmer, H.},
+ title = {The {WKB} approximation as the first term of a geometric-optical
+ series},
+ journal = {Comm. Pure Appl. Math.},
+ year = {1951},
+ volume = {9999999},
+ pages = {105-115}
+}
+
+ at INCOLLECTION{brezzifortin,
+ author = {F. Brezzi and M. Fortin},
+ title = {Mixed and Hybrid Finite Element Methods},
+ booktitle = {Springer Series in Computational Mathematics},
+ publisher = {Springer},
+ year = {1991},
+ volume = {15},
+ address = {New-York, USA}
+}
+
+ at BOOK{Bri64,
+ title = {Tensors in Mechanics and Elasticity},
+ publisher = {Academic Press},
+ year = {1964},
+ author = {L. Brillouin},
+ address = {New York},
+ edition = {3rd}
+}
+
+ at BOOK{Cag39,
+ title = {R\'eflexion et R\'efraction des Ondes Sismiques Progressives},
+ publisher = {Gauthiers-Villars},
+ year = {1939},
+ author = {L. Cagniard},
+ address = {Paris}
+}
+
+ at ARTICLE{Cam87,
+ author = {M. Campillo},
+ title = {{$L_g$} wave propagation in a laterally varying crust and the distribution
+ of the apparent quality factor in {C}entre {F}rance},
+ journal = jgr,
+ year = {1987},
+ volume = {92},
+ pages = {12604-12614}
+}
+
+ at ARTICLE{CaBo85,
+ author = {M. Campillo and M. Bouchon},
+ title = {Synthetic {{\it SH}} seismograms in laterally varying medium by discrete
+ wavenumber method},
+ journal = gjras,
+ year = {1985},
+ volume = {83},
+ pages = {307-317}
+}
+
+ at MISC{candes,
+ author = {Emmanuel Cand\`es},
+ year = {2006},
+ note = {See http://www.acm.caltech.edu/\~{}emmanuel for a recent list of
+ on-line publications on curvelets. Most of them are submitted.}
+}
+
+ at INCOLLECTION{CaDo99,
+ author = {E. J. Cand\`es and D. L. Donoho},
+ title = {Curvelets: A Surprisingly Effective Nonadaptive Representation for
+ Objects with Edges, Curves and Surfaces},
+ booktitle = {Curve and Surface Fitting},
+ publisher = {Vanderbilt University Press},
+ year = {1999},
+ editor = {A. Cohen and C. Rabut and L. L. Schumaker},
+ address = {Nashville, Tennessee, USA}
+}
+
+ at ARTICLE{CaFu88,
+ author = {C. Canuto and D. Funaro},
+ title = {The {S}chwarz algorithm for spectral methods},
+ journal = {SIAM J. Numer. Anal.},
+ year = {1988},
+ volume = {25},
+ pages = {24-40}
+}
+
+ at BOOK{CaHuQuZa88,
+ title = {Spectral methods in fluid dynamics},
+ publisher = {Springer-Verlag},
+ year = {1988},
+ author = {C. Canuto and M. Y. Hussaini and A. Quarteroni and T. A. Zang},
+ address = {New York}
+}
+
+ at ARTICLE{CaQu82,
+ author = {C. Canuto and A. Quarteroni},
+ title = {Approximation results for orthogonal polynomials in {S}obolev spaces},
+ journal = {Math. Comp.},
+ year = {1982},
+ volume = {38},
+ pages = {67-86}
+}
+
+ at PHDTHESIS{Ca00,
+ author = {Y. Capdeville},
+ title = {M\'ethode coupl\'ee \'el\'ements spectraux - solution modale pour
+ la propagation d'ondes dans la {T}erre \`a l'\'echelle globale ({A}
+ coupled method using spectral elements and normal modes for global
+ wave propagation in the {E}arth)},
+ school = {Universit\'e Paris {\sc VII} Denis Diderot},
+ year = {2000},
+ address = {Paris, France}
+}
+
+ at ARTICLE{CaChViMo03,
+ author = {Y. Capdeville and E. Chaljub and J. P. Vilotte and J. P. Montagner},
+ title = {Coupling the spectral element method with a modal solution for elastic
+ wave propagation in global {E}arth models},
+ journal = gji,
+ year = {2003},
+ volume = {152},
+ pages = {34--67}
+}
+
+ at ARTICLE{CaGuRo05,
+ author = {Y. Capdeville and Y. Gung and B. Romanowicz},
+ title = {Towards global {E}arth tomography using the spectral element method:
+ a technique based on source stacking},
+ journal = gji,
+ year = {2005},
+ volume = {162},
+ pages = {541-554}
+}
+
+ at ARTICLE{Caetal00,
+ author = {Y. Capdeville and E. Stutzmann and J.P. Montagner},
+ title = {Effect of a plume on long-period surface waves computed with normal-mode
+ coupling},
+ journal = pepi,
+ year = {2000},
+ volume = {119},
+ pages = {54-71}
+}
+
+ at ARTICLE{CaToRo03,
+ author = {Yann Capdeville and A. To and Barbara Romanowicz},
+ title = {Coupling spectral elements and modes in a spherical {E}arth: an extension
+ to the `sandwich' case},
+ journal = gji,
+ year = {2003},
+ volume = {154},
+ pages = {44--57}
+}
+
+ at BOOK{Car07,
+ title = {Wave Fields in Real Media: Wave Propagation in Anisotropic, Anelastic,
+ Porous and Electromagnetic Media},
+ publisher = {Elsevier Science},
+ year = {2007},
+ author = {Jos\'e M. Carcione},
+ address = {Amsterdam, The Netherlands},
+ edition = {Second},
+ note = {538 pages}
+}
+
+ at ARTICLE{Car99,
+ author = {J. M. Carcione},
+ title = {Staggered mesh for the anisotropic and viscoelastic wave equation},
+ journal = geophysics,
+ year = {1999},
+ volume = {64},
+ pages = {1863-1866}
+}
+
+ at ARTICLE{Car96,
+ author = {J. M. Carcione},
+ title = {A 2{D} {C}hebyshev differential operator for the elastic wave equation},
+ journal = cmame,
+ year = {1996},
+ volume = {130},
+ pages = {33-45}
+}
+
+ at ARTICLE{Carcio96,
+ author = {J. M. Carcione},
+ title = {Elastodynamic of a non-ideal interface: application to crack and
+ fracture scattering},
+ journal = jgr,
+ year = {1996},
+ volume = {101},
+ pages = {28177--28188},
+ number = {B12}
+}
+
+ at ARTICLE{Car94,
+ author = {J. M. Carcione},
+ title = {The wave equation in generalized coordinates},
+ journal = geophysics,
+ year = {1994},
+ volume = {59},
+ pages = {1911-1919}
+}
+
+ at ARTICLE{Car93,
+ author = {José M. Carcione},
+ title = {Seismic modeling in viscoelastic media},
+ journal = geophysics,
+ year = {1993},
+ volume = {58},
+ pages = {110-120},
+ number = {1},
+ doi = {10.1190/1.1443340}
+}
+
+ at ARTICLE{Car91,
+ author = {J. M. Carcione},
+ title = {Domain decomposition for wave propagation problems},
+ journal = {J. Sci. Comp.},
+ year = {1991},
+ volume = {6},
+ pages = {453-472},
+ number = {4}
+}
+
+ at ARTICLE{Car90,
+ author = {J. M. Carcione},
+ title = {Wave propagation in anisotropic linear viscoelastic media: theory
+ and simulated wavefields},
+ journal = gji,
+ year = {1990},
+ volume = {101},
+ pages = {739-750}
+}
+
+ at ARTICLE{CaKoBeSe92,
+ author = {J. M. Carcione and D. Kosloff and A. Behle and G. Seriani},
+ title = {A spectral scheme for wave propagation simulation in 3-{D} elastic-anisotropic
+ media},
+ journal = geophysics,
+ year = {1992},
+ volume = {57},
+ pages = {1593-1607},
+ number = {12}
+}
+
+ at ARTICLE{CaKoKo88,
+ author = {J. M. Carcione and D. Kosloff and R. Kosloff},
+ title = {Wave propagation simulation in an elastic anisotropic (transversely
+ isotropic) solid},
+ journal = {Q. J. Mech. Appl. Math.},
+ year = {1988},
+ volume = {41},
+ pages = {319-345},
+ number = {3}
+}
+
+ at ARTICLE{CaKoKo88b,
+ author = {J. M. Carcione and D. Kosloff and R. Kosloff},
+ title = {Wave propagation simulation in a linear viscoelastic medium},
+ journal = gji,
+ year = {1988},
+ volume = {95},
+ pages = {597-611}
+}
+
+ at ARTICLE{CaWa93,
+ author = {J. M. Carcione and P. J. Wang},
+ title = {A {C}hebyshev Collocation Method for the Wave Equation in Generalized
+ Coordinates},
+ journal = {Comp. Fluid Dyn. J.},
+ year = {1993},
+ volume = {2},
+ pages = {269-290}
+}
+
+ at ARTICLE{CaKiCrWoSpMu90,
+ author = {D. L. Carver and K. W. King and E. Cranswick and D. W. Worley and
+ P. Spudich and C. Mueller},
+ title = {Digital recordings of aftershocks of the {O}ctober 17, 1989, {L}oma
+ {P}rieta, {C}alifornia, earthquake: {S}anta {C}ruz, {L}os {G}atos,
+ and surrounding areas},
+ journal = {U.S. Geol. Surv. Open File Rep.},
+ year = {1990},
+ volume = {90},
+ pages = {90-683}
+}
+
+ at TECHREPORT{CaGa97,
+ author = {F. Casadei and E. Gabellini},
+ title = {Implementation of a 3{D} coupled {S}pectral {E}lement solver for
+ wave propagation and soil-structure interaction simulations},
+ institution = {European Commission Joint Research Center Report EUR17730EN},
+ year = {1997},
+ address = {Ispra, Italy}
+}
+
+ at ARTICLE{CaKiSa97,
+ author = {Caselles, V. and Kimmel, R. and Sapiro, G.},
+ title = {Geodesic {A}ctive {C}ontours},
+ journal = {Int. J. Comput. Vis.},
+ year = {1997},
+ volume = {22},
+ pages = {61-79},
+ number = {1}
+}
+
+ at ARTICLE{CaLe96,
+ author = {R. D. Catchings and W. H. K. Lee},
+ title = {Shallow velocity structure and {P}oisson's ratio at the {T}arzana,
+ {C}alifornia, strong-motion accelerometer site},
+ journal = bssa,
+ year = {1996},
+ volume = {86},
+ pages = {1704-1713}
+}
+
+ at ARTICLE{CeKoKoRe85,
+ author = {C. Cerjan and D. Kosloff and R. Kosloff and M. Reshef},
+ title = {A nonreflecting boundary condition for discrete acoustic and elastic
+ wave equation},
+ journal = geophysics,
+ year = {1985},
+ volume = {50},
+ pages = {705-708}
+}
+
+ at BOOK{cerveny01,
+ title = {Seismic Ray Theory},
+ publisher = {Cambridge University Press},
+ year = {2001},
+ author = {V. Cerven\'{y}},
+ address = {Cambridge, UK}
+}
+
+
+ at ARTICLE{ChSaHa96,
+ author = {F. J. Ch\'avez-Garc\'{\i}a and L. S\'anchez and D. Hatzfeld},
+ title = {Topographic site effects and HVSR. A comparison between observation
+ and theory},
+ journal = bssa,
+ year = {1996},
+ volume = {86},
+ pages = {1559-1573}
+}
+
+ at ARTICLE{ChTrHeKa07,
+ author = {M. Chen and J. Tromp and D. Helmberger and H. Kanamori},
+ title = {Waveform modeling of the slab beneath {J}apan},
+ journal = jgr,
+ year = {2007},
+ volume = {112},
pages = {B02305}
- doi = {10.1029/2006JB004394}
-}
-
- at PHDTHESIS{Ch00,
- author = {E. Chaljub},
- title = {Mod\'elisation num\'erique de la propagation d'ondes sismiques en
- g\'eom\'etrie sph\'erique : application \`a la sismologie globale
- ({N}umerical modeling of the propagation of seismic waves in spherical
- geometry: {a}pplication to global seismology)},
- school = {Universit\'e Paris {\sc VII} Denis Diderot},
- year = {2000},
- address = {Paris, France}
-}
-
- at ARTICLE{ChCaVi03,
- author = {E. Chaljub and Y. Capdeville and J. P. Vilotte},
- title = {Solving Elastodynamics in a Fluid-Solid Heterogeneous Sphere: a Parallel
- Spectral Element Approximation on Non-Conforming Grids},
- journal = jcp,
- year = {2003},
- volume = {187},
- pages = {457-491},
- number = {2}
-}
-
- at INPROCEEDINGS{CCGCK05,
- author = {Emmanuel Chaljub and C\'ecile Cornou and Philippe Gu\'eguen and Mathieu
- Causse and Dimitri Komatitsch},
- title = {Spectral-element modeling of 3{D} wave propagation in the alpine
- valley of {G}renoble, {F}rance},
- booktitle = {Geophysical Research Abstracts},
- year = {2005},
- volume = {7, 05225},
- publisher = {EGU 2nd general assembly, Wien, Austria}
-}
-
- at INCOLLECTION{ChKoViCaVaFe07,
- author = {Emmanuel Chaljub and Dimitri Komatitsch and Jean-Pierre Vilotte and
- Yann Capdeville and Bernard Valette and Gaetano Festa},
- title = {Spectral Element Analysis in Seismology},
- booktitle = {Advances in Wave Propagation in Heterogeneous Media},
- publisher = {Elsevier - Academic Press},
- year = {2007},
- editor = {Ru-Shan Wu and Val\'erie Maupin},
- volume = {48},
- series = {Advances in Geophysics},
- pages = {365-419}
-}
-
- at ARTICLE{ChTa97,
- author = {E. Chaljub and A. Tarantola},
- title = {Sensitivity of {SS} precursors to topography on the upper-mantle
- 660-km discontinuity},
- journal = grl,
- year = {1997},
- volume = {24},
- pages = {2613-2616},
- number = {21}
-}
-
- at ARTICLE{ChVa04,
- author = {E. Chaljub and B. Valette},
- title = {Spectral element modelling of three-dimensional wave propagation
- in a self-gravitating {E}arth with an arbitrarily stratified outer
- core},
- journal = gji,
- year = {2004},
- volume = {158},
- pages = {131-141}
-}
-
- at BOOK{openmp,
- title = {Parallel Programming in {O}pen{MP}},
- publisher = {Morgan Kaufmann, Elsevier},
- year = {2000},
- author = {Rohit Chandra and Ramesh Menon and Leo Dagum and David Kohr and Dror
- Maydan and Jeff McDonald},
- address = {San Francisco, USA}
-}
-
- at ARTICLE{ChPr92,
- author = {C. Chapman and R. G. Pratt},
- title = {Traveltime tomography in anisotropic media -{I}: Theory},
- journal = gji,
- year = {1992},
- volume = {109},
- pages = {1--19}
-}
-
- at ARTICLE{ChTr07,
- author = {Min Chen and Jeroen Tromp},
- title = {Theoretical and numerical investigations of global and regional seismic
- wave propagation in weakly anisotropic earth models},
- journal = gji,
- year = {2007},
- volume = {168},
- pages = {1130-1152},
- number = {3},
- doi = {10.1111/j.1365-246X.2006.03218.x}
-}
-
- at ARTICLE{ChenBabu96,
- author = {Q. Chen and I. Babu{\v s}ka},
- title = {The optimal symmetrical points for polynomial interpolation of real
- functions in the tetrahedron},
- journal = cmame,
- year = {1996},
- volume = {137},
- pages = {89-94}
-}
-
- at ARTICLE{ChenBabu95,
- author = {Q. Chen and I. Babu{\v s}ka},
- title = {Approximate optimal points for polynomial interpolation of real functions
- in an interval and in a triangle},
- journal = cmame,
- year = {1995},
- volume = {128},
- pages = {405-417}
-}
-
- at INCOLLECTION{Che06,
- author = {X. Chen},
- title = {Generation and propagation of seismic {SH} waves in multilayered
- media with irregular interfaces},
- booktitle = {Advances in Wave Propagation in Heterogeneous Media},
- publisher = {Elsevier},
- year = {2006},
- editor = {Ru-Shan Wu and Val\'erie Maupin},
- series = {Advances in Geophysics}
-}
-
- at ARTICLE{Che06b,
- author = {S. Chevrot},
- title = {Finite-frequency vectorial tomography: a new method for high-resolution
- imaging of upper mantle anisotropy},
- journal = gji,
- year = {2006},
- volume = {165},
- pages = {641-657},
- number = {2},
- doi = {10.1111/j.1365-246X.2006.02982.x}
-}
-
- at ARTICLE{ChFaKo04,
- author = {S. Chevrot and N. Favier and D. Komatitsch},
- title = {Shear wave splitting in three-dimensional anisotropic media},
- journal = gji,
- year = {2004},
- volume = {159},
- pages = {711-720},
- number = {2},
- doi = {10.1111/j.1365-246X.2004.02432.x}
-}
-
- at ARTICLE{ChLi96,
- author = {W. C. Chew and Q. Liu},
- title = {{P}erfectly {M}atched {L}ayers for elastodynamics: a new absorbing
- boundary condition},
- journal = jca,
- year = {1996},
- volume = {4},
- pages = {341--359},
- number = {4}
-}
-
- at ARTICLE{ChWe94,
- author = {W. C. Chew and W. H. Weedon},
- title = {A {3-D} perfectly matched medium from modified {M}axwell's equations
- with stretched coordinates},
- journal = {Microwave Opt. Technol. Lett.},
- year = {1994},
- volume = {7},
- pages = {599--604},
- number = {13}
-}
-
- at ARTICLE{Cho68,
- author = {Alexandre Joel Chorin},
- title = {Numerical solution of the {N}avier-{S}tokes equations},
- journal = {Math. Comput.},
- year = {1968},
- volume = {22},
- pages = {745-762}
-}
-
- at BOOK{Cia89,
- title = {Introduction to Numerical Linear Algebra and Optimisation},
- publisher = {Cambridge University Press},
- year = {1989},
- author = {P. G. Ciarlet},
- series = {Cambridge Texts in Applied Mathematics},
- address = {Cambridge}
-}
-
- at BOOK{pgc,
- title = {The Finite Element Method for Elliptic Problems},
- publisher = {North Holland},
- year = {1978},
- author = {P. G. Ciarlet},
- address = {Amsterdam},
- note = {530 p.}
-}
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- at ARTICLE{ClMeRoLo00,
- author = {Eric Cl\'ev\'ed\'e and Charles M\'egnin and Barabara Romanowicz and
- Philippe Lognonn\'e},
- title = {Seismic waveform modeling and surface wave tomography in a three-dimensional
- {E}arth: asymptotic and non-asymptotic approaches},
- journal = pepi,
- year = {2000},
- volume = {119(1)},
- pages = {37-56}
-}
-
- at ARTICLE{Cla72,
- author = {M. N. Clark},
- title = {Intensity of shaking estimated from displaced stones},
- journal = {U.S. Geol. Surv. Prof. Pap.},
- year = {1972},
- volume = {787},
- pages = {175-182}
-}
-
- at ARTICLE{ClSiYeJaWaBe95,
- author = {T. J. Clarke and P. G. Silver and Y. L. Yeh and D. E. James and T.
- C. Wallace and S. L. Beck},
- title = {Close in {ScS} and {sScS} reverberations from the 9 {J}une 1994 {B}olivian
- earthquake},
- journal = grl,
- year = {1995},
- volume = {22},
- pages = {2313-2316},
- number = {16}
-}
-
- at ARTICLE{ClEn77,
- author = {R. Clayton and B. Engquist},
- title = {Absorbing boundary conditions for acoustic and elastic wave equations},
- journal = bssa,
- year = {1977},
- volume = {67},
- pages = {1529-1540}
-}
-
- at ARTICLE{ClLa95,
- author = {R. H. Clouser and C. A. Langston},
- title = {Modeling observed {$P$-$R_g$} conversions from isolated topographic
- features near the {NORESS} array},
- journal = bssa,
- year = {1995},
- volume = {85},
- pages = {859-873}
-}
-
- at ARTICLE{CoSc95,
- author = {R. T. Coates and M. Schoenberg},
- title = {Finite-difference modelling of faults and fractures},
- journal = geophysics,
- year = {1995},
- volume = {60},
- pages = {1514-1526}
-}
-
- at ARTICLE{CoRi2002,
- author = {M. Cocco and J. R. Rice},
- title = {Pore pressure and poroelasticity effects in {C}oulomb stress analysis
- of earthquake interaction},
- journal = jgr,
- year = {2002},
- volume = {107},
- pages = {2-1 -- 2-17}
-}
-
- at BOOK{Aco92,
- title = {Ondelettes et traitement num\'erique du signal},
- publisher = {Masson},
- year = {1992},
- author = {A. Cohen},
- address = {Paris}
-}
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- at INPROCEEDINGS{Coh88,
- author = {G. Cohen},
- title = {Schemes fourth-order in time and space for 2{D} elastodynamics equations},
- booktitle = {Expanded abstracts of the Soc. Expl. Geophys.},
- year = {1988},
- pages = {1288-1291},
- note = {58th international meeting of the SEG}
-}
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- at ARTICLE{CoFa05,
- author = {G. Cohen and S. Fauqueux},
- title = {Mixed Spectral Finite Elements for the Linear Elasticity System in
- Unbounded Domains},
- journal = {SIAM Journal on Scientific Computing},
- year = {2005},
- volume = {26},
- pages = {864-884},
- number = {3},
- doi = {10.1137/S1064827502407457}
-}
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- at ARTICLE{CoFa00,
- author = {G. Cohen and S. Fauqueux},
- title = {Mixed finite elements with mass lumping for the transient wave equation},
- journal = jca,
- year = {2000},
- volume = {8},
- pages = {171-188},
- number = {1},
- doi = {10.1142/S0218396X0000011X}
-}
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- at ARTICLE{CoJo90,
- author = {G. Cohen and P. Joly},
- title = {Fourth-order schemes for the heterogeneous acoustics equation},
- journal = cmame,
- year = {1990},
- volume = {80},
- pages = {397-407}
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- number = {1},
- doi = {10.1785/0120030077}
-}
-
- at ARTICLE{KoMa07,
- author = {Dimitri Komatitsch and Roland Martin},
- title = {An unsplit convolutional {P}erfectly {M}atched {L}ayer improved at
- grazing incidence for the seismic wave equation},
- journal = geophysics,
- year = {2007},
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- number = {5},
- doi = {10.1190/1.2757586}
-}
-
- at ARTICLE{KoMaTrTaWi01,
- author = {D. Komatitsch and R. Martin and J. Tromp and M. A. Taylor and B.
- A. Wingate},
- title = {Wave propagation in 2-{D} elastic media using a spectral element
- method with triangles and quadrangles},
- journal = jca,
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-}
-
- at ARTICLE{KoRiTr02,
- author = {D. Komatitsch and J. Ritsema and J. Tromp},
- title = {The Spectral-Element Method, {B}eowulf Computing, and Global Seismology},
- journal = {Science},
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-}
-
- at INCOLLECTION{KoTr02c,
- author = {D. Komatitsch and J. Tromp},
- title = {Propagaci{\'o}n de ondas s{\'\i}smicas en modelos de tierra global
- 3-{D} usando elementos espectrales},
- booktitle = {M\'etodos num\'ericos en ingenieria y ciencias aplicadas},
- publisher = {CIMNE},
- year = {2002},
- editor = {{E. O{\~{n}}ate et al.}},
- pages = {676-686},
- address = {Barcelona, Espa{\~{n}}a}
-}
-
- at ARTICLE{KoTr03,
- author = {D. Komatitsch and J. Tromp},
- title = {A {P}erfectly {M}atched {L}ayer absorbing boundary condition for
- the second-order seismic wave equation},
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- doi = {10.1046/j.1365-246X.2003.01950.x}
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- at ARTICLE{KoTr02a,
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- journal = gji,
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- doi = {10.1046/j.1365-246X.2002.01653.x}
-}
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- at ARTICLE{KoTr02b,
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- journal = gji,
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- number = {1},
- doi = {10.1046/j.1365-246X.2002.01716.x}
-}
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- at ARTICLE{KoTr01c,
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- journal = {Proceedings of the ACM/IEEE Supercomputing SC'2001 conference},
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- note = {published on CD-ROM and at www.sc-conference.org/sc2001}
-}
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- at ARTICLE{KoTr01d,
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- at ARTICLE{KoTsChTr03,
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- title = {A 14.6~billion degrees of freedom, 5~teraflops, 2.5~terabyte earthquake
- simulation on the {E}arth~{S}imulator},
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- year = {2003},
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- at INCOLLECTION{KoTsTr05,
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+ author = {Emmanuel Chaljub and C\'ecile Cornou and Philippe Gu\'eguen and Mathieu
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+ title = {Spectral-element modeling of 3{D} wave propagation in the alpine
+ valley of {G}renoble, {F}rance},
+ booktitle = {Geophysical Research Abstracts},
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+ volume = {7, 05225},
+ publisher = {EGU 2nd general assembly, Wien, Austria}
+}
+
+ at INCOLLECTION{ChKoViCaVaFe07,
+ author = {Emmanuel Chaljub and Dimitri Komatitsch and Jean-Pierre Vilotte and
+ Yann Capdeville and Bernard Valette and Gaetano Festa},
+ title = {Spectral Element Analysis in Seismology},
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+ publisher = {Elsevier - Academic Press},
+ year = {2007},
+ editor = {Ru-Shan Wu and Val\'erie Maupin},
+ volume = {48},
+ series = {Advances in Geophysics},
+ pages = {365-419}
+}
+
+ at ARTICLE{ChTa97,
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-}
-
- at MISC{notedegreesfreedom,
- note = {The cost of calculation is due to the fact that the mesh contains
- 498 million degrees of freedom.}
-}
-
- at MISC{notedownlaod,
- note = {We encourage interested research groups to download the SEM software
- package from the `Theoretical and Computational Seismology' webpage
- of the Seismological Laboratory at Caltech ({\tt http://www.gps.caltech.edu/research/jtromp}).}
-}
-
- at MISC{notehonormesh,
- note = {It is important to honor the major discontinuities in the velocity
- model when creating a mesh of the structure, to avoid numerical diffraction
- by a staircase discretization of the complex-shaped interfaces in
- the case of a regular grid.}
-}
-
- at MISC{notePMLnotused,
- note = {More accurate absorbing boundary conditions such as the Perfectly
- Matched Layer (PML)~\cite{CoTs01} could be used instead, but because
- we use a large mesh, simpler paraxial conditions are sufficient.}
-}
-
- at MISC{notesciencevsrho,
- note = {Shear-wave velocity $V_s$ is defined by dividing $V_p$ by a coefficient
- that varies linearly from 1.732 in the deepest part of the basin
- (i.e., Poisson's coefficient of 0.25) to 2 in the shallow sediments
- near the surface(i.e., Poisson's coefficient of 0.33). Based upon
- well-log information, density is defined by $\rho = V_p/3 + 1280$,
- imposing a minimum of 2000~kg.m$^{-3}$ and maximum of 3000~kg.m$^{-3}$.}
-}
-
- at MISC{notesmallevents,
- note = {The SEM is not limited to point sources: a finite size source can
- be used by summing individual contributions from points located along
- the fault plane. To obtain the source mechanism for this event we
- performed a 3D centroid-moment tensor inversion based upon the basin
- model and the SEM. The solution is in excellent agreement with first-motion
- and surface-wave estimates.}
-}
-
- at MISC{notestationcorrection,
- note = {The shear-wave speed ($V_s$) model is based upon a simple scaling
- relation to compressional-wave speed ($V_p)$~\cite{notesciencevsrho}.
- Rather than trying to determine an optimal scaling relation, or an
- independent shear-wave speed model, we choose to use such a simple
- scaling, but allow for deficiencies in the $V_s$ model by introducing
- a station correction. These corrections are generally small, typically
- less than plus or minus one~second}
-}
-
+ year = {2004},
+ volume = {158},
+ pages = {131-141}
+}
+
+ at BOOK{openmp,
+ title = {Parallel Programming in {O}pen{MP}},
+ publisher = {Morgan Kaufmann, Elsevier},
+ year = {2000},
+ author = {Rohit Chandra and Ramesh Menon and Leo Dagum and David Kohr and Dror
+ Maydan and Jeff McDonald},
+ address = {San Francisco, USA}
+}
+
+ at ARTICLE{ChPr92,
+ author = {C. Chapman and R. G. Pratt},
+ title = {Traveltime tomography in anisotropic media -{I}: Theory},
+ journal = gji,
+ year = {1992},
+ volume = {109},
+ pages = {1--19}
+}
+
+ at ARTICLE{ChTr07,
+ author = {Min Chen and Jeroen Tromp},
+ title = {Theoretical and numerical investigations of global and regional seismic
+ wave propagation in weakly anisotropic earth models},
+ journal = gji,
+ year = {2007},
+ volume = {168},
+ pages = {1130-1152},
+ number = {3},
+ doi = {10.1111/j.1365-246X.2006.03218.x}
+}
+
+ at ARTICLE{ChenBabu96,
+ author = {Q. Chen and I. Babu{\v s}ka},
+ title = {The optimal symmetrical points for polynomial interpolation of real
+ functions in the tetrahedron},
+ journal = cmame,
+ year = {1996},
+ volume = {137},
+ pages = {89-94}
+}
+
+ at ARTICLE{ChenBabu95,
+ author = {Q. Chen and I. Babu{\v s}ka},
+ title = {Approximate optimal points for polynomial interpolation of real functions
+ in an interval and in a triangle},
+ journal = cmame,
+ year = {1995},
+ volume = {128},
+ pages = {405-417}
+}
+
+ at INCOLLECTION{Che06,
+ author = {X. Chen},
+ title = {Generation and propagation of seismic {SH} waves in multilayered
+ media with irregular interfaces},
+ booktitle = {Advances in Wave Propagation in Heterogeneous Media},
+ publisher = {Elsevier},
+ year = {2006},
+ editor = {Ru-Shan Wu and Val\'erie Maupin},
+ series = {Advances in Geophysics}
+}
+
+ at ARTICLE{Che06b,
+ author = {S. Chevrot},
+ title = {Finite-frequency vectorial tomography: a new method for high-resolution
+ imaging of upper mantle anisotropy},
+ journal = gji,
+ year = {2006},
+ volume = {165},
+ pages = {641-657},
+ number = {2},
+ doi = {10.1111/j.1365-246X.2006.02982.x}
+}
+
+ at ARTICLE{ChFaKo04,
+ author = {S. Chevrot and N. Favier and D. Komatitsch},
+ title = {Shear wave splitting in three-dimensional anisotropic media},
+ journal = gji,
+ year = {2004},
+ volume = {159},
+ pages = {711-720},
+ number = {2},
+ doi = {10.1111/j.1365-246X.2004.02432.x}
+}
+
+ at ARTICLE{ChLi96,
+ author = {W. C. Chew and Q. Liu},
+ title = {{P}erfectly {M}atched {L}ayers for elastodynamics: a new absorbing
+ boundary condition},
+ journal = jca,
+ year = {1996},
+ volume = {4},
+ pages = {341--359},
+ number = {4}
+}
+
+ at ARTICLE{ChWe94,
+ author = {W. C. Chew and W. H. Weedon},
+ title = {A {3-D} perfectly matched medium from modified {M}axwell's equations
+ with stretched coordinates},
+ journal = {Microwave Opt. Technol. Lett.},
+ year = {1994},
+ volume = {7},
+ pages = {599--604},
+ number = {13}
+}
+
+ at ARTICLE{Cho68,
+ author = {Alexandre Joel Chorin},
+ title = {Numerical solution of the {N}avier-{S}tokes equations},
+ journal = {Math. Comput.},
+ year = {1968},
+ volume = {22},
+ pages = {745-762}
+}
+
+ at BOOK{Cia89,
+ title = {Introduction to Numerical Linear Algebra and Optimisation},
+ publisher = {Cambridge University Press},
+ year = {1989},
+ author = {P. G. Ciarlet},
+ series = {Cambridge Texts in Applied Mathematics},
+ address = {Cambridge}
+}
+
+ at BOOK{pgc,
+ title = {The Finite Element Method for Elliptic Problems},
+ publisher = {North Holland},
+ year = {1978},
+ author = {P. G. Ciarlet},
+ address = {Amsterdam},
+ note = {530 p.}
+}
+
+ at ARTICLE{ClMeRoLo00,
+ author = {Eric Cl\'ev\'ed\'e and Charles M\'egnin and Barabara Romanowicz and
+ Philippe Lognonn\'e},
+ title = {Seismic waveform modeling and surface wave tomography in a three-dimensional
+ {E}arth: asymptotic and non-asymptotic approaches},
+ journal = pepi,
+ year = {2000},
+ volume = {119(1)},
+ pages = {37-56}
+}
+
+ at ARTICLE{Cla72,
+ author = {M. N. Clark},
+ title = {Intensity of shaking estimated from displaced stones},
+ journal = {U.S. Geol. Surv. Prof. Pap.},
+ year = {1972},
+ volume = {787},
+ pages = {175-182}
+}
+
+ at ARTICLE{ClSiYeJaWaBe95,
+ author = {T. J. Clarke and P. G. Silver and Y. L. Yeh and D. E. James and T.
+ C. Wallace and S. L. Beck},
+ title = {Close in {ScS} and {sScS} reverberations from the 9 {J}une 1994 {B}olivian
+ earthquake},
+ journal = grl,
+ year = {1995},
+ volume = {22},
+ pages = {2313-2316},
+ number = {16}
+}
+
+ at ARTICLE{ClEn77,
+ author = {R. Clayton and B. Engquist},
+ title = {Absorbing boundary conditions for acoustic and elastic wave equations},
+ journal = bssa,
+ year = {1977},
+ volume = {67},
+ pages = {1529-1540}
+}
+
+ at ARTICLE{ClLa95,
+ author = {R. H. Clouser and C. A. Langston},
+ title = {Modeling observed {$P$-$R_g$} conversions from isolated topographic
+ features near the {NORESS} array},
+ journal = bssa,
+ year = {1995},
+ volume = {85},
+ pages = {859-873}
+}
+
+ at ARTICLE{CoSc95,
+ author = {R. T. Coates and M. Schoenberg},
+ title = {Finite-difference modelling of faults and fractures},
+ journal = geophysics,
+ year = {1995},
+ volume = {60},
+ pages = {1514-1526}
+}
+
+ at ARTICLE{CoRi2002,
+ author = {M. Cocco and J. R. Rice},
+ title = {Pore pressure and poroelasticity effects in {C}oulomb stress analysis
+ of earthquake interaction},
+ journal = jgr,
+ year = {2002},
+ volume = {107},
+ pages = {2-1 -- 2-17}
+}
+
+ at BOOK{Aco92,
+ title = {Ondelettes et traitement num\'erique du signal},
+ publisher = {Masson},
+ year = {1992},
+ author = {A. Cohen},
+ address = {Paris}
+}
+
+ at INPROCEEDINGS{Coh88,
+ author = {G. Cohen},
+ title = {Schemes fourth-order in time and space for 2{D} elastodynamics equations},
+ booktitle = {Expanded abstracts of the Soc. Expl. Geophys.},
+ year = {1988},
+ pages = {1288-1291},
+ note = {58th international meeting of the SEG}
+}
+
+ at ARTICLE{CoFa05,
+ author = {G. Cohen and S. Fauqueux},
+ title = {Mixed Spectral Finite Elements for the Linear Elasticity System in
+ Unbounded Domains},
+ journal = {SIAM Journal on Scientific Computing},
+ year = {2005},
+ volume = {26},
+ pages = {864-884},
+ number = {3},
+ doi = {10.1137/S1064827502407457}
+}
+
+ at ARTICLE{CoFa00,
+ author = {G. Cohen and S. Fauqueux},
+ title = {Mixed finite elements with mass lumping for the transient wave equation},
+ journal = jca,
+ year = {2000},
+ volume = {8},
+ pages = {171-188},
+ number = {1},
+ doi = {10.1142/S0218396X0000011X}
+}
+
+ at ARTICLE{CoJo90,
+ author = {G. Cohen and P. Joly},
+ title = {Fourth-order schemes for the heterogeneous acoustics equation},
+ journal = cmame,
+ year = {1990},
+ volume = {80},
+ pages = {397-407}
+}
+
+ at ARTICLE{CoJoRoTo01,
+ author = {G. Cohen and P. Joly and J. E. Roberts and N. Tordjman},
+ title = {Higher-Order Triangular Finite Elements with Mass Lumping for the
+ Wave Equation},
+ journal = {SIAM Journal on Numerical Analysis},
+ year = {2001},
+ volume = {38},
+ pages = {2047-2078},
+ number = {6},
+ doi = {10.1137/S0036142997329554}
+}
+
+ at INPROCEEDINGS{CoJoTo93,
+ author = {G. Cohen and P. Joly and N. Tordjman},
+ title = {Construction and analysis of higher-order finite elements with mass
+ lumping for the wave equation},
+ booktitle = {Proceedings of the second international conference on mathematical
+ and numerical aspects of wave propagation},
+ year = {1993},
+ editor = {R. Kleinman},
+ pages = {152-160},
+ publisher = {SIAM, Philadelphia, Pennsylvania, USA}
+}
+
+ at ARTICLE{Col97,
+ author = {F. Collino},
+ title = {{P}erfectly matched absorbing layers for the paraxial equations},
+ journal = jcp,
+ year = {1997},
+ volume = {131},
+ pages = {164-180}
+}
+
+ at ARTICLE{CoMo98a,
+ author = {F. Collino and P. Monk},
+ title = {Optimizing the {P}erfectly {M}atched {L}ayer},
+ journal = cmame,
+ year = {1998},
+ volume = {164},
+ pages = {157-171}
+}
+
+ at ARTICLE{CoMo98b,
+ author = {F. Collino and P. Monk},
+ title = {The {P}erfectly {M}atched {L}ayer in curvilinear coordinates},
+ journal = {SIAM J. Sci. Comput.},
+ year = {1998},
+ volume = {19},
+ pages = {2061--2090},
+ number = {6}
+}
+
+ at ARTICLE{CoTs01,
+ author = {F. Collino and C. Tsogka},
+ title = {Application of the {PML} absorbing layer model to the linear elastodynamic
+ problem in anisotropic heterogeneous media},
+ journal = geophysics,
+ year = {2001},
+ volume = {66},
+ pages = {294-307},
+ number = {1}
+}
+
+ at ARTICLE{cormier1999,
+ author = {V. F. Cormier},
+ title = {Anisotropy of heterogeneity scale lengths in the lower mantle from
+ PKIKP precursors},
+ journal = gji,
+ year = {1999},
+ volume = {136},
+ pages = {373--384}
+}
+
+ at ARTICLE{cornou03b,
+ author = {C\'ecile Cornou and Pierre-Yves Bard and Michel Dietrich},
+ title = {Contribution of Dense Array Analysis to the identification and quantification
+ of basin-edge-induced waves, {P}art {II}: {A}pplication to the {G}renoble
+ basin ({F}rench {A}lps)},
+ journal = bssa,
+ year = {2003},
+ volume = {93},
+ pages = {2624-2648},
+ number = {6}
+}
+
+ at ARTICLE{Corones,
+ author = {Corones, J.},
+ title = {Bremmer Series That Correct Parabolic Approximations},
+ journal = {J. Math. Anal. Appl.},
+ year = {1975},
+ volume = {50},
+ pages = {361-372}
+}
+
+ at ARTICLE{CoFrLe28,
+ author = {R. Courant and K. O. Friedrichs and H. Lewy},
+ title = {\"{U}ber die partiellen {D}ifferenzengleichungen der mathematischen
+ {P}hysik},
+ journal = {Mathematische Annalen},
+ year = {1928},
+ volume = {100},
+ pages = {32-74}
+}
+
+ at ARTICLE{CoIsRe52,
+ author = {R. Courant and E. Isaacson and M. Rees},
+ title = {On the solution of nonlinear hyperbolic differential equations by
+ finite differences},
+ journal = {Communications on Pure and Applied Mathematics},
+ year = {1952},
+ volume = {5},
+ pages = {243-255}
+}
+
+ at ARTICLE{Cow41,
+ author = {T. G. Cowling},
+ title = {The non-radial oscillations of polytropic stars},
+ journal = {Mon. Not. Roy. Astron. Soc.},
+ year = {1941},
+ volume = {101},
+ pages = {369-373}
+}
+
+ at ARTICLE{Cra71,
+ author = {A. Craggs},
+ title = {The transient response of a coupled plate-acoustic system using plate
+ and acoustic finite elements},
+ journal = {J. Sound Vib.},
+ year = {1971},
+ volume = {15},
+ pages = {509-528}
+}
+
+ at ARTICLE{Cra84,
+ author = {S. Crampin},
+ title = {An introduction to wave propagation in anisotropic media},
+ journal = gjras,
+ year = {1984},
+ volume = {76},
+ pages = {17-28}
+}
+
+ at ARTICLE{CrChHi84,
+ author = {S. Crampin and E. M. Chesnokov and R. G. Hipkin},
+ title = {Seismic anisotropy -- the state of the art {II}},
+ journal = gjras,
+ year = {1984},
+ volume = {76},
+ pages = {1-16}
+}
+
+ at ARTICLE{CrPiNoMcTa90,
+ author = {E. Crase and A. Pica and M. Noble and J. McDonald and A. Tarantola},
+ title = {Robust elastic non-linear waveform inversion: application to real
+ data},
+ journal = geophysics,
+ year = {1990},
+ volume = {55},
+ pages = {527-538}
+}
+
+ at INCOLLECTION{CrJeMoPiSe99,
+ author = {P. Cristini and F. Jensen and D. Morisset and J. Piraux and J. P.
+ Sessarego},
+ title = {Experimental benchmarks for numerical propagation models: comparison
+ between numerical results and tank experiments for deep and shallow
+ water environments},
+ booktitle = {Theoretical and Computational Acoustics' 97},
+ publisher = {World Scientific Publisher},
+ year = {1999},
+ editor = {Y H Pao and E C Shang and Y C Teng},
+ pages = {999998-999999}
+}
+
+ at INPROCEEDINGS{CuMc69,
+ author = {E. Cuthill and J. McKee},
+ title = {Reducing the bandwidth of sparse symmetric matrices},
+ booktitle = {Proceedings of the 24th national ACM conference},
+ year = {1969},
+ pages = {157-172},
+ address = {New York, USA},
+ publisher = {ACM Press}
+}
+
+ at ARTICLE{Dab86,
+ author = {M. A. Dablain},
+ title = {The application of high-order differencing to the scalar wave equation},
+ journal = geophysics,
+ year = {1986},
+ volume = {51},
+ pages = {54-66},
+ number = {1}
+}
+
+ at ARTICLE{DaBa02,
+ author = {F. A. Dahlen and A. M. Baig},
+ title = {Fr\'echet kernels for body-wave amplitudes},
+ journal = gji,
+ year = {2002},
+ volume = {150},
+ pages = {440--466}
+}
+
+ at BOOK{DaTr98,
+ title = {Theoretical Global Seismology},
+ publisher = {Princeton University Press},
+ year = {1998},
+ author = {F. A. Dahlen and J. Tromp},
+ address = {Princeton}
+}
+
+ at ARTICLE{Dai95,
+ author = {N. Dai and A. Vafidis and E. R. Kanasevich},
+ title = {Wave propagation in heterogeneous, porous media: {A} velocity-stress,
+ finite-difference method},
+ journal = geophysics,
+ year = {1995},
+ volume = {60},
+ pages = {327-340}
+}
+
+ at ARTICLE{ED99,
+ author = {Danicki, E.},
+ title = {Resonant phenomena in bulk-wave scattering by in-plane periodic cracks},
+ journal = jasa,
+ year = {1999},
+ volume = {105},
+ pages = {84-92},
+ number = {1}
+}
+
+ at ARTICLE{ED96,
+ author = {Danicki, E.},
+ title = {Interfacial waves in an elastic body fractured by periodic cracks},
+ journal = jasa,
+ year = {1996},
+ volume = {100},
+ pages = {2942-2948},
+ number = {5}
+}
+
+ at ARTICLE{Dar03,
+ author = {Darrigrand, E.},
+ title = {Coupling of {F}ast {M}ultipole {M}ethod and {M}icrolocal {D}iscretization
+ for the 3{D} {H}elmholtz {E}quation},
+ journal = jcp,
+ year = {2003},
+ volume = {9999999},
+ pages = {9999998-9999999},
+ note = {in press.}
+}
+
+ at ARTICLE{Dau88,
+ author = {I. Daubechies},
+ title = {Orthonormal bases of supported wavelets},
+ journal = {Communications in Pure and Applied Mathematics},
+ year = {1988},
+ volume = {41},
+ pages = {9999998-9999999},
+ number = {7}
+}
+
+ at ARTICLE{DaWe73,
+ author = {L. L. Davis and L. R. West},
+ title = {Observed effects of topography on ground motion},
+ journal = bssa,
+ year = {1973},
+ volume = {63},
+ pages = {283-298}
+}
+
+ at ARTICLE{DaRuLiGaKn00,
+ author = {P. M. Davis and J. L. Rubinstein and K. H. Liu and S. S. Gao and
+ L. Knopoff},
+ title = {Northridge earthquake damage caused by geologic focusing of seismic
+ waves},
+ journal = {Science},
+ year = {2000},
+ volume = {289},
+ pages = {1746-1750}
+}
+
+ at ARTICLE{DaNaYe89,
+ author = {T. L. Davis and J. Namson and R. F. Yerkes},
+ title = {A cross-section of the {L}os {A}ngeles area: seismically active fold-and-thrust
+ belt, the 1987 {W}hittier {N}arrows Earthquake and earthquake hazard},
+ journal = jgr,
+ year = {1989},
+ volume = {94},
+ pages = {9644-9664}
+}
+
+ at ARTICLE{Day98,
+ author = {S. M. Day},
+ title = {Efficient simulation of constant {{\it Q}} using coarse-grained memory
+ variables},
+ journal = bssa,
+ year = {1998},
+ volume = {88},
+ pages = {1051-1062}
+}
+
+ at ARTICLE{DaBr01,
+ author = {S. M. Day and C. Bradley},
+ title = {Memory-efficient simulation of anelastic wave propagation},
+ journal = bssa,
+ year = {2001},
+ volume = {91},
+ pages = {520-531}
+}
+
+ at ARTICLE{DeSe07,
+ author = {Jon{\'a}s D. {De Basabe} and Mrinal K. Sen},
+ title = {Grid dispersion and stability criteria of some common finite-element
+ methods for acoustic and elastic wave equations},
+ journal = geophysics,
+ year = {2007},
+ volume = {72},
+ pages = {T81-T95},
+ number = {6},
+ doi = {10.1190/1.2785046}
+}
+
+ at BOOK{Boo78,
+ title = {A practical guide to splines},
+ publisher = {Springer-Verlag},
+ year = {1978},
+ author = {C. {De Boor}},
+ volume = {27},
+ series = {Applied Mathematical Sciences},
+ address = {New York}
+}
+
+ at ARTICLE{Deb58,
+ author = {J. C. {De Bremaecker}},
+ title = {Transmission and reflection of {R}ayleigh waves at corners},
+ journal = geophysics,
+ year = {1958},
+ volume = {23},
+ pages = {253-266}
+}
+
+ at ARTICLE{dehoop1,
+ author = {De Hoop, M.V.},
+ title = {Generalization of the {B}remmer coupling series},
+ journal = {J. Math. Phys.},
+ year = {1996},
+ volume = {37},
+ pages = {3246-3282}
+}
+
+ at ARTICLE{dehoop3,
+ author = {De Hoop, M. V. and Le Rousseau, J. H.},
+ title = {Scalar Generalized-Screen Algorithms in Transversely Isotropic Media
+ with a Vertical Symmetry Axis},
+ journal = {Geophysics},
+ year = {2001},
+ volume = {66},
+ pages = {1538-1550},
+ number = {5}
+}
+
+ at ARTICLE{dehoop2,
+ author = {De Hoop, M. V. and Spencer, C. and Burridge, R.},
+ title = {The Resolving Power of Seismic Amplitude Data: An Isotropic Inversion/Migration
+ Approach},
+ journal = geophysics,
+ year = {1999},
+ volume = {64},
+ pages = {852--873}
+}
+
+ at BOOK{Dem91,
+ title = {Analyse num\'erique et \'equations diff\'erentielles},
+ publisher = {Presses Universitaires de Grenoble},
+ year = {1991},
+ author = {Jean-Pierre Demailly},
+ address = {Grenoble}
+}
+
+ at ARTICLE{DePa03,
+ author = {J. X. Dessa and G. Pascal},
+ title = {Combined traveltime and frequency-domain seismic waveform inversion:
+ a case study on multi-offset ultrasonic data},
+ journal = gji,
+ year = {2003},
+ volume = {154},
+ pages = {117-133},
+ number = {1},
+ doi = {10.1046/j.1365-246X.2003.01956.x}
+}
+
+ at BOOK{DeFiMu02,
+ title = {High-Order Methods for Incompressible Fluid Flow},
+ publisher = {Cambridge University Press},
+ year = {2002},
+ author = {M. O. Deville and P. F. Fischer and E. H. Mund},
+ address = {Cambridge, United Kingdom}
+}
+
+ at ARTICLE{DeWitt,
+ author = {DeWitt-Morette, C.},
+ title = {Feynman {P}ath {I}ntegrals : {I}) {L}inear {A}nd {A}ffine {T}echniques,
+ {II}) {T}he {F}eynman-{G}reen function},
+ journal = {Comm. Math. Phys},
+ year = {1974},
+ volume = {37},
+ pages = {63-81}
+}
+
+ at BOOK{DhTo84,
+ title = {The finite element method displayed},
+ publisher = {John Wiley and sons},
+ year = {1984},
+ author = {Gouri Dhatt and Gilbert Touzot},
+ address = {New York}
+}
+
+ at ARTICLE{DiEz07,
+ author = {Julien Diaz and Abdelaaziz Ezziani},
+ title = {A semi-analytical solution for a two-layer non dissipative poroelastic
+ medium},
+ journal = jcp,
+ year = {2007},
+ note = {In preparation.}
+}
+
+ at ARTICLE{DiJo06,
+ author = {J. Diaz and P. Joly},
+ title = {A time-domain analysis of {PML} models in acoustics},
+ journal = cmame,
+ year = {2006},
+ volume = {195},
+ pages = {3820-3853},
+ number = {29-32},
+ doi = {10.1016/j.cma.2005.02.031}
+}
+
+ at ARTICLE{DoShGuMa05,
+ author = {Liangguo Dong and Deping She and Luping Guan and Zaitian Ma},
+ title = {An eigenvalue decomposition method to construct absorbing boundary
+ conditions for acoustic and elastic wave equations},
+ journal = {J. Geophys. Eng.},
+ year = {2005},
+ volume = {2},
+ pages = {192-198},
+ doi = {10.1088/1742-2132/2/3/003}
+}
+
+ at ARTICLE{DoTa95,
+ author = {E. Dormy and A. Tarantola},
+ title = {Numerical simulation of elastic wave propagation using a finite volume
+ method},
+ journal = jgr,
+ year = {1995},
+ volume = {100},
+ pages = {2123-2133}
+}
+
+ at PHDTHESIS{Dou94,
+ author = {Christophe Doursat},
+ title = {Qualit\'es, d\'efauts et am\'eliorations des maillages alg\'ebriques
+ et elliptiques},
+ school = {Universit\'e Paris {\sc VI} Jussieu},
+ year = {1994},
+ address = {Paris}
+}
+
+ at ARTICLE{Dra72,
+ author = {L. A. Drake},
+ title = {Love and {R}ayleigh waves in nonhorizontally layered media},
+ journal = bssa,
+ year = {1972},
+ volume = {62},
+ pages = {1241-1258},
+ number = {5}
+}
+
+ at ARTICLE{DrMo87,
+ author = {M. Dravinski and T. K. Mossessian},
+ title = {Scattering of plane harmonic {{\it P}}, {{\it SV}} and {R}ayleigh
+ waves by dipping layers of arbitrary shape},
+ journal = bssa,
+ year = {1987},
+ volume = {77},
+ pages = {212-235}
+}
+
+ at ARTICLE{DrHe90,
+ author = {D. S. Dreger and D. V. Helmberger},
+ title = {Broadband modeling of local earthquakes},
+ journal = bssa,
+ year = {1990},
+ volume = {80},
+ pages = {1162-1179}
+}
+
+ at ARTICLE{DrGi07a,
+ author = {Francis H. Drossaert and Antonios Giannopoulos},
+ title = {A nonsplit complex frequency-shifted {PML} based on recursive integration
+ for {FDTD} modeling of elastic waves},
+ journal = geophysics,
+ year = {2007},
+ volume = {72},
+ pages = {T9-T17},
+ number = {2},
+ doi = {10.1190/1.2424888}
+}
+
+ at ARTICLE{DrGi07b,
+ author = {F. H. Drossaert and A. Giannopoulos},
+ title = {Complex frequency shifted convolution {PML} for {FDTD} modelling
+ of elastic waves},
+ journal = {Wave Motion},
+ year = {2007},
+ volume = {44},
+ pages = {593-604},
+ number = {7-8},
+ doi = {10.1016/j.wavemoti.2007.03.003}
+}
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+ title = {Spectral methods on triangles and other domains},
+ journal = {J. Sci. Comp.},
+ year = {1993},
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+}
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+ at ARTICLE{Dubosetal2003,
+ author = {N. Dubos and A. Souriau and C. Ponsolles and J. F. Fels and G. S\'en\'echal},
+ title = {{\'E}tude des effets de sites dans la ville de {L}ourdes ({P}yr\'en\'ees,
+ {F}rance) par la m\'ethode des rapports spectraux},
+ journal = {Bull. Soc. G\'eol. Fr.},
+ year = {2003},
+ volume = {174},
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+}
+
+ at ARTICLE{DuKa06,
+ author = {M. Dumbser and M. K\"aser},
+ title = {An arbitrary high-order discontinuous {G}alerkin method for elastic
+ waves on unstructured meshes-{II}. {T}he three-dimensional isotropic
+ case},
+ journal = gji,
+ year = {2006},
+ volume = {167},
+ pages = {319-336},
+ number = {1},
+ doi = {10.1111/j.1365-246X.2006.03120.x}
+}
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+ author = {T. Dupond},
+ title = {A {$L^2$} estimate of {G}alerkin methods for second order hyperbolic
+ equations},
+ journal = {SIAM J. Num. Anal.},
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+}
+
+ at INPROCEEDINGS{DuLaPr,
+ author = {Duquet, B. and Lavaud, B. and Prat, F.},
+ title = {Improving {GSP} Extrapolators},
+ booktitle = {Proceedings of the SEG},
+ year = {2003},
+ note = {submitted.}
+}
+
+ at BOOK{Duv90,
+ title = {M\'ecanique des milieux continus},
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+ year = {1990},
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+ address = {Paris}
+}
+
+ at ARTICLE{dynin98,
+ author = {A. Dynin},
+ title = {A rigorous path integral construction in any dimension},
+ journal = {Letters in Mathematical Physics},
+ year = {1998},
+ volume = {44},
+ pages = {317-330},
+ number = {4}
+}
+
+ at INCOLLECTION{dziewonski:2000,
+ author = {A. M. Dziewonski},
+ title = {Global seismic tomography: past, present, and future},
+ booktitle = {Problems in Geophysics for the New Millennium},
+ publisher = {INGV},
+ year = {2000},
+ editor = {E. Boschi and G. Ekstr\"{o}m and A. Morelli},
+ pages = {289--350},
+ address = {Roma, Italy}
+}
+
+ at ARTICLE{DzAn81,
+ author = {A. M. Dziewonski and D. L. Anderson},
+ title = {Preliminary reference {E}arth model},
+ journal = pepi,
+ year = {1981},
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+
+ at ARTICLE{Ebeetal03,
+ author = {D. Eberhart-Phillips and P. J. Haeussler and J. T. Freymueller and
+ A. D. Frankel and C. M. Rubin and P. Craw and N. A. Ratchkovski and
+ G. Anderson and G. A. Carver and A. J. Crone and T. E. Dawson and
+ H. Fletcher and R. Hansen and E. L. Harp and R. A. Harris and D.
+ P. Hill and S. Hreinsdottir and R. W. Jibson and L. M. Jones and
+ R. Kayen and D. K. Keefer and C. F. Larsen and S. C. Moran and S.
+ F. Personius and G. Plafker and B. Sherrod and K. Sieh and N. Sitar
+ and W. K. Wallace},
+ title = {The 2002 {D}enali Fault Earthquake, {A}laska: a Large Magnitude,
+ Slip-Partitioned Event},
+ journal = {Science},
+ year = {2003},
+ volume = {300},
+ pages = {1113-1118}
+}
+
+ at ARTICLE{EiCl02,
+ author = {L. Eisner and R. W. Clayton},
+ title = {A full waveform test of the southern {C}alifornia velocity model
+ by the reciprocity method},
+ journal = pageoph,
+ year = {2002},
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+ pages = {1691--1706}
+}
+
+ at ARTICLE{Eks95,
+ author = {G. Ekstr\"{o}m},
+ title = {Calculation of static deformation following the {B}olivia earthquake
+ by summation of {E}arth's normal modes},
+ journal = grl,
+ year = {1995},
+ volume = {22},
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+
+ at ARTICLE{EkDz98,
+ author = {G. Ekstr\"{o}m and A. M. Dziewonski},
+ title = {The unique anisotropy of the {P}acific upper mantle},
+ journal = {Nature},
+ year = {1998},
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+}
+
+ at ARTICLE{EmKo87,
+ author = {H. Emmerich and M. Korn},
+ title = {Incorporation of attenuation into time-domain computations of seismic
+ wave fields},
+ journal = geophysics,
+ year = {1987},
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+}
+
+ at ARTICLE{Engdahl98,
+ author = {E. R. Engdahl and R. van der Hilst and R. Buland},
+ title = {Global teleseismic earthquake relocation with improved travel times
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+}
+
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+ - Diff\'erences finies, \'el\'ements finis, probl\`emes en domaine
+ non born\'e},
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+ title = {Ondes dans les milieux poro\'elastiques : analyse du mod\`ele de
+ {B}iot},
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+}
+
+ at PHDTHESIS{Ez2005,
+ author = {A. Ezziani},
+ title = {Modélisation mathématique et numérique de la propagation d'ondes
+ dans des milieux viscoélastiques et poroélastiques},
+ school = {Université Paris IX, France},
+ year = {2005},
+ address = {Paris, France}
+}
+
+ at ARTICLE{FaMaPaQu97,
+ author = {E. Faccioli and F. Maggio and R. Paolucci and A. Quarteroni},
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+ decomposition method},
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+ year = {1996},
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+
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+ author = {G. X. Fan and Q. H. Liu and J. S. Hesthaven},
+ title = {Multidomain pseudospectral time-domain simulations of scattering
+ by objects buried in lossy media},
+ journal = {IEEE Trans. Geosci. Remote Sens.},
+ year = {2002},
+ volume = {GE-40},
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+}
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+ at ARTICLE{farhathararifranca2001,
+ author = {C. Farhat and I. Harari and L. P. Franca},
+ title = {The discontinuous enrichment method},
+ journal = cmame,
+ year = {2001},
+ volume = {190},
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+}
+
+ at ARTICLE{farhathararihetmaniuk20031,
+ author = {C. Farhat and I. Harari and U. Hetmaniuk},
+ title = {A discontinuous {G}alerkin method with {L}agrange multipliers for
+ the solution of {H}elmholtz problems in the mid-frequency regime},
+ journal = cmame,
+ year = {2003},
+ volume = {192},
+ pages = {1389-1419}
+}
+
+ at ARTICLE{farhathararihetmaniuk20032,
+ author = {C. Farhat and I. Harari and U. Hetmaniuk},
+ title = {The discontinuous enrichment method for multiscale analysis},
+ journal = cmame,
+ year = {2003},
+ volume = {192},
+ pages = {3195-3209}
+}
+
+ at TECHREPORT{Far87,
+ author = {C. H. Farhat},
+ title = {A simple and efficient automatic {FEM} domain decomposer},
+ institution = {University of Colorado},
+ year = {1987},
+ address = {Boulder, Colorado}
+}
+
+ at ARTICLE{farra99,
+ author = {Farra, V.},
+ title = {Computation of second-order travel-time perturbation by {H}amiltonian
+ ray theory},
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+ year = {1999},
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+ at ARTICLE{farra93,
+ author = {Farra, V.},
+ title = {Ray tracing in complex media},
+ journal = {J. Appl. Geophys.},
+ year = {1993},
+ volume = {30},
+ pages = {55-73}
+}
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+ at ARTICLE{Far90,
+ author = {V. Farra},
+ title = {Amplitude computation in heterogeneous media by ray perturbation
+ theory: a finite element approach},
+ journal = gji,
+ year = {1990},
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+}
+
+ at ARTICLE{FaCh03,
+ author = {N. Favier and S. Chevrot},
+ title = {Sensitivity kernels for shear wave splitting in transverse isotropic
+ media},
+ journal = gji,
+ year = {2003},
+ volume = {153},
+ pages = {213--228},
+ number = {1}
+}
+
+ at ARTICLE{FaChKo04,
+ author = {N. Favier and S. Chevrot and D. Komatitsch},
+ title = {Near-field influences on shear wave splitting and traveltime sensitivity
+ kernels},
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+ year = {2004},
+ volume = {156},
+ pages = {467-482},
+ number = {3},
+ doi = {10.1111/j.1365-246X.2004.02178.x}
+}
+
+ at ARTICLE{gp03,
+ author = {Favretto-Cristini, N. and de Bazelaire, E.},
+ title = {P{P} amplitude bias caused by interface scattering: are diffracted
+ waves guilty?},
+ journal = {Geophysical Prospecting},
+ year = {2003},
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+ pages = {99-115}
+}
+
+ at ARTICLE{Fejer32,
+ author = {L. Fej\'er},
+ title = {Bestimmung derjenigen {A}bszissen eines {I}ntervalles f\"ur welche
+ die {Q}uadratsumme der {G}rundfunktionen der {L}agrangeschen {I}nterpolation
+ im {I}ntervalle $[-1,1]$ ein m\"oglichst kleines {M}aximum besitzt},
+ journal = {Ann. Scuola Norm. Sup. Pisa Sci. Fis. Mt. Ser. II},
+ year = {1932},
+ volume = {1},
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+}
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+ at ARTICLE{FeDe84,
+ author = {C. A. Felippa and J. A. Deruntz},
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+ journal = cmame,
+ year = {1984},
+ volume = {44},
+ pages = {297-337}
+}
+
+ at ARTICLE{Felsen,
+ author = {Felsen, L. B.},
+ title = {Geometrical Theory of Diffraction, Evanescent Waves, Complex Rays
+ and {G}aussian Beams},
+ journal = gjras,
+ year = {1984},
+ volume = {79},
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+}
+
+ at ARTICLE{FeBo06,
+ author = {Clark H. Fenton and Julian J. Bommer},
+ title = {The {M}w7 {M}achaze, {M}ozambique, Earthquake of 23 {F}ebruary 2006},
+ journal = {Seismological Research Letters},
+ year = {2006},
+ volume = {77},
+ pages = {426-439},
+ number = {4}
+}
+
+ at ARTICLE{FeDeVi05,
+ author = {G. Festa and E. Delavaud and J. P. Vilotte},
+ title = {Interaction between surface waves and absorbing boundaries for wave
+ propagation in geological basins: {2D} numerical simulations},
+ journal = grl,
+ year = {2005},
+ volume = {32},
+ pages = {L20306},
+ number = {20},
+ doi = {10.1029/2005GL024091}
+}
+
+ at ARTICLE{FeNi03,
+ author = {Gaetano Festa and Stefan Nielsen},
+ title = {{PML} absorbing boundaries},
+ journal = bssa,
+ year = {2003},
+ volume = {93},
+ pages = {891-903}
+}
+
+ at ARTICLE{FeVi05,
+ author = {G. Festa and J. P. Vilotte},
+ title = {The {N}ewmark scheme as velocity-stress time-staggering: an efficient
+ {PML} implementation for spectral-element simulations of elastodynamics},
+ journal = gji,
+ year = {2005},
+ volume = {161},
+ pages = {789-812},
+ doi = {10.1111/j.1365-246X.2005.02601.x}
+}
+
+ at ARTICLE{fink99,
+ author = {M. Fink},
+ title = {Time-reversed acoutics},
+ journal = {Scientific American},
+ year = {1999},
+ pages = {91-97},
+ month = {November}
+}
+
+ at ARTICLE{Fis90,
+ author = {P. F. Fischer},
+ title = {Analysis and application of a parallel spectral element method for
+ the solution of the {N}avier-{S}tokes equations},
+ journal = cmame,
+ year = {1990},
+ volume = {80},
+ pages = {483-491}
+}
+
+ at PHDTHESIS{Fis89,
+ author = {P. F. Fischer},
+ title = {Spectral element solution of the {N}avier-{S}tokes equations on high
+ performance distributed-memory parallel processors},
+ school = {Massachusetts Institute of Technology},
+ year = {1989},
+ address = {Cambridge, Massachusetts}
+}
+
+ at ARTICLE{FiHoKaRoPa88,
+ author = {P. F. Fischer and L. W. Ho and G. E. Karniadakis and E. M. R{\o}nquist
+ and A. T. Patera},
+ title = {Recent advances in parallel spectral element simulation of unsteady
+ incompressible flows},
+ journal = {Computers and Structures},
+ year = {1988},
+ volume = {30},
+ pages = {217-231}
+}
+
+ at ARTICLE{FiRo94,
+ author = {P. F. Fischer and E. M. R{\o}nquist},
+ title = {{S}pectral-element Methods for Large Scale Parallel {N}avier-{S}tokes
+ Calculations},
+ journal = cmame,
+ year = {1994},
+ volume = {116},
+ pages = {69-76}
+}
+
+ at ARTICLE{Fish3,
+ author = {Fishman, L.},
+ title = {Applications of {D}irectional {W}avefield {D}ecomposition, {P}hase
+ {S}pace and {P}ath {I}ntegral {M}ethods to {S}eismic {W}ave {P}ropagation
+ and {I}nversion},
+ journal = {Pure and Applied Geophysics},
+ year = {2002},
+ volume = {159},
+ pages = {1637-1679}
+}
+
+ at ARTICLE{Fish1,
+ author = {Fishman, L.},
+ title = {Exact and {O}perator {R}ational {A}pproximate {S}olutions of the
+ {H}elmholtz, {W}eyl {C}omposition {E}quation in {U}nderwater {A}coustics
+ - the {Q}uadratic {P}rofile},
+ journal = {J. Math. Phys.},
+ year = {1992},
+ volume = {33},
+ pages = {1887--1914}
+}
+
+ at ARTICLE{Fish2,
+ author = {Fishman, L. and McCoy, J. J. and Wales, S. C.},
+ title = {Factorization and {P}ath {I}ntegration of the {H}elmholtz {E}quation
+ : {N}umerical {A}lgorithms},
+ journal = {J. Acoust. Soc. Am.},
+ year = {1987},
+ volume = {81},
+ pages = {1355-1376}
+}
+
+ at BOOK{Fle91,
+ title = {Computational Fluid Dynamics},
+ publisher = {Springer-Verlag},
+ year = {1991},
+ author = {C. A. J. Fletcher},
+ address = {New York}
+}
+
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+ author = {T. A. Foley},
+ title = {Weighted bicubic spline interpolation to rapidly varying data},
+ journal = {ACM Trans. Graphics},
+ year = {1987},
+ volume = {6},
+ pages = {1-18}
+}
+
+ at PHDTHESIS{Fon06,
+ author = {Mathieu Fontes},
+ title = {Propri\'et\'es math\'ematiques de mod\`eles g\'eophysiques pour l'absorption
+ des ondes. {A}pplication aux conditions de bords absorbants. ({M}athematical
+ properties of geophysical models for the absorption of waves. {A}pplication
+ to absorbing boundary conditions)},
+ school = {Universit\'e de Pau et des Pays de l'Adour},
+ year = {2006},
+ address = {Pau, France},
+ month = {July}
+}
+
+ at ARTICLE{For88,
+ author = {B. Fornberg},
+ title = {The pseudospectral method: accurate representation of interfaces
+ in elastic wave calculations},
+ journal = geophysics,
+ year = {1988},
+ volume = {53},
+ pages = {625-637}
+}
+
+ at ARTICLE{For75,
+ author = {D. W. Forsyth},
+ title = {The early structural evolution and anisotropy of the oceanic upper
+ mantle},
+ journal = gjras,
+ year = {1975},
+ volume = {43},
+ pages = {103-162}
+}
+
+ at ARTICLE{rf,
+ author = {R. Franke},
+ title = {Thin plate spline with tension},
+ journal = {Computer Aided Geometric Design},
+ year = {1985},
+ volume = {2},
+ pages = {87-95}
+}
+
+ at ARTICLE{Fra93,
+ author = {A. Frankel},
+ title = {Three-dimensional simulations of ground motions in the {S}an {B}ernardino
+ valley, {C}alifornia, for hypothetical earthquakes on the {S}an {A}ndreas
+ fault},
+ journal = bssa,
+ year = {1993},
+ volume = {83},
+ pages = {1020-1041}
+}
+
+ at ARTICLE{FrLe92,
+ author = {A. Frankel and W. Leith},
+ title = {Evaluation of topographic effects on {{\it P}} and {{\it S}} waves
+ of explosions at the northern {N}ovaya {Z}emlya test site using 3-{D}
+ numerical simulations},
+ journal = grl,
+ year = {1992},
+ volume = {19},
+ pages = {1887-1890}
+}
+
+ at ARTICLE{FrVi92,
+ author = {A. Frankel and J. Vidale},
+ title = {A three-dimensional simulation of seismic waves in the {S}anta {C}lara
+ valley, {C}alifornia, from the {L}oma {P}rieta aftershock},
+ journal = bssa,
+ year = {1992},
+ volume = {82},
+ pages = {2045-2074}
+}
+
+ at ARTICLE{fuchsmuller1971,
+ author = {K. Fuchs and G. Muller},
+ title = {Computation of synthetic seismograms with the reflectivity method
+ and comparison of observations},
+ journal = gjras,
+ year = {1971},
+ volume = {23},
+ pages = {417--433}
+}
+
+ at ARTICLE{Fuisetal2003,
+ author = {G. S. Fuis and R. W. Clayton and P. M. Davis and T. Ryberg and W.
+ J. Lutter and D. A. Okaya and E. Hauksson and C. Prodehl and J. M.
+ Murphy and M. L. Benthien and S. A. Baher and M. D. Kohler and K.
+ Thygesen and G. Simila and G. R. Keller},
+ title = {Fault systems of the 1971 {S}an {F}ernando and 1994 {N}orthridge
+ earthquakes, {S}outhern {C}alifornia: relocated aftershocks and seismic
+ images from {LARSE~II}},
+ journal = {Geology},
+ year = {2003},
+ volume = {31},
+ pages = {171-174}
+}
+
+ at BOOK{Fun92,
+ title = {Polynomial approximation of differential equations},
+ publisher = {Springer Verlag},
+ year = {1992},
+ author = {D. Funaro},
+ volume = {8},
+ series = {Lecture Notes in Physics},
+ address = {Heidelberg, Germany}
+}
+
+ at ARTICLE{FuKeFu99,
+ author = {M. Furumura and B. L. N. Kennett and T. Furumura},
+ title = {Seismic wavefield calculation for laterally heterogeneous {E}arth
+ models--{II}. The influence of upper mantle heterogeneity},
+ journal = gji,
+ year = {1999},
+ volume = {139},
+ pages = {623-644},
+ number = {3},
+ doi = {10.1046/j.1365-246x.1999.00962.x}
+}
+
+ at ARTICLE{FuKeFu98,
+ author = {T. Furumura and B. L. N. Kennett and M. Furumura},
+ title = {Seismic wavefield calculation for laterally heterogeneous whole {E}arth
+ models using the pseudospectral method},
+ journal = gji,
+ year = {1998},
+ volume = {135},
+ pages = {845-860},
+ number = {3},
+ doi = {10.1046/j.1365-246X.1998.00682.x}
+}
+
+ at ARTICLE{GeBaJu88,
+ author = {L. G\'eli and P. Y. Bard and B. Julien},
+ title = {The effect of topography on earthquake ground motion: a review and
+ new results},
+ journal = bssa,
+ year = {1988},
+ volume = {78},
+ pages = {42-63}
+}
+
+ at ARTICLE{GaBo89,
+ author = {S. Gaffet and M. Bouchon},
+ title = {Effects of two-dimensional topographies using the discrete wavenumber-boundary
+ integral equation method in {{\it P-SV}} cases},
+ journal = jasa,
+ year = {1989},
+ volume = {85},
+ pages = {2277-2283}
+}
+
+ at TECHREPORT{GaMaNaHelene,
+ author = {Gander, M. J. and Magoul\`es, F. and Nataf, F.},
+ title = {Optimized {S}chwarz method without overlap for the {H}elmholtz equation},
+ institution = {CMAP, UMR CNRS 67641},
+ year = {2001}
+}
+
+ at ARTICLE{sympl2,
+ author = {Gao, L. and Li, Y.-M. and Chen, X.-R. and Yang, K.-Q.},
+ title = {An attempt to seismic ray tracing with symplectic algorithm},
+ journal = {Chinese J. Geophys.},
+ year = {2000},
+ volume = {43},
+ pages = {433-440},
+ number = {3}
+}
+
+ at ARTICLE{GaLiDaKn96,
+ author = {S. Gao and H. Liu and P. M. Davis and L. Knopoff},
+ title = {Localized amplification of seismic waves and correlation with damage
+ due to the {N}orthridge earthquake: evidence for focusing in {S}anta
+ {M}onica},
+ journal = bssa,
+ year = {1996},
+ volume = {86},
+ pages = {S209-S230},
+ number = {1B}
+}
+
+ at ARTICLE{geofem01,
+ author = {Kazuteru Garatani and Hisashi Nakamura and Hiroshi Okuda and Genki
+ Yagawa},
+ title = {Geo{FEM}: a High Performance Parallel finite element method for the
+ Solid {E}arth},
+ journal = {J. Future Generation Computer Systems},
+ year = {2001},
+ volume = {18},
+ pages = {107--114}
+}
+
+ at ARTICLE{geofem00,
+ author = {Kazuteru Garatani and Hisashi Nakamura and Hiroshi Okuda and Genki
+ Yagawa},
+ title = {Large-Scale Parallel Wave Propagation Analysis by {G}eo{FEM}},
+ journal = {Lecture Notes in Computer Science},
+ year = {2000},
+ volume = {1823},
+ pages = {445--453}
+}
+
+ at ARTICLE{Gar02,
+ author = {R. Garcia},
+ title = {Constraints on upper inner core structure by waveform inversion of
+ core phases},
+ journal = gji,
+ year = {2002},
+ volume = {150},
+ pages = {651-664}
+}
+
+ at ARTICLE{GaChWe04,
+ author = {R. Garcia and S. Chevrot and M. Weber},
+ title = {Non-linear waveform and delay time analysis of triplicated core phases},
+ journal = jgr,
+ year = {2004},
+ volume = {109},
+ pages = {B01306},
+ doi = {10.1029/2003JB002429}
+}
+
+ at ARTICLE{GaSo00,
+ author = {R. Garcia and A. Souriau},
+ title = {Inner core anisotropy and heterogeneity level},
+ journal = grl,
+ year = {2000},
+ volume = {27},
+ pages = {3121-3125}
+}
+
+ at ARTICLE{GaLa97,
+ author = {E. Garnero and T. Lay},
+ title = {Lateral variations in lowermost mantle shear wave anisotropy beneath
+ the north {P}acific and {A}laska},
+ journal = {J. Geophys. Res.},
+ year = {1997},
+ volume = {102},
+ pages = {8121-8135}
+}
+
+ at ARTICLE{garnero2000,
+ author = {E. J. Garnero},
+ title = {Heterogeneity of the lowermost mantle},
+ journal = {Annual Review of Earth and Planetary Sciences},
+ year = {2000},
+ volume = {33},
+ pages = {1--66}
+}
+
+ at ARTICLE{Gar56,
+ author = {W. W. Garvin},
+ title = {Exact transient solution of the buried line source problem},
+ journal = {Proc. R. Soc. London Ser. A},
+ year = {1956},
+ volume = {234},
+ pages = {528-541}
+}
+
+ at ARTICLE{GoViTa86,
+ author = {O. Gauthier and J. Virieux and A. Tarantola},
+ title = {Two-dimensional non-linear inversion of seismic waveforms: numerical
+ results},
+ journal = geophysics,
+ year = {1986},
+ volume = {51},
+ pages = {1387-1403}
+}
+
+ at ARTICLE{Gaz81,
+ author = {J. Gazdag},
+ title = {Modeling of the acoustic wave equation with transform methods},
+ journal = geophysics,
+ year = {1981},
+ volume = {46},
+ pages = {854-859}
+}
+
+ at INCOLLECTION{Ged98,
+ author = {S. D. Gedney},
+ title = {The {P}erfectly {M}atched {L}ayer absorbing medium},
+ booktitle = {Advances in Computational Electrodynamics: the Finite-Difference
+ Time-Domain method},
+ publisher = {Artech House},
+ year = {1998},
+ editor = {A. Taflove},
+ chapter = {5},
+ pages = {263--343},
+ address = {Boston}
+}
+
+ at ARTICLE{Ged96,
+ author = {S. D. Gedney},
+ title = {An anisotropic perfectly matched layer-absorbing medium for the truncation
+ of {FDTD} lattices},
+ journal = {IEEE Transactions on Antennas and Propagation},
+ year = {1996},
+ volume = {44},
+ pages = {1630-1639},
+ number = {12},
+ doi = {10.1109/8.546249}
+}
+
+ at ARTICLE{GeOh94,
+ author = {R. J. Geller and T. Ohminato},
+ title = {Computation of synthetic seismograms and their partial derivatives
+ for heterogeneous media with arbitrary natural boundary conditions
+ using the {D}irect {S}olution {M}ethod},
+ journal = gji,
+ year = {1994},
+ volume = {116},
+ pages = {421-446}
+}
+
+ at BOOK{GeMu94,
+ title = {Introduction \`a la m\'ecanique des milieux continus},
+ publisher = {Masson},
+ year = {1994},
+ author = {P. Germain and P. Muller},
+ address = {Paris},
+ edition = {2nd}
+}
+
+ at ARTICLE{gilbert1970,
+ author = {F. Gilbert},
+ title = {Excitation of the normal modes of the {E}arth by earthquake sources},
+ journal = gjras,
+ year = {1970},
+ volume = {22},
+ pages = {223--226}
+}
+
+ at ARTICLE{gilbertdziewonski1975,
+ author = {F. Gilbert and A. M. Dziewonski},
+ title = {An Application of Normal Mode Theory to the Retrieval of Structural
+ Parameters and Source Mechanisms from Seismic Spectra},
+ journal = {Philos. Trans. R. Soc. London A},
+ year = {1975},
+ volume = {278},
+ pages = {187--269}
+}
+
+ at ARTICLE{gilberthelmberger1972,
+ author = {F. Gilbert and D. V. Helmberger},
+ title = {Generalized ray theory for a layered sphere},
+ journal = gjras,
+ year = {1972},
+ volume = {27},
+ pages = {57--80}
+}
+
+ at ARTICLE{GiKn61,
+ author = {F. Gilbert and L. Knopoff},
+ title = {The directivity problem of a burried line source},
+ journal = geophysics,
+ year = {1961},
+ volume = {26},
+ pages = {626-634}
+}
+
+ at ARTICLE{GiKn60,
+ author = {F. Gilbert and L. Knopoff},
+ title = {Seismic scattering from topographic irregularities},
+ journal = jgr,
+ year = {1960},
+ volume = {65},
+ pages = {3437-3444}
+}
+
+ at ARTICLE{GiLa62,
+ author = {F. Gilbert and S. J. Laster},
+ title = {Excitation and propagation of pulses on an interface},
+ journal = bssa,
+ year = {1962},
+ volume = {52},
+ pages = {299-319}
+}
+
+ at ARTICLE{gillmandjellouliamara2006,
+ author = {A. Gillman and R. Djellouli and M. Amara},
+ title = {A Mixed Hybrid Formulation Based on Oscillated Finite Element Polynomials
+ for Solving {H}elmholtz Problems},
+ journal = {Journal of Computational and Applied Mathematics},
+ year = {2006},
+ note = {Accepted in February 2006}
+}
+
+ at ARTICLE{GiWa05,
+ author = {F.X. Giraldoa and T. Warburton},
+ title = {A nodal triangle-based spectral element method for the shallow water
+ equations on the sphere},
+ journal = jcp,
+ year = {2005},
+ volume = {207},
+ pages = {129-150},
+ number = {1},
+ doi = {10.1016/j.jcp.2005.01.004}
+}
+
+ at ARTICLE{GiLaSy06,
+ author = {L. Giraud and J. Langou and G. Sylvand},
+ title = {On The Parallel Solution Of Large Industrial Wave Propagation Problems},
+ journal = jca,
+ year = {2006},
+ volume = {14},
+ pages = {83–111},
+ number = {1}
+}
+
+ at BOOK{Giv92,
+ title = {Numerical Methods for Problems in Infinite Domains},
+ publisher = {Elsevier Science Publishers},
+ year = {1992},
+ author = {Dan Givoli},
+ address = {Amsterdam, The Netherlands}
+}
+
+ at ARTICLE{Giv91,
+ author = {D. Givoli},
+ title = {Non-reflecting boundary conditions: review article},
+ journal = jcp,
+ year = {1991},
+ volume = {94},
+ pages = {1-29}
+}
+
+ at INCOLLECTION{GiKe94,
+ author = {D. Givoli and J. B. Keller},
+ title = {Non-reflecting finite elements},
+ booktitle = {The mathematics of finite elements and applications},
+ publisher = {John Wiley and sons},
+ year = {1994},
+ address = {New York}
+}
+
+ at ARTICLE{GiKe90,
+ author = {D. Givoli and J. B. Keller},
+ title = {Non-reflecting boundary conditions for elastic waves},
+ journal = {Wave motion},
+ year = {1990},
+ volume = {12},
+ pages = {261-279}
+}
+
+ at ARTICLE{GNHelene,
+ author = {D. Givoli and B. Neta},
+ title = {High-order non-reflecting boundary scheme for time-dependent waves},
+ journal = {J. Comput. Phys.},
+ year = {2003},
+ volume = {186},
+ pages = {24--46}
+}
+
+ at ARTICLE{GiVi93,
+ author = {D. Givoli and S. Vidgergauz},
+ title = {Artificial boundary conditions for 2{D} problems in geophysics},
+ journal = cmame,
+ year = {1993},
+ volume = {110},
+ pages = {87-101}
+}
+
+ at INPROCEEDINGS{GlLaRaTe90,
+ author = {R. Glowinski and W. Lawton and M. Ravachol and E. Tenebaum},
+ title = {Wavelet solution of linear and nonlinear elliptic, parabolic and
+ hyperbolic problems in one space dimension},
+ booktitle = {Proceedings of the 9th International Conference on Numerical Methods
+ in Applied Sciences and Engineering},
+ year = {1990},
+ address = {SIAM, Philadelphia}
+}
+
+ at INPROCEEDINGS{GoHa72,
+ author = {W. J. Gordon and C. A. Hall},
+ title = {Geometric aspects of the finite element method},
+ booktitle = {Mathematical Foundations of the Finite Element Method with Applications
+ to Partial Differential Equations},
+ year = {1972},
+ editor = {A. K. Aziz},
+ pages = {769-784},
+ address = {New York, USA},
+ publisher = {Academic Press}
+}
+
+ at ARTICLE{Got81,
+ author = {D. Gottlieb},
+ title = {The stability of pseudospectral {C}hebyshev methods},
+ journal = {Math. Comp.},
+ year = {1981},
+ volume = {36},
+ pages = {107-118}
+}
+
+ at INCOLLECTION{cgnash,
+ author = {C. Gout},
+ title = {Approximation using scale transformations},
+ booktitle = {Approximation Theory {IX}},
+ publisher = {Vanderbilt University Press},
+ year = {1999},
+ editor = {C. K. Chui and L. L. Schumaker},
+ volume = {1},
+ pages = {151-158},
+ address = {Nashville}
+}
+
+ at TECHREPORT{cg1001,
+ author = {C. Gout},
+ title = {Approximation of curves and surfaces from rapidly varying data},
+ institution = {Center for Pure and Applied Mathematics},
+ year = {1998},
+ number = {1001},
+ address = {University of California at Berkeley, USA},
+ note = {36 p.}
+}
+
+ at PHDTHESIS{cgthesis,
+ author = {C. Gout},
+ title = {Etude de changements d'\'echelle en approximation -- ajustement spline
+ sur des morceaux de surfaces},
+ school = {Universit\'e de Pau et des Pays de l'Adour},
+ year = {1997},
+ address = {Pau, France},
+ note = {203 p.}
+}
+
+ at ARTICLE{GoKo00,
+ author = {C. Gout and D. Komatitsch},
+ title = {Surface fitting of rapidly varying data using rank coding: application
+ to geophysical surfaces},
+ journal = {Math. Geol.},
+ year = {2000},
+ volume = {32},
+ pages = {873--888},
+ number = {7},
+ doi = {10.1023/A:1007500624487}
+}
+
+ at TECHREPORT{GoLeGuVe05,
+ author = {Gout, C. and Le Guyader, C. and Vese, L.},
+ title = {Image segmentation under interpolation conditions},
+ institution = {Univ. of California, Los Angeles},
+ year = {2005},
+ note = {CAM 03-44, in press}
+}
+
+ at ARTICLE{GoVi03,
+ author = {Gout, C. and Vieira-Test\'e, S.},
+ title = {An algorithm for segmentation under interpolation conditions using
+ deformable models},
+ journal = {Int. J. Comput. Math.},
+ year = {2003},
+ volume = {80},
+ pages = {47-54},
+ number = {1}
+}
+
+ at INCOLLECTION{Gra99,
+ author = {R. W. Graves},
+ title = {Three-dimensional computer simulations of realistic earthquake ground
+ motions in regions of deep sedimentary basin},
+ booktitle = {The Effects of Surface Geology on Seismic Motion},
+ publisher = {Balkema},
+ year = {1999},
+ editor = {K. Irikura and K. Kudo and H. Okada and T. Sasatani},
+ volume = {1},
+ pages = {103--120},
+ address = {Rotterdam, The Netherlands}
+}
+
+ at ARTICLE{Gra96,
+ author = {R. W. Graves},
+ title = {Simulating seismic wave propagation in 3{D} elastic media using staggered-grid
+ finite differences},
+ journal = bssa,
+ year = {1996},
+ volume = {86},
+ pages = {1091-1106},
+ number = {4}
+}
+
+ at INPROCEEDINGS{Gra96b,
+ author = {R. W. Graves},
+ title = {Simulating realistic earthquake ground motions in regions of deep
+ sedimentary basins},
+ booktitle = {Proceedings of the 11th World Conference on Earthquake Engineering},
+ year = {1996},
+ address = {Acapulco, Mexico}
+}
+
+ at ARTICLE{GrDa03,
+ author = {R. W. Graves and S. M. Day},
+ title = {Stability and accuracy of coarse-grain viscoelastic simulations},
+ journal = bssa,
+ year = {2003},
+ volume = {93},
+ pages = {283-300}
+}
+
+ at ARTICLE{GrBo79,
+ author = {D. W. Griffiths and G. A. Bollinger},
+ title = {The effect of {A}ppalachian mountain topography on seismic waves},
+ journal = bssa,
+ year = {1979},
+ volume = {69},
+ pages = {1081-1105}
+}
+
+ at ARTICLE{GrLuDoSk96,
+ author = {W. Gropp and E. Lusk and N. Doss and A. Skjellum},
+ title = {A high-performance, portable implementation of the {MPI} message
+ passing interface standard},
+ journal = {Parallel Computing},
+ year = {1996},
+ volume = {22},
+ pages = {789--828},
+ number = {6}
+}
+
+ at BOOK{GrLuSk94,
+ title = {Using {MPI}, portable parallel programming with the {M}essage-{P}assing
+ {I}nterface},
+ publisher = {MIT Press},
+ year = {1994},
+ author = {W. Gropp and E. Lusk and A. Skjellum},
+ address = {Cambridge, USA}
+}
+
+ at ARTICLE{Gro00,
+ author = {M. J. Grote},
+ title = {Nonreflecting boundary conditions for elastodynamics scattering},
+ journal = jcp,
+ year = {2000},
+ volume = {161},
+ pages = {331--353}
+}
+
+ at ARTICLE{GuLi06,
+ author = {Murthy N. Guddati and Keng Wit Lim},
+ title = {Continued fraction absorbing boundary conditions for convex polygonal
+ domains},
+ journal = ijnme,
+ year = {2006},
+ volume = {66},
+ pages = {949-977},
+ number = {6},
+ doi = {10.1002/nme.1574}
+}
+
+ at ARTICLE{GuBa86b,
+ author = {W. Gui and I. Babu\u{s}ka},
+ title = {The {\it h}, {\it p} and {\it h-p} versions of the finite element
+ method in one dimension},
+ journal = {Numer. Math.},
+ year = {1986},
+ volume = {49},
+ pages = {577-683}
+}
+
+ at ARTICLE{GuBa86a,
+ author = {B. Guo and I. Babu\u{s}ka},
+ title = {The {\it h-p} version of the finite element method},
+ journal = {Comput. Mech.},
+ year = {1986},
+ volume = {1},
+ pages = {21-41}
+}
+
+ at ARTICLE{barucqduquetprat2006,
+ author = {H. Barucq, B. Duquet and F. Prat},
+ title = {True-amplitude one way propagation in heterogeneous media},
+ journal = {J. of Scientific Computing},
+ year = {2006},
+ note = {Submitted, available at http://lma.univ-pau.fr/publis/publis\_pre.php}
+}
+
+ at ARTICLE{Hor2,
+ author = {H\o{}rmander, L.},
+ title = {Pseudo-differentail {O}perators and {N}on {E}lliptic {B}oundary {P}roblems},
+ journal = {Ann. of Math.},
+ year = {1966},
+ volume = {83},
+ pages = {129-209}
+}
+
+ at ARTICLE{Hor1,
+ author = {H\o{}rmander, L.},
+ title = {Pseudo-differentail {O}perators},
+ journal = {Comm. Pure Appl. Math.},
+ year = {1965},
+ volume = {18},
+ pages = {501--517}
+}
+
+ at BOOKLET{Haa09,
+ title = {Zur Theorie der orthogonalen Funktionensysteme},
+ author = {A. Haar},
+ address = {G\"ottingen},
+ year = {1909}
+}
+
+ at ARTICLE{HaKa77,
+ author = {D. Hadley and H. Kanamori},
+ title = {Seismic structure of the {T}ransverse {R}anges, {C}alifornia},
+ journal = {Geol. Soc. Am. Bull.},
+ year = {1977},
+ volume = {88},
+ pages = {1469-1478}
+}
+
+ at INPROCEEDINGS{Hag03,
+ author = {T. Hagstrom},
+ title = {Perfectly matched layers for hyperbolic systems with applications
+ to the linearized {E}uler equations},
+ booktitle = {Mathematical and Numerical Aspects of Wave Propagation: Waves 2003},
+ year = {2003},
+ editor = {Gary Cohen and Erkki Heikkola and Patrick Joly and Pekka Neittaanm\"aki},
+ series = {Proceedings of the Sixth International Conference on Mathematical
+ and Numerical Aspects of Wave Propagation},
+ pages = {125-129},
+ address = {Jyv\"askyl\"a, Finland},
+ publisher = {Springer-Verlag}
+}
+
+ at ARTICLE{Ha99,
+ author = {T. Hagstrom},
+ title = {Radiation boundary conditions for the numerical simulation of waves},
+ journal = {Acta Numer.},
+ year = {1999},
+ volume = {8},
+ pages = {47-106}
+}
+
+ at ARTICLE{HaHa98,
+ author = {T. Hagstrom and S. I. Hariharan},
+ title = {A formulation of asymptotic and exact boundary conditions using local
+ operators},
+ journal = {Appl. Num. Math.},
+ year = {1998},
+ volume = {27},
+ pages = {403--416}
+}
+
+ at ARTICLE{HalHelene,
+ author = {L. Halpern},
+ title = {Artificial boundary conditions for incompletely parabolic perturbations
+ of hyperbolic systems},
+ journal = {SIAM J. Math. Anal.},
+ year = {1991},
+ volume = {22},
+ pages = {1256-1283},
+ number = {5}
+}
+
+ at ARTICLE{HaOuVe78,
+ author = {M. A. Hamdi and Y. Ousset and G. Verchery},
+ title = {A displacement method for the analysis of vibrations of coupled fluid-structure
+ systems},
+ journal = ijnme,
+ year = {1978},
+ volume = {13},
+ pages = {139-150}
+}
+
+ at ARTICLE{HaSe93,
+ author = {B. Hanouzet and M. Sesques},
+ title = {Absorbing boundary conditions for {M}axwell's equations},
+ journal = {Notes on Numerical Fluid Dynamics},
+ year = {1993},
+ volume = {43},
+ pages = {315-322}
+}
+
+ at ARTICLE{Haetal91,
+ author = {T. Hara and S. Tsuboi and R.J. Geller},
+ title = {Inversion for laterally heterogeneous {E}arth structure using a laterally
+ heterogeneous starting model: preliminary results},
+ journal = gji,
+ year = {1991},
+ volume = {104},
+ pages = {523-540}
+}
+
+ at ARTICLE{harari2006,
+ author = {I. Harari},
+ title = {A survey of finite element methods for time-harmonic acoustics},
+ journal = cmame,
+ year = {2006},
+ volume = {195},
+ pages = {1594-1607}
+}
+
+ at ARTICLE{HaSlTu00,
+ author = {I. Harari and M. Slavutin and E. Turkel},
+ title = {Analytical and numerical studies of a finite element {PML} for the
+ {H}elmholtz equation},
+ journal = jca,
+ year = {2000},
+ volume = {8},
+ pages = {121--137},
+ number = {1}
+}
+
+ at BOOK{Har88,
+ title = {Elastic waves in solids, with application to non destructive testing
+ of pipelines},
+ publisher = {British Gas Editions},
+ year = {1988},
+ author = {A. H. Harker},
+ address = {Bristol}
+}
+
+ at ARTICLE{HaDa99,
+ author = {R. A. Harris and S. M. Day},
+ title = {Dynamic 3{D} simulations of earthquakes on en-echelon faults},
+ journal = grl,
+ year = {1999},
+ volume = {26},
+ pages = {2089--2092}
+}
+
+ at ARTICLE{HaHaFrCaCrMeMi98,
+ author = {S. Hartzell and S. Harmsen and A. Frankel and D. Carver and E. Cranswick
+ and M. Meremonte and J. Michael},
+ title = {First-generation site-response maps for the {L}os {A}ngeles region
+ based on earthquake ground motions},
+ journal = bssa,
+ year = {1998},
+ volume = {88},
+ pages = {463-472}
+}
+
+ at ARTICLE{HaCaKi94,
+ author = {S. H. Hartzell and D. L. Carver and K. W. King},
+ title = {Initial investigation of site and topographic effects at {R}obinwood
+ ridge, {C}alifornia},
+ journal = bssa,
+ year = {1994},
+ volume = {84},
+ pages = {1336-1349}
+}
+
+ at ARTICLE{HaLeFrMi96,
+ author = {S. H. Hartzell and A. Leeds and A. Frankel and J. Michael},
+ title = {Site response for urban {L}os {A}ngeles using aftershocks of the
+ {N}orthridge earthquake},
+ journal = bssa,
+ year = {1996},
+ volume = {86},
+ pages = {S168-S192},
+ number = {1B}
+}
+
+ at ARTICLE{HaScBr96,
+ author = {F. D. Hastings and J. B. Schneider and S. L. Broschat},
+ title = {Application of the {P}erfectly {M}atched {L}ayer {(PML)} absorbing
+ boundary condition to elastic wave propagation},
+ journal = jasa,
+ year = {1996},
+ volume = {100},
+ pages = {3061-3069},
+ number = {5}
+}
+
+ at ARTICLE{hauksson2000,
+ author = {E. Hauksson},
+ title = {Crustal structure and seismicity distribution adjacent to the {P}acific
+ and {N}orth {A}merica plate boundary in {S}outhern {C}alifornia},
+ journal = jgr,
+ year = {2000},
+ volume = {105},
+ pages = {13875--13903}
+}
+
+ at ARTICLE{Hau90,
+ author = {E. Hauksson},
+ title = {Earthquakes, faulting, and stress in the {L}os {A}ngeles basin},
+ journal = jgr,
+ year = {1990},
+ volume = {95},
+ pages = {15365-15394}
+}
+
+ at ARTICLE{HaHa97,
+ author = {E. Hauksson and J. S. Haase},
+ title = {Three-dimensional {$V_p$} and {$V_p/V_s$} velocity models of the
+ {L}os {A}ngeles basin and central {T}ransverse {R}anges, {C}alifornia},
+ journal = jgr,
+ year = {1997},
+ volume = {102},
+ pages = {5423--5453}
+}
+
+ at ARTICLE{HaTeHe87,
+ author = {E. Hauksson and T. L. Teng and T. L. Henyey},
+ title = {Results from a 1500~m deep, three-level downhole seismometer array:
+ site response, low {$Q$} values, and $f_{max}$},
+ journal = bssa,
+ year = {1987},
+ volume = {77},
+ pages = {1883--1904}
+}
+
+ at TECHREPORT{HaKeLe02,
+ author = {P. Havé and M. Kern and Ch. Lemuet},
+ title = {R\'esolution num\'erique de l'\'equation des ondes par une m\'ethode
+ d'\'el\'ements finis d'ordre \'elev\'e sur calculateur parall\`ele},
+ institution = {INRIA},
+ year = {2002},
+ number = {RR 4381},
+ address = {France},
+ month = {February}
+}
+
+ at BOOK{Hea00,
+ title = {Beowulf, a new verse translation, bilingual edition},
+ publisher = {Farrar, Straus and Giroux Publishers},
+ year = {2000},
+ author = {S. Heaney},
+ address = {New York}
+}
+
+ at INCOLLECTION{Hel94,
+ author = {K. Helbig},
+ title = {Foundations of anisotropy for exploration seismics},
+ booktitle = {Handbook of Geophysical exploration, section I: Seismic exploration},
+ publisher = {Pergamon},
+ year = {1994},
+ editor = {K. Helbig and S. Treitel},
+ volume = {22},
+ address = {Oxford, England}
+}
+
+ at ARTICLE{helmbergerburdick1979,
+ author = {D. V. Helmberger and L. J. Burdick},
+ title = {Synthetics seismograms},
+ journal = {Annual Review of Earth and Planetary Sciences},
+ year = {1979},
+ volume = {7},
+ pages = {417--442}
+}
+
+ at ARTICLE{helmbergeretal1996,
+ author = {D. V. Helmberger and E. J. Garnero and X. Ding},
+ title = {Modeling two-dimensional structure at the core-mantle boundary},
+ journal = jgr,
+ year = {1996},
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+}
+
+ at ARTICLE{hemon78,
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+}
+
+ at INCOLLECTION{HeKa93,
+ author = {R. D. Henderson and G. E. Karniadakis},
+ title = {Unstructured spectral element methods for the incompressible {N}avier-{S}tokes
+ equations},
+ booktitle = {Finite elements in fluids},
+ publisher = {Pineridge Press},
+ year = {1993},
+ editor = {K. Morgan, E. Onate, J. Periaux, J. Peraire and O. C. Zienkiewicz},
+ address = {Swansea}
+}
+
+ at ARTICLE{Hest98,
+ author = {J. S. Hesthaven},
+ title = {From electrostatics to almost optimal nodal sets for polynomial interpolation
+ in a simplex},
+ journal = {SIAM J. Numer. Anal.},
+ year = {1998},
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+}
+
+ at ARTICLE{Hest98b,
+ author = {J. S. Hesthaven},
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+ the linearized {E}uler equations},
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+
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+ journal = geophysics,
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+ journal = {SIAM J. Numer. Anal.},
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+
+ at ARTICLE{hilletal1993,
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+ earthquake},
+ journal = {Science},
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+}
+
+ at ARTICLE{HoRo94,
+ author = {L. W. Ho and E. M. R{\o}nquist},
+ title = {{S}pectral {E}lement Solution of Steady Incompressible Viscous Free-Surface
+ Flows},
+ journal = {Finite Elements in Analysis and Design},
+ year = {1994},
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+}
+
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+
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+
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+ {{\it S}} wave incidence},
+ journal = {J. Phys. Earth},
+ year = {1990},
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+
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+ title = {Matrix analysis},
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+
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+ at ARTICLE{Hu01,
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+ in Unsplit Physical Variables},
+ journal = jcp,
+ year = {2001},
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+}
+
+ at ARTICLE{Huang95,
+ author = {J. Y. Huang},
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+
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+ journal = gjras,
+ year = {1980},
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+
+ at ARTICLE{HuKn64a,
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+ {L}ove waves},
+ journal = jgr,
+ year = {1964},
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+}
+
+ at ARTICLE{HuKn64b,
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+ {R}ayleigh waves (theoretical)},
+ journal = jgr,
+ year = {1964},
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+}
+
+ at ARTICLE{Hud96,
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+}
+
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+ {T}ransverse {R}anges, {V}entura Basin, {C}alifornia},
+ journal = jgr,
+ year = {1995},
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+}
+
+ at BOOK{Hug87,
+ title = {The finite element method, linear static and dynamic finite element
+ analysis},
+ publisher = {Prentice-Hall International},
+ year = {1987},
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+ address = {Englewood Cliffs, New Jersey, USA}
+}
+
+ at ARTICLE{HuHu88,
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+ title = {Space-time finite element methods for elastodynamics, formulation
+ and error estimates},
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+}
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+}
+
+ at PHDTHESIS{Hul89,
+ author = {G. M. Hulbert},
+ title = {Space-time finite element methods for second-order hyperbolic equations},
+ school = {Stanford University},
+ year = {1989},
+ address = {Stanford}
+}
+
+ at ARTICLE{HuCh92,
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+ explicit generalized $\alpha$-method},
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+}
+
+ at ARTICLE{HuHu90,
+ author = {G. M. Hulbert and T. J. R. Hughes},
+ title = {Space-time finite element methods for second-order hyperbolic equations},
+ journal = cmame,
+ year = {1990},
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+}
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+ using the parallel multidomain pseudo-spectral method},
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+}
+
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+ non-reflecting boundary conditions},
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+}
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+ Vernon and A. Edelman},
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+ spectral method},
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+ year = {1999},
+ volume = {136},
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+}
+
+ at PHDTHESIS{Ige93,
+ author = {Heiner Igel},
+ title = {Seismic modeling and inversion},
+ school = {Universit\'e Paris {\sc VII} Jussieu},
+ year = {1993},
+ address = {Paris}
+}
+
+ at ARTICLE{IgGe00,
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+}
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+ journal = geophysics,
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+ number = {4}
+}
+
+ at ARTICLE{IgWe96,
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+ differences: application to lowermost mantle structure},
+ journal = grl,
+ year = {1996},
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+}
+
+ at ARTICLE{IgWe95,
+ author = {H. Igel and M. Weber},
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+ differences},
+ journal = grl,
+ year = {1995},
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+}
+
+ at INCOLLECTION{IsIgKa90,
+ author = {K. Ishihara and M. Iguchi and K. Kamo},
+ title = {Numerical simulation of lava flows on some volcanoes in {J}apan},
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+ publisher = {Springer-Verlag},
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+ editor = {J. H. Fink},
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+}
+
+ at BOOK{Iss89,
+ title = {An Introduction to Applied Geostatistics},
+ publisher = {Oxford University Press},
+ year = {1989},
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+ address = {Oxford},
+ note = {560 p.}
+}
+
+ at ARTICLE{IwHaKaIr96,
+ author = {T. Iwata and K. Hatayama and H. Kawase and K. Irikura},
+ title = {Site Amplification of Ground motions during aftershocks of the 1995
+ {H}yogo-ken {N}anbu earthquake in severely damaged zone - {A}rray
+ observation of ground motions at {H}igashinada {W}ard, {K}obe city,
+ {J}apan},
+ journal = {J. Phys. Earth},
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+}
+
+ at PHDTHESIS{Jon02,
+ author = {S. J\'onsson},
+ title = {Modeling volcano and earthquake deformation from satellite {R}adar
+ interferometric observations},
+ school = {Stanford University},
+ year = {2002},
+ address = {California}
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+ journal = gp,
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+}
+
+ at INCOLLECTION{Jen75,
+ author = {P. Jennings},
+ title = {Fault map of {C}alifornia with volcanoes, thermal springs and thermal
+ wells at 1:750,000 scale},
+ booktitle = {Geological Data Map 1},
+ publisher = {California Division of Mines and Geology},
+ year = {1975},
+ address = {Sacramento, California}
+}
+
+ at ARTICLE{JiHeWa04,
+ author = {Chen Ji and Don V. Helmberger and David J. Wald},
+ title = {A Teleseismic Study of the 2002 {D}enali Fault, {A}laska, Earthquake
+ and Implications for Rapid Strong-Motion Estimation},
+ journal = {Earthquake Spectra},
+ year = {2004},
+ volume = {20},
+ pages = {617-637},
+ number = {3}
+}
+
+ at ARTICLE{JiHeWa2000,
+ author = {C. Ji and D. V. Helmberger and D. J. Wald},
+ title = {Basin structure estimation by waveform modeling: forward and inverse
+ methods},
+ journal = bssa,
+ year = {2000},
+ volume = {90},
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+}
+
+ at ARTICLE{JiTsKoTr05,
+ author = {Chen Ji and Seiji Tsuboi and Dimitri Komatitsch and Jeroen Tromp},
+ title = {Rayleigh-Wave Multipathing along the West Coast of North America},
+ journal = bssa,
+ year = {2005},
+ volume = {95},
+ pages = {2115–2124},
+ number = {6},
+ doi = {10.1785/0120040180}
+}
+
+ at ARTICLE{Ji2002a,
+ author = {C. Ji and D. J. Wald and D. V. Helmberger},
+ title = {Source description of the 1999 {Hector Mine, California} earthquake;
+ {Part I: Wavelet} Domain Inversion Theory and Resolution Analysis},
+ journal = bssa,
+ year = {2002},
+ volume = {92},
+ pages = {1192-1207}
+}
+
+ at ARTICLE{Jia99,
+ author = {Zhang Jianfeng},
+ title = {Quadrangle-grid velocity-stress finite difference method for poroelastic
+ wave equations},
+ journal = gji,
+ year = {1999},
+ volume = {139},
+ pages = {171-182}
+}
+
+ at ARTICLE{JiWaBe95,
+ author = {W. Jiao and T. C. Wallace and S. L. Beck},
+ title = {Evidence for static displacements from the {J}une 9, 1994 deep {B}olivian
+ earthquake},
+ journal = grl,
+ year = {1995},
+ volume = {22},
+ pages = {2285--2288},
+ number = {16}
+}
+
+ at ARTICLE{JiMcDe88,
+ author = {R. S. Jih and K. L. McLaughlin and Z. A Der},
+ title = {Free-boundary conditions of arbitrary polygonal topography in a two-dimensional
+ explicit elastic finite-difference scheme},
+ journal = geophysics,
+ year = {1988},
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+}
+
+ at ARTICLE{JiMaViLa92,
+ author = {S. Jin and R. Madariaga and J. Virieux and G. Lambar\'e},
+ title = {Two dimensional asymptotic iterative elastic inversion},
+ journal = gji,
+ year = {1992},
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+ pages = {575--588}
+}
+
+ at ARTICLE{JoGaDiRo77,
+ author = {N. Jobert and R. Gaulon and A. Dieulin and G. Roult},
+ title = {Sur les ondes de tr\`es longue p\'eriode, caract\'eristiques du manteau
+ sup\'erieur},
+ journal = {Comptes rendus Acad. Sci. Paris},
+ year = {1977},
+ volume = {S\'erie B, 285},
+ pages = {49-51}
+}
+
+ at ARTICLE{JoHuMaJo92,
+ author = {Z. Johan and T. J. R. Hughes and K. K. Mathur and S. L. Johnsson},
+ title = {A data parallel finite element method for computational fluid dynamics
+ on the {C}onnection {M}achine system},
+ journal = cmame,
+ year = {1992},
+ volume = {99},
+ pages = {113-134}
+}
+
+ at ARTICLE{JoMaJoHu94,
+ author = {Z. Johan and K. K. Mathur and S. L. Johnsson and T. J. R. Hughes},
+ title = {An efficient communications strategy for finite element methods on
+ the {C}onnection {Machine} {CM-5} system},
+ journal = cmame,
+ year = {1994},
+ volume = {113},
+ pages = {363-387}
+}
+
+ at TECHREPORT{Jol95,
+ author = {P. Joly},
+ title = {R\'esolution de l'\'equation de {B}urgers par paquets d'ondelettes},
+ institution = {Laboratoire d'Analyse Num\'erique},
+ year = {1995},
+ address = {Universit\'e Pierre et Marie Curie, Paris}
+}
+
+ at INPROCEEDINGS{JoKoVi95,
+ author = {P. Joly and D. Komatitsch and J. P. Vilotte},
+ title = {Solution of the wave equation by a wavelet basis approximation},
+ booktitle = {Proceedings of the Enumath'1995 conference},
+ year = {1995},
+ address = {Paris, France}
+}
+
+ at ARTICLE{JoMaPe94,
+ author = {P. Joly and Y. Maday and V. Perrier},
+ title = {Towards a method for solving partial differential equations by using
+ wavelet packet bases},
+ journal = cmame,
+ year = {1994},
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+}
+
+ at ARTICLE{Jordan2,
+ author = {Jordan, P. M.},
+ title = {{C}omment on \textit{{E}xact Constructions of Square-root {H}elmholtz
+ Operator Symbols: The Focusing Quadratic Profile}},
+ journal = {J. Math. Phys.},
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+ author = {W. B. Joyner and T. F. Chen},
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+ waves on unstructured meshes-{I}. {T}he two-dimensional isotropic
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+ year = {2006},
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+ pages = {855-877},
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+}
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+ year = {1993},
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+ author = {A. Kamel and P. Sguazzero and M. Kindelan},
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+ year = {1995},
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+ and dissipative mechanical systems},
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+}
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+ at ARTICLE{KaKu98a,
+ author = {George Karypis and Vipin Kumar},
+ title = {A Fast and High-Quality Multilevel Scheme for Partitioning Irregular
+ Graphs},
+ journal = {SIAM Journal on Scientific Computing},
+ year = {1998},
+ volume = {20},
+ pages = {359-392},
+ number = {1}
+}
+
+ at ARTICLE{KaKu98b,
+ author = {George Karypis and Vipin Kumar},
+ title = {Multilevel {$k$}-way Partitioning Scheme for Irregular Graphs},
+ journal = {Journal of Parallel and Distributed Computing},
+ year = {1998},
+ volume = {48},
+ pages = {96-129},
+ number = {1}
+}
+
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+ title = {Active contour models},
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+}
+
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+ author = {Theodoros K. Katsibas and Christos S. Antonopoulos},
+ title = {An efficient {PML} absorbing medium in {FDTD} simulations of acoustic
+ scattering in lossy media},
+ booktitle = {Proceedings of the 2002 IEEE ultrasonics symposium},
+ year = {2002},
+ volume = {1},
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+ address = {Munich, Germany},
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+}
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+}
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+ author = {H. Kawase},
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+ SV}}, {{\it P}} and {R}ayleigh waves calculated by the discrete wavenumber
+ boundary element method},
+ journal = bssa,
+ year = {1988},
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+}
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+ author = {H. Kawase and K. Aki},
+ title = {Topography effect at the critical {{\it SV}} wave incidence: possible
+ explanation of damage pattern by the {W}hittier {N}arrows, {C}alifornia,
+ earthquake of 1 {O}ctober 1987},
+ journal = bssa,
+ year = {1990},
+ volume = {80},
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+}
+
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+ author = {H. Kawase and K. Aki},
+ title = {A study on the response of a soft sedimentary basin for incident
+ {{\it S}}, {{\it P}} and {R}ayleigh waves, with special reference
+ to the long duration observed in {M}exico {C}ity},
+ journal = bssa,
+ year = {1989},
+ volume = {79},
+ pages = {1361-1382}
+}
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+ at ARTICLE{KaKr99,
+ author = {I. Kay and E. S. Krebes},
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+ of wave propagation in anelastic media},
+ journal = geophysics,
+ year = {1999},
+ volume = {64},
+ pages = {300-307}
+}
+
+ at ARTICLE{KeWaTrAl76,
+ author = {K. R. Kelly and R. W. Ward and S. Treitel and R. M. Alford},
+ title = {Synthetic seismograms: a Finite Difference approach},
+ journal = geophysics,
+ year = {1976},
+ volume = {41},
+ pages = {2-27}
+}
+
+ at ARTICLE{KeSi96,
+ author = {J. M. Kendall and P. G. Silver},
+ title = {Constraints from seismic anisotropy on the nature of the lowermost
+ mantle},
+ journal = {Nature},
+ year = {1996},
+ volume = {381},
+ pages = {409}
+}
+
+ at BOOK{Ken83,
+ title = {Seismic wave propagation in stratified media},
+ publisher = {Cambridge University Press},
+ year = {1983},
+ author = {B. L. N. Kennett},
+ address = {Cambridge}
+}
+
+ at ARTICLE{KeEn91,
+ author = {B. L. N. Kennett and E. R. Engdahl},
+ title = {Traveltimes for global earthquake location and phase identification},
+ journal = gji,
+ year = {1991},
+ volume = {105},
+ pages = {429-465}
+}
+
+ at ARTICLE{KeEnBu95,
+ author = {B. L. N. Kennett and E. R. Engdahl and R. Buland},
+ title = {Constraints on seismic velocities in the {E}arth from traveltimes},
+ journal = gji,
+ year = {1995},
+ volume = {122},
+ pages = {108--124}
+}
+
+ at ARTICLE{Khu85,
+ author = {M. J. Khun},
+ title = {A numerical study of {L}amb's problem},
+ journal = gp,
+ year = {1985},
+ volume = {33},
+ pages = {1103-1137}
+}
+
+ at ARTICLE{KiFe76,
+ author = {L. Kiefling and G. C. Feng},
+ title = {Fluid-structure finite element vibrational analysis},
+ journal = {AIAA J.},
+ year = {1976},
+ volume = {14},
+ pages = {199-203},
+ number = {2}
+}
+
+ at MISC{KiYa2002,
+ author = {M. Kikuchi and Y. Yamanaka},
+ title = {Source rupture process of the central {A}laska earthquake of {N}ovember
+ 3, 2002, inferred from teleseismic body waves},
+ year = {2002},
+ note = {ERI, University of Tokyo, Japan, wwweic.eri.u-tokyo.ac.jp/EIC/EIC\_News/021103AL-e.html}
+}
+
+ at ARTICLE{KiPa93,
+ author = {J. Kim and A. Papageorgiou},
+ title = {Discrete wavenumber boundary element method for 3{D} scattering problems},
+ journal = {J. Eng. Mech. ASCE},
+ year = {1993},
+ volume = {119},
+ pages = {603-624}
+}
+
+ at ARTICLE{KiSeSg89,
+ author = {M. Kindelan and G. Seriani and P. Sguazzero},
+ title = {Elastic modeling and its application to amplitude versus angle interpretation},
+ journal = gp,
+ year = {1989},
+ volume = {37},
+ pages = {3-30}
+}
+
+ at INPROCEEDINGS{kiyashchenkoplessix2005,
+ author = {D. A. Kiyashchenko and R. E. Plessix},
+ title = {True amplitude multi-one-way migration: comparison of different imaging
+ principles},
+ booktitle = {Expanded abstracts of the Soc. Expl. Geophys.},
+ year = {2005},
+ note = {75th international meeting of the SEG}
+}
+
+ at TECHREPORT{KlVi02,
+ author = {E. M. C. Klien and J. P. Vilotte},
+ title = {Perfectly matched layers in the spectral element method},
+ institution = {Lithos Scientific Report},
+ year = {2002},
+ number = {4},
+ note = {Unpublished}
+}
+
+ at ARTICLE{Kli96,
+ author = {L. Klimes},
+ title = {Accuracy of elastic finite differences in smooth media},
+ journal = pageoph,
+ year = {1996},
+ volume = {148},
+ pages = {39-76},
+ number = {1}
+}
+
+ at ARTICLE{Knu99,
+ author = {Patrick M. Knupp},
+ title = {Applications of mesh smoothing: copy, morph, and sweep on unstructured
+ quadrilateral meshes},
+ journal = ijnme,
+ year = {1999},
+ volume = {45},
+ pages = {37-45},
+ number = {1}
+}
+
+ at INCOLLECTION{Kob84,
+ author = {S. Kobayashi},
+ title = {Fundamentals of boundary integral equations methods in elastodynamics},
+ booktitle = {Boundary element research},
+ publisher = {Springer-Verlag},
+ year = {1984},
+ editor = {C. A. Brebbia},
+ volume = {2},
+ address = {New-York}
+}
+
+ at BOOK{Kob87,
+ title = {Elastodynamics in boundary element methods in mechanics},
+ publisher = {North-Holland},
+ year = {1987},
+ author = {S. Kobayashi},
+ address = {Amsterdam}
+}
+
+ at ARTICLE{KohnNir,
+ author = {Kohn, J. J. and Nirenberg, L.},
+ title = {On the Algebra of Pseudo-Differential Operators},
+ journal = {Comm. Pure Appl. Math.},
+ year = {1965},
+ volume = {18},
+ pages = {269--305}
+}
+
+ at ARTICLE{Kom08,
+ author = {Dimitri Komatitsch},
+ title = {Comment on ``{M}ultidomain {P}seudospectral {T}ime-{D}omain ({PSTD})
+ method for acoustic waves in lossy media'' by {Y. Q. Zeng, Q. H.
+ Liu and G. Zhao, Journal of Computational Acoustics, vol. 12, no.
+ 3, pp 277-299 (2004)}},
+ journal = jca,
+ year = {2008},
+ note = {in press.}
+}
+
+ at PHDTHESIS{Kom03,
+ author = {Dimitri Komatitsch},
+ title = {Advanced numerical modeling in geophysics ({M}od\'elisation num\'erique
+ avanc\'ee pour la g\'eophysique)},
+ school = {Universit\'e de Pau et des Pays de l'Adour},
+ year = {2003},
+ address = {Pau, France},
+ month = {September},
+ note = {Habilitation Thesis (Habilitation \`a {D}iriger des {R}echerches,
+ {H.D.R.}), 114 pages}
+}
+
+ at PHDTHESIS{Kom97,
+ author = {Dimitri Komatitsch},
+ title = {M\'ethodes spectrales et \'el\'ements spectraux pour l'\'equation
+ de l'\'elastodynamique 2{D} et 3{D} en milieu h\'et\'erog\`ene ({S}pectral
+ and spectral-element methods for the 2{D} and 3{D} elastodynamics
+ equations in heterogeneous media)},
+ school = {Institut de Physique du Globe},
+ year = {1997},
+ address = {Paris, France},
+ month = {May},
+ note = {187 pages}
+}
+
+ at ARTICLE{KoBaTr00,
+ author = {D. Komatitsch and C. Barnes and J. Tromp},
+ title = {Wave propagation near a fluid-solid interface: a spectral element
+ approach},
+ journal = geophysics,
+ year = {2000},
+ volume = {65},
+ pages = {623-631},
+ number = {2},
+ doi = {10.1190/1.1444758}
+}
+
+ at ARTICLE{KoBaTr00b,
+ author = {D. Komatitsch and C. Barnes and J. Tromp},
+ title = {Simulation of anisotropic wave propagation based upon a spectral
+ element method},
+ journal = geophysics,
+ year = {2000},
+ volume = {65},
+ pages = {1251-1260},
+ number = {4},
+ doi = {10.1190/1.1444816}
+}
+
+ at ARTICLE{KoCoMo96,
+ author = {D. Komatitsch and F. Coutel and P. Mora},
+ title = {Tensorial formulation of the wave equation for modelling curved interfaces},
+ journal = gji,
+ year = {1996},
+ volume = {127},
+ pages = {156-168}
+}
+
+ at ARTICLE{KoLiTrSuStSh04,
+ author = {Dimitri Komatitsch and Qinya Liu and Jeroen Tromp and Peter S\"{u}ss
+ and Christiane Stidham and John H. Shaw},
+ title = {Simulations of Ground Motion in the {L}os {A}ngeles Basin based upon
+ the Spectral-Element Method},
+ journal = bssa,
+ year = {2004},
+ volume = {94},
+ pages = {187-206},
+ number = {1},
+ doi = {10.1785/0120030077}
+}
+
+ at ARTICLE{KoMa07,
+ author = {Dimitri Komatitsch and Roland Martin},
+ title = {An unsplit convolutional {P}erfectly {M}atched {L}ayer improved at
+ grazing incidence for the seismic wave equation},
+ journal = geophysics,
+ year = {2007},
+ volume = {72},
+ pages = {SM155-SM167},
+ number = {5},
+ doi = {10.1190/1.2757586}
+}
+
+ at ARTICLE{KoMaTrTaWi01,
+ author = {D. Komatitsch and R. Martin and J. Tromp and M. A. Taylor and B.
+ A. Wingate},
+ title = {Wave propagation in 2-{D} elastic media using a spectral element
+ method with triangles and quadrangles},
+ journal = jca,
+ year = {2001},
+ volume = {9},
+ pages = {703-718},
+ number = {2},
+ doi = {10.1142/S0218396X01000796}
+}
+
+ at ARTICLE{KoRiTr02,
+ author = {D. Komatitsch and J. Ritsema and J. Tromp},
+ title = {The Spectral-Element Method, {B}eowulf Computing, and Global Seismology},
+ journal = {Science},
+ year = {2002},
+ volume = {298},
+ pages = {1737-1742},
+ number = {5599},
+ doi = {10.1126/science.1076024}
+}
+
+ at INCOLLECTION{KoTr02c,
+ author = {D. Komatitsch and J. Tromp},
+ title = {Propagaci{\'o}n de ondas s{\'\i}smicas en modelos de tierra global
+ 3-{D} usando elementos espectrales},
+ booktitle = {M\'etodos num\'ericos en ingenieria y ciencias aplicadas},
+ publisher = {CIMNE},
+ year = {2002},
+ editor = {{E. O{\~{n}}ate et al.}},
+ pages = {676-686},
+ address = {Barcelona, Espa{\~{n}}a}
+}
+
+ at ARTICLE{KoTr03,
+ author = {D. Komatitsch and J. Tromp},
+ title = {A {P}erfectly {M}atched {L}ayer absorbing boundary condition for
+ the second-order seismic wave equation},
+ journal = gji,
+ year = {2003},
+ volume = {154},
+ pages = {146-153},
+ number = {1},
+ doi = {10.1046/j.1365-246X.2003.01950.x}
+}
+
+ at ARTICLE{KoTr02a,
+ author = {D. Komatitsch and J. Tromp},
+ title = {Spectral-Element Simulations of Global Seismic Wave Propagation{-I.
+ V}alidation},
+ journal = gji,
+ year = {2002},
+ volume = {149},
+ pages = {390-412},
+ number = {2},
+ doi = {10.1046/j.1365-246X.2002.01653.x}
+}
+
+ at ARTICLE{KoTr02b,
+ author = {D. Komatitsch and J. Tromp},
+ title = {Spectral-Element Simulations of Global Seismic Wave Propagation{-II.
+ 3-D} Models, Oceans, Rotation, and Self-Gravitation},
+ journal = gji,
+ year = {2002},
+ volume = {150},
+ pages = {303-318},
+ number = {1},
+ doi = {10.1046/j.1365-246X.2002.01716.x}
+}
+
+ at ARTICLE{KoTr01c,
+ author = {D. Komatitsch and J. Tromp},
+ title = {Modeling of seismic wave propagation at the scale of the {E}arth
+ on a large {B}eowulf},
+ journal = {Proceedings of the ACM/IEEE Supercomputing SC'2001 conference},
+ year = {2001},
+ note = {published on CD-ROM and at www.sc-conference.org/sc2001}
+}
+
+ at ARTICLE{KoTr01d,
+ author = {D. Komatitsch and J. Tromp},
+ title = {Modeling Seismic Wave Propagation on a 156~{GB PC} Cluster},
+ journal = {Linux Journal},
+ year = {2001},
+ volume = {90},
+ pages = {38-45}
+}
+
+ at ARTICLE{KoTr99,
+ author = {D. Komatitsch and J. Tromp},
+ title = {Introduction to the spectral-element method for 3-{D} seismic wave
+ propagation},
+ journal = gji,
+ year = {1999},
+ volume = {139},
+ pages = {806-822},
+ number = {3},
+ doi = {10.1046/j.1365-246x.1999.00967.x}
+}
+
+ at ARTICLE{KoTsChTr03,
+ author = {Dimitri Komatitsch and Seiji Tsuboi and Chen Ji and Jeroen Tromp},
+ title = {A 14.6~billion degrees of freedom, 5~teraflops, 2.5~terabyte earthquake
+ simulation on the {E}arth~{S}imulator},
+ journal = {Proceedings of the ACM/IEEE Supercomputing SC'2003 conference},
+ year = {2003},
+ note = {published on CD-ROM and at www.sc-conference.org/sc2003}
+}
+
+ at INCOLLECTION{KoTsTr05,
+ author = {D. Komatitsch and S. Tsuboi and J. Tromp},
+ title = {The Spectral-Element Method in Seismology},
+ booktitle = {Seismic Earth: Array Analysis of Broadband Seismograms},
+ publisher = {American Geophysical Union},
+ year = {2005},
+ editor = {Alan Levander and Guust Nolet},
+ volume = {157},
+ series = {Geophysical Monograph},
+ pages = {205-228},
+ address = {Washington DC, USA}
+}
+
+ at ARTICLE{KoVi98,
+ author = {D. Komatitsch and J. P. Vilotte},
+ title = {The spectral-element method: an efficient tool to simulate the seismic
+ response of 2{D} and 3{D} geological structures},
+ journal = bssa,
+ year = {1998},
+ volume = {88},
+ pages = {368-392},
+ number = {2}
+}
+
+ at ARTICLE{KoViVaCaSa99,
+ author = {D. Komatitsch and J. P. Vilotte and R. Vai and J. M. Castillo-Covarrubias
+ and F. J. S\'anchez-Sesma},
+ title = {The {S}pectral {E}lement method for elastic wave equations: application
+ to 2{D} and 3{D} seismic problems},
+ journal = ijnme,
+ year = {1999},
+ volume = {45},
+ pages = {1139-1164},
+ number = {9},
+ doi = {10.1002/(SICI)1097-0207(19990730)45:9<1139::AID-NME617>3.0.CO;2-T}
+}
+
+ at ARTICLE{Komornik,
+ author = {V. Komornik},
+ title = {Stabilisation fronti\`ere des \'equations de {M}axwell},
+ journal = {C. R. Acad. Sci. Paris S\'er. I},
+ year = {1994},
+ volume = {318},
+ pages = {535-540}
+}
+
+ at ARTICLE{Kop96,
+ author = {D. A. Kopriva},
+ title = {A conservative staggered-grid {C}hebyshev multidomain method for
+ compressible flows: {P}art {II}, a semi-structured method},
+ journal = jcp,
+ year = {1996},
+ volume = {128},
+ pages = {475-488}
+}
+
+ at ARTICLE{Kop89,
+ author = {David A. Kopriva},
+ title = {Computation of Hyperbolic Equations on Complicated Domains with Patched
+ and Overset {C}hebyshev Grids},
+ journal = {SIAM Journal on Scientific and Statistical Computing},
+ year = {1989},
+ volume = {10},
+ pages = {120-132},
+ number = {1},
+ doi = {10.1137/0910010}
+}
+
+ at ARTICLE{Kop86,
+ author = {David A. Kopriva},
+ title = {A spectral multidomain method for the solution of hyperbolic systems},
+ journal = {Applied Numerical Mathematics},
+ year = {1986},
+ volume = {2},
+ pages = {221-241},
+ number = {3-5},
+ doi = {10.1016/0168-9274(86)90030-9}
+}
+
+ at ARTICLE{KoBa82,
+ author = {D. Kosloff and E. Baysal},
+ title = {Forward modeling by the {F}ourier method},
+ journal = geophysics,
+ year = {1982},
+ volume = {47},
+ pages = {1402-1412}
+}
+
+ at ARTICLE{KoKeFiTeBeSt90,
+ author = {D. Kosloff and D. Kessler and A. Q. Filho and E. Tessmer and A. Behle
+ and R. Strahilevitz},
+ title = {Solution of the equations of dynamics elasticity by a {C}hebyshev
+ spectral method},
+ journal = geophysics,
+ year = {1990},
+ volume = {55},
+ pages = {748-754}
+}
+
+ at ARTICLE{KoReLo84,
+ author = {D. Kosloff and M. Reshef and D. Loewenthal},
+ title = {Elastic wave calculations by the {F}ourier method},
+ journal = bssa,
+ year = {1984},
+ volume = {74},
+ pages = {875-891}
+}
+
+ at ARTICLE{KoTa93,
+ author = {D. Kosloff and H. Tal-Ezer},
+ title = {A modified {C}hebyshev pseudospectral method with an {{$O(N^{-1})$}}
+ time step restriction},
+ journal = jcp,
+ year = {1993},
+ volume = {104},
+ pages = {457-469}
+}
+
+ at ARTICLE{KoYiTs99,
+ author = {T. I. Kosmanis and T. V. Yioultsis and T. D. Tsiboukis},
+ title = {Perfectly matched anisotropic layer for the numerical analysis of
+ unbounded eddy-current problems},
+ journal = {IEEE transactions on Magnetics},
+ year = {1999},
+ volume = {35},
+ pages = {4452--4458},
+ number = {6}
+}
+
+ at ARTICLE{Kra76,
+ author = {E. Kraut},
+ title = {Review of theories of scattering of elastic waves by cracks},
+ journal = {IEEE Trans. S. U.},
+ year = {1976},
+ volume = {3},
+ pages = {162--167}
+}
+
+ at ARTICLE{KrJiKoTr06a,
+ author = {Swaminathan Krishnan and Chen Ji and Dimitri Komatitsch and Jeroen
+ Tromp},
+ title = {Case Studies of Damage to Tall Steel Moment-Frame Buildings in {S}outhern
+ {C}alifornia during Large {S}an {A}ndreas Earthquakes},
+ journal = bssa,
+ year = {2006},
+ volume = {96},
+ pages = {1523-1537},
+ number = {4A},
+ doi = {10.1785/0120050145}
+}
+
+ at ARTICLE{KrJiKoTr06b,
+ author = {Swaminathan Krishnan and Chen Ji and Dimitri Komatitsch and Jeroen
+ Tromp},
+ title = {Performance of two 18-story steel moment-frame buildings in {S}outhern
+ {C}alifornia during two large simulated {S}an {A}ndreas Earthquakes},
+ journal = {Earthquake Spectra},
+ year = {2006},
+ volume = {22},
+ pages = {1035-1061},
+ number = {4},
+ doi = {10.1193/1.2360698}
+}
+
+ at INPROCEEDINGS{KrJiKoTr06c,
+ author = {Swaminathan Krishnan and Chen Ji and Dimitri Komatitsch and Jeroen
+ Tromp},
+ title = {Impact of a large {S}an {A}ndreas fault earthquake on tall buildings
+ in {S}outhern {C}alifornia},
+ booktitle = {Proceedings of the 8th U.S. National Conference on Earthquake Engineering},
+ year = {2006},
+ month = {April 18-22},
+ note = {Paper No. 154, available on CD-ROM.}
+}
+
+ at INCOLLECTION{KrMoIrIwSe99,
+ author = {J. Kristek and P. Moczo and K. Irikura and T. Iwata and H. Sekiguchi},
+ title = {The 1995 {K}obe mainshock simulated by {3D} finite differences},
+ booktitle = {The Effects of Surface Geology on Seismic Motion},
+ publisher = {Balkema},
+ year = {1999},
+ editor = {K. Irikura and K. Kudo and H. Okada and T. Sasatani},
+ volume = {3},
+ pages = {1361--1368},
+ address = {Rotterdam, The Netherlands}
+}
+
+ at ARTICLE{KuAn69,
+ author = {M. Kumazawa and O. L. Anderson},
+ title = {Elastic Moduli, Pressure Derivates and Temperature Derivates of Single-Crystal
+ Olivine and Single-Crystal Forstite},
+ journal = jgr,
+ year = {1969},
+ volume = {74},
+ pages = {5961-5972}
+}
+
+ at INPROCEEDINGS{KuBe88,
+ author = {B. Kummer and A. Behle},
+ title = {Fast modeling of seismic waves in laterally inhomogeneous media},
+ booktitle = {Expanded abstracts of the Soc. Expl. Geophys.},
+ year = {1988},
+ pages = {1175-1177},
+ note = {58th international meeting of the SEG}
+}
+
+ at ARTICLE{KuDzEk06,
+ author = {B. Kustowski and A. M. Dziewonski and G. Ekstrom},
+ title = {Modeling the anisotropic shear-wave velocity structure in the {E}arth's
+ mantle on global and regional scales},
+ journal = {EOS},
+ year = {2006},
+ volume = {87},
+ pages = {Abstract S41E-02},
+ number = {52},
+ note = {Fall Meet. Suppl.}
+}
+
+ at ARTICLE{KuMi96,
+ author = {M. Kuzuoglu and R. Mittra},
+ title = {Frequency dependence of the constitutive parameters of causal perfectly
+ matched anisotropic absorbers},
+ journal = {IEEE Microwave and Guided Wave Letters},
+ year = {1996},
+ volume = {6},
+ pages = {447-449},
+ number = {12}
+}
+
+ at ARTICLE{LaMaQu97,
+ author = {D. J. P. Lahaye and F. Maggio and A. Quarteroni},
+ title = {Hybrid finite element-spectral element approximation of wave propagation
+ problems},
+ journal = {East-West J. Numer. Math.},
+ year = {1997},
+ volume = {5},
+ pages = {265-289},
+ number = {4}
+}
+
+ at ARTICLE{Lak87,
+ author = {R. Lakes},
+ title = {Foam structures with a negative {P}oisson's ratio},
+ journal = {Science},
+ year = {1987},
+ volume = {235},
+ pages = {1038-1040}
+}
+
+ at BOOK{Lam52,
+ title = {Le\c cons sur la th\'eorie math\'ematique de l'\'elasticit\'e des
+ corps solides},
+ publisher = {Gauthier-Villars},
+ year = {1852},
+ author = {Gabriel Lam\'e},
+ address = {Paris}
+}
+
+ at ARTICLE{Lam04,
+ author = {H. Lamb},
+ title = {On the propagation of tremors over the surface of an elastic solid},
+ journal = {Phil. Trans. R. Soc. London. Ser. A},
+ year = {1904},
+ volume = {203},
+ pages = {1-42}
+}
+
+ at ARTICLE{LaViMaJi92,
+ author = {Gilles Lambar\'e and Jean Virieux and Raul Madariaga and Side Jin},
+ title = {Iterative asymptotic inversion in the acoustic approximation},
+ journal = geophysics,
+ year = {1992},
+ volume = {57},
+ pages = {1138-1154},
+ number = {9}
+}
+
+ at BOOK{LaLi53,
+ title = {Th\'eorie de l'\'elasticit\'e},
+ publisher = {Editions Mir},
+ year = {1953},
+ author = {L. Landau and E. Lifchitz},
+ address = {Moscou},
+ edition = {2nd}
+}
+
+ at BOOK{LaLi59,
+ title = {Fluid mechanics},
+ publisher = {Pergamon Press},
+ year = {1959},
+ author = {L. D. Landau and E. M. Lifshitz},
+ address = {New-York}
+}
+
+ at ARTICLE{Lap61,
+ author = {E. R. Lapwood},
+ title = {The transmission of a {R}ayleigh pulse round a corner},
+ journal = {Geophys. J.},
+ year = {1961},
+ volume = {4},
+ pages = {174-196}
+}
+
+ at ARTICLE{LaAnDrStScLoRo97,
+ author = {S. Larsen and M. Antolik and D. Dreger and C. Stidham and C. Schultz
+ and A. Lomax and B. Romanowicz},
+ title = {3-{D} Models of Seismic Wave Propagation: Simulating Scenario Earthquakes
+ Along the {H}ayward Fault},
+ journal = {Seis. Res. Lett.},
+ year = {1997},
+ volume = {68},
+ pages = {328}
+}
+
+ at ARTICLE{LaMiTrTaKoCh05,
+ author = {Konstantin Latychev and Jerry X. Mitrovica and Jeroen Tromp and Mark
+ E. Tamisiea and Dimitri Komatitsch and Christina C. Christara},
+ title = {Glacial isostatic adjustment on 3-{D} {E}arth models: a finite-volume
+ formulation},
+ journal = gji,
+ year = {2005},
+ volume = {161},
+ pages = {421-444},
+ number = {2},
+ doi = {10.1111/j.1365-246X.2005.02536.x}
+}
+
+ at ARTICLE{LayKanamoriAmmon2005,
+ author = {Lay, T. and Kanamori, H. and Ammon, C.J. and Nettles, M. and Ward,
+ S.N. and Aster, R.C. and Beck, S.L. and Bilek {S.L.} and Brudzinski,
+ {M.R.} and Butler, R. and DeShon, H.R. and Ekstrom, G. and Satake,
+ K. and Sipkin, S.},
+ title = {The great {S}umatra-{A}ndaman earthquake of 26 {D}ecember 2004},
+ journal = {Science},
+ year = {2005},
+ volume = {3},
+ pages = {1127--1133},
+ number = {5725}
+}
+
+ at ARTICLE{LeGuApGo05,
+ author = {Le Guyader, C. and Apprato, D. and Gout, C.},
+ title = {Using a level set approach for image segmentation under interpolation
+ conditions},
+ journal = {Numer. Algorithms},
+ year = {2005},
+ volume = {39},
+ pages = {221-235}
+}
+
+ at PHDTHESIS{LeRousseau2001,
+ author = {J. H. {Le Rousseau}},
+ title = {Microlocal analysis of wave-equation imaging and generalized-screen
+ propagators},
+ school = {Center for Wave Phenomena, Colorado School of Mines},
+ year = {2001}
+}
+
+ at ARTICLE{LeLi07,
+ author = {Joon Ho Lee and Qing Huo Liu},
+ title = {A {3-D} Spectral-Element Time-Domain Method for Electromagnetic Simulation},
+ journal = {IEEE Transactions on Microwave Theory and Techniques},
+ year = {2007},
+ volume = {55},
+ pages = {983-991},
+ number = {5},
+ doi = {10.1109/TMTT.2007.895398}
+}
+
+ at ARTICLE{LeLi05,
+ author = {Joon Ho Lee and Qing Huo Liu},
+ title = {An efficient {3-D} spectral element method for {S}chr\"odinger equation
+ in nanodevice simulation},
+ journal = {IEEE Transactions on Computer-Aided Design of Integrated Circuits
+ and Systems},
+ year = {2005},
+ volume = {24},
+ pages = {1848-1858},
+ number = {12}
+}
+
+ at ARTICLE{LeChLiKoHuTr08,
+ author = {Shiann-Jong Lee and How-Wei Chen and Qinya Liu and Dimitri Komatitsch
+ and Bor-Shouh Huang and Jeroen Tromp},
+ title = {Three-Dimensional Simulations of Seismic-Wave Propagation in the
+ {T}aipei Basin with Realistic Topography Based upon the Spectral-Element
+ Method},
+ journal = bssa,
+ year = {2008},
+ note = {in press.}
+}
+
+ at BOOK{LeCh85,
+ title = {M\'ecanique des mat\'eriaux solides},
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+}
+
+ at ARTICLE{Lem88,
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+ journal = {Journal de Math\'ematiques Pures et Appliqu\'ees},
+ year = {1988},
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+}
+
+ at BOOK{Les97,
+ title = {Turbulence in fluids},
+ publisher = {Kluwer Academic Publishers},
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+}
+
+ at ARTICLE{LeNiLeCh06,
+ author = {Alan Levander and Fenglin Niu and Cin-Ty A. Lee and Xin Cheng},
+ title = {Imag(in)ing the continental lithosphere},
+ journal = {Tectonophysics},
+ year = {2006},
+ volume = {416},
+ pages = {167-185},
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+ doi = {10.1016/j.tecto.2005.11.018}
+}
+
+ at INCOLLECTION{LeNiSy05,
+ author = {A. Levander and F. Niu and W. W. Symes},
+ title = {Imaging teleseismic {P} to {S} scattered waves using the {K}irchhoff
+ integral},
+ booktitle = {Seismic Earth: Array Analysis of Broadband Seismograms},
+ publisher = {American Geophysical Union},
+ year = {2005},
+ editor = {Alan Levander and Guust Nolet},
+ volume = {157},
+ series = {Geophysical Monograph},
+ pages = {149-170},
+ address = {Washington DC, USA}
+}
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+ at ARTICLE{Lev88,
+ author = {A. R. Levander},
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+ journal = geophysics,
+ year = {1988},
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+}
+
+ at ARTICLE{LeDaMaEaVe00,
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+ Vernon},
+ title = {Crustal thickness of the {P}eninsular {R}anges, southern {C}alifornia,
+ from teleseismic receiver functions},
+ journal = {Geology},
+ year = {2000},
+ volume = {28},
+ pages = {303--306}
+}
+
+ at INPROCEEDINGS{LiBiGa92,
+ author = {X. Li and J. Bielak and O. Ghattas},
+ title = {Three-dimensional earthquake response on a {CM}2},
+ booktitle = {Proc. 10th World Conf. Earthquake Eng.},
+ year = {1992},
+ pages = {959-964},
+ note = {Madrid, Spain}
+}
+
+ at ARTICLE{LiRo95,
+ author = {X. D. Li and B. Romanowicz},
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+ cross--branch modal coupling},
+ journal = gji,
+ year = {1995},
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+}
+
+ at ARTICLE{LiTa93,
+ author = {X. D. Li and T. Tanimoto},
+ title = {Waveforms of long-period body waves in a slightly aspherical {E}arth
+ model},
+ journal = gji,
+ year = {1993},
+ volume = {112},
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+}
+
+ at INCOLLECTION{LiPeTc92,
+ author = {J. Liandrat and V. Perrier and P. Tchamitchian},
+ title = {Numerical resolution of Nonlinear Partial Differential Equations
+ using the Wavelet approach},
+ booktitle = {Wavelets and their Applications},
+ publisher = {Edited by Ruskai, Jones and Barlett},
+ year = {1992},
+ address = {New York}
+}
+
+ at ARTICLE{LiAnKa76,
+ author = {H. P. Liu and D. L. Anderson and H. Kanamori},
+ title = {Velocity dispersion due to anelasticity: implications for seismology
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+}
+
+ at ARTICLE{LiPoKoTr04,
+ author = {Qinya Liu and Jascha Polet and Dimitri Komatitsch and Jeroen Tromp},
+ title = {Spectral-element moment-tensor inversions for earthquakes in {S}outhern
+ {C}alifornia},
+ journal = bssa,
+ year = {2004},
+ volume = {94},
+ pages = {1748-1761},
+ number = {5},
+ doi = {10.1785/012004038}
+}
+
+ at ARTICLE{LiTa97,
+ author = {Q. Liu and J. Tao},
+ title = {The perfectly matched layer for acoustic waves in absorptive media},
+ journal = jasa,
+ year = {1997},
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+ number = {4}
+}
+
+ at ARTICLE{LiTr08,
+ author = {Q. Liu and J. Tromp},
+ title = {Finite-frequency sensitivity kernels for global seismic wave propagation
+ based upon adjoint methods},
+ journal = gji,
+ year = {2008},
+ note = {submitted}
+}
+
+ at ARTICLE{LiTr06,
+ author = {Qinya Liu and Jeroen Tromp},
+ title = {Finite-Frequency Kernels Based on Adjoint Methods},
+ journal = bssa,
+ year = {2006},
+ volume = {96},
+ pages = {2383-2397},
+ number = {6},
+ doi = {10.1785/0120060041}
+}
+
+ at ARTICLE{Lo91,
+ author = {P. Lognonn\'{e}},
+ title = {Normal modes and seismograms in an anelastic rotating {E}arth},
+ journal = jgr,
+ year = {1991},
+ volume = {91},
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+}
+
+ at ARTICLE{LoRo90,
+ author = {P. Lognonn\'{e} and B. Romanowicz},
+ title = {Modeling of coupled normal modes of the {E}arth: the spectral method},
+ journal = gji,
+ year = {1990},
+ volume = {102},
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+}
+
+ at ARTICLE{loperlay1995,
+ author = {D. E. Loper and T. Lay},
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+ journal = {Journal of Geophysical Research-Solid Earth},
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+}
+
+ at BOOK{Lov11,
+ title = {Some problems of geodynamics},
+ publisher = {Cambridge University Press},
+ year = {1911},
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+}
+
+ at ARTICLE{LuPaXu05,
+ author = {Jing Lu and Jie Pan and Boling Xu},
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+ media using acoustical wave propagator with mapped pseudospectral
+ method},
+ journal = jasa,
+ year = {2005},
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+}
+
+ at BOOK{Lub90,
+ title = {Plasticity theory},
+ publisher = {Macmillan Publishing Company},
+ year = {1990},
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+ address = {New York}
+}
+
+ at ARTICLE{LuBa95,
+ author = {J. E. Luco and F. C. P. de Barros},
+ title = {Three-dimensional response of a layered valley embedded in a layered
+ half-space},
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+ volume = {24},
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+}
+
+ at BOOK{LuPi96,
+ title = {Introduction au calcul scientifique},
+ publisher = {Masson},
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+ address = {Paris}
+}
+
+ at ARTICLE{LuHu92,
+ author = {R. J. Luebbers and F. Hunsberger},
+ title = {{FDTD} for {N}th-Order Dispersive Media},
+ journal = {IEEE Transactions on Antennas and Propagation},
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+}
+
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+ journal = grl,
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+}
+
+ at INCOLLECTION{LuHo87,
+ author = {B. P. Luyendyk and J. S. Hornafius},
+ title = {Neogene crustal rotations, fault slip and basin development in southern
+ {C}alifornia},
+ booktitle = {Cenozoic basin development of coastal {C}alifornia},
+ publisher = {Prentice-Hall},
+ year = {1987},
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+ Ortiz-Alem\'an},
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+ basin (southern {S}pain) up to 1.335~{H}z under incident plane waves},
+ journal = gji,
+ year = {2004},
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+}
+
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+ and A. M. Posadas and J. M. Garc{\'\i}a and J. Mart{\'\i}n and M.
+ D. Romacho and M. Navarro},
+ title = {Diffraction of {{\it P}}, {{\it S}} and {R}ayleigh waves by three-dimensional
+ topographies},
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+ year = {1997},
+ volume = {129},
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+}
+
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+ author = {J. Lyness and R. Cools},
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+}
+
+ at INCOLLECTION{LyDr72,
+ author = {J. Lysmer and L. A. Drake},
+ title = {A finite element method for seismology},
+ booktitle = {Methods in Computational Physics},
+ publisher = {Academic Press},
+ year = {1972},
+ volume = {11},
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+}
+
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+ journal = {J. Eng. Mech. Div. ASCE 95 EM},
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+}
+
+ at ARTICLE{dehoop2000,
+ author = {M. V. De Hoop, J. H. Le Rousseau and R. S. Wu},
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+ of acoustic waves},
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+}
+
+ at ARTICLE{Mul85,
+ author = {G. M\"{u}ller},
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+}
+
+ at ARTICLE{MeRo00,
+ author = {Charles M\'{e}gnin and Barabara Romanowicz},
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+ of body, surface and higher modes wave forms},
+ journal = gji,
+ year = {2000},
+ volume = {143},
+ pages = {709-728}
+}
+
+ at ARTICLE{MaLi06,
+ author = {Shuo Ma and Pengcheng Liu},
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+ Intrinsic Attenuation in Explicit Finite-Element Methods},
+ journal = bssa,
+ year = {2006},
+ volume = {96},
+ pages = {1779-1794},
+ number = {5},
+ doi = {10.1785/0120050219}
+}
+
+ at INCOLLECTION{Mad83,
+ author = {R. Madariaga},
+ title = {Earthquake source theory: a review},
+ booktitle = {Earthquakes, Observation Theory and Interpretation},
+ publisher = {North-Holland},
+ year = {1983},
+ editor = {H. Kanamori and E. Boschi},
+ address = {Amsterdam},
+ note = {The Enrico Fermi Summer School of Physics, 55th course}
+}
+
+ at ARTICLE{Mad87,
+ author = {R. Madariaga},
+ title = {Seismology, theoretical},
+ journal = {Encyclopedia of Physical Science and Technology},
+ year = {1987},
+ volume = {12},
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+}
+
+ at ARTICLE{Mad76,
+ author = {R. Madariaga},
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+
+ at ARTICLE{MaMePaRo93,
+ author = {Y. Maday and D. Meiron and A. T. Patera and E. M. R{\o}nquist},
+ title = {Analysis of Iterative Methods for the Steady and Unsteady {S}tokes
+ Problem: Application to {S}pectral {E}lement Discretizations},
+ journal = {SIAM J. Sci. Stat. Comput.},
+ year = {1993},
+ volume = {14},
+ pages = {310-337}
+}
+
+ at INPROCEEDINGS{MaPa89,
+ author = {Y. Maday and A. T. Patera},
+ title = {Spectral element methods for the incompressible {N}avier-{S}tokes
+ equations},
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+}
+
+ at ARTICLE{MaQu82,
+ author = {Y. Maday and A. Quarteroni},
+ title = {Approximation of {B}urgers equation by pseudospectral methods},
+ journal = {RAIRO Anal. Numer.},
+ year = {1982},
+ volume = {16},
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+}
+
+ at ARTICLE{MaRo90,
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+ year = {1990},
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+}
+
+ at ARTICLE{MaDaClGr2000,
+ author = {H. Magistrale and S. Day and R. W. Clayton and R. Graves},
+ title = {The {SCEC} {S}outhern {C}alifornia reference three-dimensional seismic
+ velocity model version~2},
+ journal = bssa,
+ year = {2000},
+ volume = {90},
+ pages = {S65--S76}
+}
+
+ at ARTICLE{MaMcDa96,
+ author = {H. Magistrale and K. McLaughlin and S. Day},
+ title = {A geology based 3-{D} velocity model of the {L}os {A}ngeles basin
+ sediments},
+ journal = bssa,
+ year = {1996},
+ volume = {86},
+ pages = {1161--1166}
+}
+
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+ author = {S. A. Magnier and P. Mora and A. Tarantola},
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+ journal = geophysics,
+ year = {1994},
+ volume = {59},
+ pages = {1435-1443}
+}
+
+ at ARTICLE{Mah90,
+ author = {K. D. Mahrer},
+ title = {Numerical time step instability and {S}tacey's and {C}layton-{E}ngquist's
+ absorbing boundary conditions},
+ journal = bssa,
+ year = {1990},
+ volume = {80},
+ pages = {213-217}
+}
+
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+ author = {A. K. Mal and L. Knopoff},
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+ year = {1966},
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+}
+
+ at ARTICLE{Mal89,
+ author = {S. G. Mallat},
+ title = {Multiresolution approximation and wavelet orthonormal bases of ${L}^2({R})$},
+ journal = {Transactions of the AMS},
+ year = {1989},
+ volume = {135},
+ pages = {9999998-9999999}
+}
+
+ at ARTICLE{Mal88,
+ author = {S. G. Mallat},
+ title = {A theory for multiresolution signal decomposition: the wavelet representation},
+ journal = {Communications in Pure and Applied Mathematics},
+ year = {1988},
+ volume = {41},
+ pages = {9999998-9999999}
+}
+
+ at ARTICLE{Mal97,
+ author = {J. L. Mallet},
+ title = {Discrete modeling for natural objects},
+ journal = {Math. Geol.},
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+ volume = {29},
+ pages = {199-219}
+}
+
+ at ARTICLE{Mal92,
+ author = {J. L. Mallet},
+ title = {Discrete smooth interpolation in geometric modeling},
+ journal = {Computer-Aided Design},
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+
+ at BOOK{MaBe88,
+ title = {Boundary element methods in elastodynamics},
+ publisher = {Umwin Hyman},
+ year = {1988},
+ author = {G. Manolis and D. E. Beskos},
+ address = {London}
+}
+
+ at ARTICLE{MaOl03,
+ author = {Carey Marcinkovich and Kim Bak Olsen},
+ title = {On the implementation of perfectly matched layers in a three-dimensional
+ fourth-order velocity-stress finite difference scheme},
+ journal = jgr,
+ year = {2003},
+ volume = {108},
+ pages = {2276},
+ number = {B5},
+ doi = {10.1029/2002JB002235}
+}
+
+ at ARTICLE{Mar84,
+ author = {K. J. Marfurt},
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+ scalar and elastic wave equation},
+ journal = geophysics,
+ year = {1984},
+ volume = {49},
+ pages = {533-549},
+ number = {5}
+}
+
+ at ARTICLE{MaGu69,
+ author = {L. Martel and S. K. Gupta},
+ title = {{\`A} propos des ondes de {R}ayleigh sur une surface courbe},
+ journal = {Ann. G\'eophys.},
+ year = {1969},
+ volume = {25},
+ pages = {973-979},
+ number = {4}
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+
+ at ARTICLE{MaKo06,
+ author = {Roland Martin and Dimitri Komatitsch},
+ title = {An optimized Convolution-Perfectly Matched Layer {(C-PML)} absorbing
+ technique for {3D} seismic wave simulation based on a finite-difference
+ method},
+ journal = {Geophysical Research Abstracts},
+ year = {2006},
+ volume = {8},
+ pages = {03988},
+ month = {April},
+ note = {Abstract EGU06-A-03988, http://www.cosis.net/abstracts/EGU06/03988/EGU06-J-03988-1.pdf}
+}
+
+ at ARTICLE{MaKoBa05,
+ author = {Roland Martin and Dimitri Komatitsch and H\'el\`ene Barucq},
+ title = {An optimized Convolution-Perfectly Matched Layer {(C-PML)} absorbing
+ technique for {3D} seismic wave simulation based on a finite-difference
+ method},
+ journal = {Eos Trans. AGU},
+ year = {2005},
+ volume = {86},
+ pages = {Fall Meet. Suppl., Abstract NG43B-0574},
+ number = {52},
+ month = {December},
+ note = {http://www.agu.org/meetings/fm05/waisfm05.html}
+}
+
+ at ARTICLE{MaPr07,
+ author = {Y. J. Masson and S. R. Pride},
+ title = {Poroelastic finite-difference modeling of seismic attenuation and
+ dispersion due to mesoscopic-scale heterogeneity},
+ journal = jgr,
+ year = {2007},
+ volume = {112},
+ pages = {B03204},
+ number = {B3},
+ doi = {10.1029/2006JB004592}
+}
+
+ at ARTICLE{Masson2006,
+ author = {Y. J. Masson and S. R. Pride and K. T. Nihei},
+ title = {Finite-difference modelling of {B}iot's poroelastic equations at
+ seismic frequencies},
+ journal = jgr,
+ year = {2006},
+ volume = {111},
+ pages = {B10305},
+ doi = {10.1029/2006JB004366}
+}
+
+ at ARTICLE{MaFe98,
+ author = {D. Massonnet and Kurt L. Feigl},
+ title = {Radar interferometry and its application to changes in the {E}arth's
+ surface},
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+ year = {1998},
+ volume = {36},
+ pages = {441--500}
+}
+
+ at BOOK{Mcc57,
+ title = {Applications of tensor analysis},
+ publisher = {Dover Publications},
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+ author = {A. J. McConnell},
+ address = {New York}
+}
+
+ at ARTICLE{McC60,
+ author = {T. H. McCulloh},
+ title = {Gravity variations and the geology of the {L}os {A}ngeles basin of
+ {C}alifornia},
+ journal = {U.S. Geological Survey Professional Paper},
+ year = {1960},
+ volume = {400-B},
+ pages = {320-325}
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+ author = {A. McGarr and L. E. Alsop},
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+ journal = jgr,
+ year = {1967},
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+
+ at ARTICLE{McBaDaShSt92,
+ author = {K. L. McLaughlin and T. G. Barker and S. M. Day and B. Shkoller and
+ J. L. Stevens},
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+ waves: 3{D} numerical simulations},
+ journal = gji,
+ year = {1992},
+ volume = {111},
+ pages = {291--308}
+}
+
+ at ARTICLE{McDa94,
+ author = {K. L. McLaughlin and S. M. Day},
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+ journal = {Computers in Physics},
+ year = {1994},
+ volume = {8},
+ pages = {656-663},
+ number = {6}
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+
+ at ARTICLE{McJi88,
+ author = {K. L. McLaughlin and R. S. Jih},
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+ and numerical simulations},
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+ year = {1988},
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+ using unstructured triangular grids},
+ journal = gji,
+ year = {2005},
+ note = {submitted.}
+}
+
+ at TECHREPORT{Top500,
+ author = {H. W. Meuer and E. Strohmaier and J. J. Dongarra and H. D. Simon},
+ title = {Top500 list of Supercomputer Sites},
+ institution = {University of Mannheim},
+ year = {2002},
+ address = {Mannheim, Germany},
+ note = {{{\tt www.top500.org}}}
+}
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+ at ARTICLE{Mey92,
+ author = {Y. Meyer},
+ title = {Ondelettes sur l'intervalle},
+ journal = {Rev. Math. Iberoamericana},
+ year = {1992},
+ volume = {7},
+ pages = {9999998-9999999}
+}
+
+ at BOOK{Mey90,
+ title = {Ondelettes et op\'erateurs},
+ publisher = {Hermann},
+ year = {1990},
+ author = {Y. Meyer},
+ address = {Paris}
+}
+
+ at TECHREPORT{Mey87,
+ author = {Y. Meyer},
+ title = {Ondelettes, fonctions splines et analyses gradu\'ees},
+ institution = {Ceremade 8703},
+ year = {1987},
+ address = {Universit\'e Paris Dauphine}
+}
+
+ at ARTICLE{Min02,
+ author = {Susan E. Minkoff},
+ title = {Spatial Parallelism of a 3{D} Finite-Difference Velocity-Stress Elastic
+ Wave Propagation Code},
+ journal = {SIAM Journal on Scientific Computing},
+ year = {2002},
+ volume = {24},
+ pages = {1-19},
+ number = {1},
+ doi = {10.1137/S1064827501390960},
+ publisher = {SIAM}
+}
+
+ at ARTICLE{MiPe91,
+ author = {J. X. Mitrovica and W. R. Peltier},
+ title = {A complete formalism for the inversion of post-glacial rebound data:
+ resolving power analysis},
+ journal = gji,
+ year = {1991},
+ volume = {104},
+ pages = {267-288}
+}
+
+ at ARTICLE{Moc89,
+ author = {P. Moczo},
+ title = {Finite-difference technique for {{\it SH}} waves in 2-{D} media using
+ irregular grids, application to the seismic response problem},
+ journal = gji,
+ year = {1989},
+ volume = {99},
+ pages = {321-329}
+}
+
+ at ARTICLE{MoByKrCaBo97,
+ author = {P. Moczo and E. Bystrick{\'y} and J. Kristek and J. M. Carcione and
+ M. Bouchon},
+ title = {Hybrid modeling of {{\it P-SV}} seismic motion at inhomogeneous viscoelastic
+ topographic structures },
+ journal = bssa,
+ year = {1997},
+ volume = {87},
+ pages = {1305-1323}
+}
+
+ at ARTICLE{MoKrBy01,
+ author = {P. Moczo and J. Kristek and E. Bystrick{\'y}},
+ title = {Efficiency and optimization of the {3-D} finite-difference modeling
+ of seismic ground motion},
+ journal = jca,
+ year = {2001},
+ volume = {9},
+ pages = {593-609},
+ number = {2}
+}
+
+ at ARTICLE{MoKrHa2000,
+ author = {P. Moczo and J. Kristek and L. Halada},
+ title = {3-{D} fourth-order staggered-grid finite-difference schemes: stability
+ and grid dispersion},
+ journal = bssa,
+ year = {2000},
+ volume = {90},
+ pages = {587-603},
+ number = {3},
+ doi = {10.1785/0119990119}
+}
+
+ at INCOLLECTION{MoRoEi07,
+ author = {P. Moczo and J. Robertsson and L. Eisner},
+ title = {The Finite-difference Time-domain method for Modeling of Seismic
+ Wave Propagation},
+ booktitle = {Advances in Wave Propagation in Heterogeneous Media},
+ publisher = {Elsevier - Academic Press},
+ year = {2007},
+ editor = {Ru-Shan Wu and Val\'erie Maupin},
+ volume = {48},
+ series = {Advances in Geophysics},
+ chapter = {8},
+ pages = {421-516}
+}
+
+ at PHDTHESIS{Mod86,
+ author = {H. Modaressi},
+ title = {Mod\'elisation par \'el\'ements finis de la propagation des ondes
+ en milieu poreux satur\'e, application au g\'enie parasismique},
+ school = {\'Ecole Centrale de Paris},
+ year = {1986},
+ address = {Paris}
+}
+
+ at ARTICLE{MoBe94,
+ author = {H. Modaressi and I. Benzenati},
+ title = {Paraxial approximation for poroelastic media},
+ journal = {Soil Dyn. Earth. Eng.},
+ year = {1994},
+ volume = {13},
+ pages = {117-129}
+}
+
+ at ARTICLE{montagner1998,
+ author = {J.-P. Montagner},
+ title = {Where can seismic anisotropy be detected in the {E}arth's mantle?
+ In boundary layers \ldots},
+ journal = pageoph,
+ year = {1998},
+ volume = {151},
+ pages = {223--256}
+}
+
+ at ARTICLE{montagner2002,
+ author = {J. P. Montagner},
+ title = {Upper mantle low anisotropy channels below the {P}acific {P}late},
+ journal = {Earth Planet. Sci. Lett.},
+ year = {2002},
+ volume = {202},
+ pages = {263--274}
+}
+
+ at ARTICLE{MoLaMa98,
+ author = {W. Mooney and G. Laske and G. Masters},
+ title = {Crust 5.1: a global crustal model at $5 \times 5$ degrees},
+ journal = jgr,
+ year = {1998},
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+}
+
+ at ARTICLE{MoDr89,
+ author = {T. K. Mossessian and M. Dravinski},
+ title = {Scattering of elastic waves by three-dimensional surface topographies},
+ journal = {Wave Motion},
+ year = {1989},
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+}
+
+ at ARTICLE{MuDeEtNi92,
+ author = {F. Muir and J. Dellinger and J. Etgen and D. Nichols},
+ title = {Modelling elastic fields across irregular boundaries},
+ journal = geophysics,
+ year = {1992},
+ volume = {57},
+ pages = {1189-1193},
+ number = {9}
+}
+
+ at ARTICLE{MuBe82,
+ author = {Robert Mullen and Ted Belytschko},
+ title = {Dispersion analysis of finite element semidiscretizations of the
+ two-dimensional wave equation},
+ journal = ijnme,
+ year = {1982},
+ volume = {18},
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+}
+
+ at TECHREPORT{NaDa92,
+ author = {J. Namson and T. L. Davis},
+ title = {Late {C}enozoic thrust ramps of Southern {C}alifornia},
+ institution = {Davis \& Namson Consulting Geologists},
+ year = {1992},
+ address = {Valencia, California, USA},
+ note = {unpublished report}
+}
+
+ at ARTICLE{nataf2000,
+ author = {H.-C. Nataf},
+ title = {Seismic imaging of mantle plumes},
+ journal = {Annual Review of Earth and Planetary Sciences},
+ year = {2000},
+ volume = {28},
+ pages = {391--417}
+}
+
+ at ARTICLE{NaNeHu02,
+ author = {I. M. Navon and B. Neta and M. Y. Hussaini},
+ title = {A {P}erfectly {M}atched {L}ayer formulation for the nonlinear shallow
+ water equation models: the split equation approach},
+ journal = {Monthly Weather Review},
+ year = {2002},
+ volume = {9999999},
+ pages = {9999998-9999999},
+ note = {in press.}
+}
+
+ at BOOK{jn,
+ title = {Les m\'ethodes directes en th\'eorie des \'equations elliptiques},
+ publisher = {Masson},
+ year = {1967},
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+}
+
+ at INPROCEEDINGS{New59,
+ author = {N. M. Newmark},
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+ booktitle = {Engineering mechanics division: Proceedings of the American Society
+ of Civil Engineers},
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+}
+
+ at ARTICLE{nietal2000,
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+ journal = gji,
+ year = {2000},
+ volume = {140},
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+}
+
+ at ARTICLE{nietal2002,
+ author = {S. D. Ni and E. Tan and M. Gurnis and D. V. Helmberger},
+ title = {Sharp sides to the African superplume},
+ journal = {Science},
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+}
+
+ at ARTICLE{Nicetal2002,
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+ title = {Creusement et remplissage de la vall\'ee de l'{I}s\`ere au {Q}uaternaire
+ r\'ecent: apports nouveaux du forage {GMB}1 (1999) dans la r\'egion
+ de {G}renoble ({F}rance)},
+ journal = {G\'eologie de la France},
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+ volume = {4},
+ pages = {39-49}
+}
+
+ at ARTICLE{NiIfBeSk94,
+ author = {P. Nielsen and F. If and P. Berg and O. Skovgaard},
+ title = {Using the pseudospectral technique on curved grids for 2{D} acoustic
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+ journal = gp,
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+}
+
+ at ARTICLE{NiSk90,
+ author = {P. Nielsen and O. Skovgaard},
+ title = {The effect of using non-orthogonal boundary-fitted grids for solving
+ the shallow water equations},
+ journal = {Int. J. Num. Meth. Fluids},
+ year = {1990},
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+}
+
+ at INCOLLECTION{nirenberg72,
+ author = {L. Nirenberg},
+ title = {Lectures on Linear Partial Differential Equations},
+ booktitle = {Reg. Conf. Ser. in Math. n 17},
+ publisher = {A.M.S. Providence},
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+}
+
+ at ARTICLE{NiDaFo07,
+ author = {Tarje Nissen-Meyer and F. A. Dahlen and Alexandre Fournier},
+ title = {Spherical-earth {F}r\'echet sensitivity kernels},
+ journal = gji,
+ year = {2007},
+ volume = {168},
+ pages = {1051-1066},
+ number = {3},
+ doi = {10.1111/j.1365-246X.2006.03123.x}
+}
+
+ at ARTICLE{NiFoDa07,
+ author = {Tarje Nissen-Meyer and Alexandre Fournier and F. A. Dahlen},
+ title = {A two-dimensional spectral-element method for computing spherical-earth
+ seismograms - {I. M}oment-tensor source},
+ journal = gji,
+ year = {2007},
+ volume = {168},
+ pages = {1067-1092},
+ number = {3},
+ doi = {10.1111/j.1365-246X.2006.03121.x}
+}
+
+ at TECHREPORT{Etopo5,
+ author = {NOAA},
+ title = {National {O}ceanic and {A}tmospheric {A}dministration {(NOAA)} Product
+ Information Catalog - {ETOPO5} {E}arth {T}opography 5-minute digital
+ model},
+ institution = {U.S. Department of Commerce},
+ year = {1988},
+ address = {Washington, D.C.},
+ note = {171 pages}
+}
+
+ at ARTICLE{noletdahlen2000,
+ author = {G. Nolet and F. A. Dahlen},
+ title = {Wavefront healing and the evolution of seismic delay times},
+ journal = jgr,
+ year = {2000},
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+}
+
+ at ARTICLE{OhCh97,
+ author = {T. Ohminato and B. A. Chouet},
+ title = {A free-surface boundary condition for including 3{D} topography in
+ the finite difference method},
+ journal = bssa,
+ year = {1997},
+ volume = {87},
+ pages = {494-515}
+}
+
+ at ARTICLE{OhKoMi92,
+ author = {M. Ohori and K. Koketsu and T. Minomi},
+ title = {Seismic response of three dimensional sediment filled valleys due
+ to incident plane waves},
+ journal = {J. Phys. Earthquake},
+ year = {1992},
+ volume = {40},
+ pages = {209-222}
+}
+
+ at ARTICLE{OhHa83,
+ author = {A. Ohtsuki and K. Harumi},
+ title = {Effects of topography and subsurface inhomogeneities on seismic {{\it
+ SV}} waves},
+ journal = {Earth. Engrg. Structl. Dyn.},
+ year = {1983},
+ volume = {11},
+ pages = {441-462}
+}
+
+ at ARTICLE{Ols2000,
+ author = {K. B. Olsen},
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+ modeling of ground motion},
+ journal = bssa,
+ year = {2000},
+ volume = {90},
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+}
+
+ at ARTICLE{OlAkRoMaMa06,
+ author = {K. B. Olsen and A. Akinci and A. Rovelli and F. Marra and L. Malagnini},
+ title = {3{D} Ground-Motion Estimation in {R}ome, {I}taly},
+ journal = bssa,
+ year = {2006},
+ volume = {96},
+ pages = {133-146},
+ number = {1},
+ doi = {10.1785/0120030243}
+}
+
+ at ARTICLE{OlAr96,
+ author = {K. B. Olsen and R. J. Archuleta},
+ title = {3-{D} simulation of earthquakes on the {L}os {A}ngeles fault system},
+ journal = bssa,
+ year = {1996},
+ volume = {86},
+ pages = {575-596},
+ number = {3}
+}
+
+ at ARTICLE{OlDaBr03,
+ author = {K. B. Olsen and S. M. Day and C. R. Bradley},
+ title = {Estimation of {$Q$} for long-period (>2 sec) waves in the {L}os {A}ngeles
+ basin},
+ journal = bssa,
+ year = {2003},
+ volume = {93},
+ pages = {627-638},
+ number = {2}
+}
+
+ at ARTICLE{OlDaMiCuChFaMoMaJo06,
+ author = {K. B. Olsen and S. M. Day and J. B. Minster and Y. Cui and A. Chourasia
+ and M. Faerman and R. Moore and P. Maechling and T. Jordan},
+ title = {Strong shaking in {L}os {A}ngeles expected from southern {S}an {A}ndreas
+ earthquake},
+ journal = grl,
+ year = {2006},
+ volume = {33},
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+ doi = {10.1029/2005GL025472}
+}
+
+ at ARTICLE{OlMaAr97,
+ author = {K. B. Olsen and R. Madariaga and R. J. Archuleta},
+ title = {Three-dimensional dynamic simulation of the 1992 {L}anders earthquake},
+ journal = {Science},
+ year = {1997},
+ volume = {278},
+ pages = {834-838}
+}
+
+ at ARTICLE{OlPeSc95,
+ author = {K. B. Olsen and J. C. Pechmann and G. T. Schuster},
+ title = {Simulation of 3-{D} elastic wave propagation in the {S}alt {L}ake
+ basin},
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+ year = {1995},
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+ at ARTICLE{Ors80,
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+ journal = jcp,
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+ at ARTICLE{OsSe88,
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+ on {H}amilton-{J}acobi formulations},
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+ at ARTICLE{Ott71,
+ author = {M. Ottaviani},
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+ year = {1971},
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+
+ at BOOK{Pac97,
+ title = {Parallel programming with {MPI}},
+ publisher = {Morgan Kaufmann Press},
+ year = {1997},
+ author = {P. S. Pacheco},
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+}
+
+ at ARTICLE{Page1995,
+ author = {R. A. Page and G. Plafker and H. Pulpan},
+ title = {Block rotation in east-central {A}laska: a framework for evaluating
+ earthquake potential?},
+ journal = {Geology},
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+}
+
+ at ARTICLE{PaFaMa99,
+ author = {R. Paolucci and E. Faccioli and F. Maggio},
+ title = {3{D} response analysis of an instrumented hill at {M}atsuzaki, {J}apan,
+ by a spectral method},
+ journal = {J. Seismol.},
+ year = {1999},
+ volume = {3},
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+}
+
+ at INPROCEEDINGS{PaPe94,
+ author = {A. S. Papageorgiou and D. Pei},
+ title = {3{D} response of cylindrical valleys of arbitrary cross-section to
+ seismic waves incident from any azimuthal direction},
+ booktitle = {Proceedings of the 5th U.S. National Conference on Earthquake Engineering},
+ year = {1994},
+ volume = {3},
+ pages = {45-54},
+ note = {Chicago, Illinois, July 1994}
+}
+
+ at ARTICLE{Pa86,
+ author = {J. Park},
+ title = {Synthetic seismograms from coupled free oscillations: the effects
+ of lateral structure and rotation},
+ journal = jgr,
+ year = {1986},
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+}
+
+ at ARTICLE{PaGi86,
+ author = {J. Park and F. Gilbert},
+ title = {Coupled free oscillations of an aspherical, dissipative, rotating
+ {E}arth: {G}alerkin theory},
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+ year = {1986},
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+ and Roult, G. and Clevede, E. and Laske, G. and Kanamori, H. and
+ Davis, P. and Berger, J. and Braitenberg, C. and Van Camp, M. and
+ Lei, X. and Sun, H.P. and Xu, H.Z. and Rosat, S.},
+ title = {Earth's free oscillations excited by the 26 {D}ecember 2004 {S}umatra-{A}ndaman
+ earthquake},
+ journal = {Science},
+ year = {2005},
+ volume = {3},
+ pages = {1139--1144},
+ number = {5725}
+}
+
+ at ARTICLE{PaYu92,
+ author = {J. Park and Y. Yu},
+ title = {Anisotropy and coupled free oscillations: simplified models and surface
+ wave observations},
+ journal = gji,
+ year = {1992},
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+}
+
+ at ARTICLE{PaFe80,
+ author = {K. C. Park and C. A. Felippa},
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+ accuracy analysis},
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+ year = {1980},
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+}
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+ at ARTICLE{PaRa04,
+ author = {Richard Pasquetti and Francesca Rapetti},
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+ year = {2004},
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+ number = {1},
+ note = {doi: 10.1016/j.jcp.2004.01.010},
+ doi = {10.1016/j.jcp.2004.01.010}
+}
+
+ at ARTICLE{Pat84,
+ author = {A. T. Patera},
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+ expansion},
+ journal = jcp,
+ year = {1984},
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+}
+
+ at INCOLLECTION{Pav05,
+ author = {G. L. Pavlis},
+ title = {Direct imaging of the coda of teleseismic {P} waves},
+ booktitle = {Seismic Earth: Array Analysis of Broadband Seismograms},
+ publisher = {American Geophysical Union},
+ year = {2005},
+ editor = {Alan Levander and Guust Nolet},
+ volume = {157},
+ series = {Geophysical Monograph},
+ pages = {171-186},
+ address = {Washington DC, USA}
+}
+
+ at BOOK{Pay83,
+ title = {Elastic wave propagation in transversely isotropic media},
+ publisher = {Martinus Nijhoff},
+ year = {1983},
+ author = {R. G. Payton},
+ address = {The Hague}
+}
+
+ at PHDTHESIS{Ped94,
+ author = {H. A. Pedersen},
+ title = {{\'E}tude de la diffraction tridimensionnelle des ondes sismiques
+ dans des structures \`a g\'eom\'etrie bidimensionnelle, d\'eveloppement
+ th\'eorique et applications},
+ school = {Universit\'e Joseph Fourier},
+ year = {1994},
+ address = {Grenoble}
+}
+
+ at ARTICLE{PeLeHaCaBa94,
+ author = {H. A. Pedersen and B. LeBrun and D. Hatzfeld and M. Campillo and
+ P.Y. Bard},
+ title = {Ground motion amplitude across ridges},
+ journal = bssa,
+ year = {1994},
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+}
+
+ at ARTICLE{PeSaCa94,
+ author = {H. A. Pedersen and F. J. S\'anchez-Sesma and M. Campillo},
+ title = {Three-dimensional scattering by two-dimensional topographies},
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+ year = {1994},
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+}
+
+ at ARTICLE{PeJoArSiFe03,
+ author = {R. Pedersen and S. J\'onsson and T. \'Arnad\'ottir and F. Sigmundsson
+ and K. L. Feigl},
+ title = {Fault slip distribution estimated from joint inversion of {InSAR}
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+ volume = {9999999},
+ pages = {999998-999999},
+ note = {submitted}
+}
+
+ at ARTICLE{pedersenetal2001,
+ author = {R. Pedersen and F. Sigmundsson and K. L. Feigl and T. \'Arnad\'ottir},
+ title = {Coseismic interferograms of two {M}s=6.6 earthquakes in the {S}outh
+ {I}celand {S}eismic {Z}one, {J}une 2000},
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+ year = {2001},
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+}
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+ author = {R. B. Pelz},
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+ journal = cmame,
+ year = {1990},
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+}
+
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+ author = {C. B. Peng and M. Nafi T\"oksoz},
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+}
+
+ at ARTICLE{PeBa89,
+ author = {V. Perrier and C. Basdevant},
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+}
+
+ at ARTICLE{PeOlMa2001,
+ author = {S. Peyrat and K. B. Olsen and R. Madariaga},
+ title = {Dynamic modeling of the 1992 {L}anders earthquake},
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+}
+
+ at ARTICLE{PhBu73,
+ author = {R. A. Phinney and R. Burridge},
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+ journal = gjras,
+ year = {1973},
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+
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+ author = {K. D. Phung},
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+}
+
+ at BOOK{Pil79,
+ title = {Elastic waves in the {E}arth},
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+}
+
+ at ARTICLE{PiKnSc64,
+ author = {W. L. Pilant and L. Knopoff and F. Schwab},
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+ {R}ayleigh waves (experimental)},
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+ at ARTICLE{PiIr96a,
+ author = {A. Pitarka and K. Irikura},
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+}
+
+ at ARTICLE{PiIr96b,
+ author = {A. Pitarka and K. Irikura},
+ title = {Basin structure effects on long period strong motions in the {S}an
+ {F}ernando valley and the {L}os {A}ngeles basin from the 1994 {N}orthridge
+ earthquake and aftershocks},
+ journal = bssa,
+ year = {1996},
+ volume = {86},
+ pages = {S126-S137},
+ number = {1B}
+}
+
+ at ARTICLE{PiIrIwKa96,
+ author = {A. Pitarka and K. Irikura and T. Iwata and T. Kagawa},
+ title = {Basin structure effects in the {K}obe area inferred from modelling
+ of ground motions from two aftershocks of the {J}anuary 17, 1995,
+ {H}yogo-ken {N}anbu earthquake},
+ journal = {J. Phys. Earth},
+ year = {1996},
+ volume = {44},
+ pages = {563-576}
+}
+
+ at ARTICLE{PiIrIw98,
+ author = {A. Pitarka and K. Irikura and T. Iwata and H. Sekiguchi},
+ title = {Three-dimensional simulation of the near-fault ground motion for
+ the 1995 {H}yogo-ken {N}anbu ({K}obe), {J}apan, earthquake},
+ journal = bssa,
+ year = {1998},
+ volume = {88},
+ pages = {428-440}
+}
+
+ at ARTICLE{PlSh88,
+ author = {B. J. Plohr and D. H. Sharp},
+ title = {A conservative {E}ulerian formulation of the equations for elastic
+ flow},
+ journal = {Advances in Applied Mathematics},
+ year = {1988},
+ volume = {9},
+ pages = {481-499}
+}
+
+ at ARTICLE{Poin00,
+ author = {T. Pointer and E. Liu and J. A. Hudson},
+ title = {Seismic wave propagation in cracked porous media},
+ journal = gji,
+ year = {2000},
+ volume = {141},
+ pages = {199--231}
+}
+
+ at ARTICLE{Poin98,
+ author = {T. Pointer and E. Liu and J. A. Hudson},
+ title = {Numerical modelling of seismic waves scattered by hydrofractures:
+ application of the indirect boundary method},
+ journal = gji,
+ year = {1998},
+ volume = {135},
+ pages = {289--303}
+}
+
+ at ARTICLE{PoWe91,
+ author = {D. J. Ponti and R. E. Wells},
+ title = {Off-fault ground ruptures in the {S}anta-{C}ruz mountains, {C}alifornia:
+ ridge-top spreading versus tectonic extension during the 1989 {L}oma
+ {P}rieta earthquake},
+ journal = bssa,
+ year = {1991},
+ volume = {81},
+ pages = {1480-1510}
+}
+
+ at PHDTHESIS{prat2005,
+ author = {F. Prat},
+ title = {Analyse du Generalized Screen Propagator},
+ school = {Universit\'{e} de Pau et des Pays de l'Adour},
+ year = {2005}
+}
+
+ at ARTICLE{Pra99,
+ author = {R. Gerhard Pratt},
+ title = {Seismic waveform inversion in the frequency domain, {P}art 1: Theory
+ and verification in a physical scale model},
+ journal = geophysics,
+ year = {1999},
+ volume = {64},
+ pages = {888-901},
+ number = {3}
+}
+
+ at ARTICLE{PrCh92,
+ author = {R. G. Pratt and C. Chapman},
+ title = {Traveltime tomography in anisotropic media -{II}: Application},
+ journal = gji,
+ year = {1992},
+ volume = {109},
+ pages = {20--37}
+}
+
+ at ARTICLE{PrShHi98,
+ author = {R. Gerhard Pratt and Changsoo Shin and G. J. Hicks},
+ title = {Gauss-{N}ewton and full {N}ewton methods in frequency-space seismic
+ waveform inversion},
+ journal = geophysics,
+ year = {1998},
+ volume = {133},
+ pages = {341-362},
+ number = {2},
+ doi = {10.1046/j.1365-246X.1998.00498.x}
+}
+
+ at ARTICLE{PrSh99,
+ author = {R. Gerhard Pratt and Richard M. Shipp},
+ title = {Seismic waveform inversion in the frequency domain, {P}art 2: Fault
+ delineation in sediments using crosshole data},
+ journal = geophysics,
+ year = {1999},
+ volume = {64},
+ pages = {902-914},
+ number = {3}
+}
+
+ at BOOK{PrTeWeFl94,
+ title = {Numerical recipes: the art of scientific computing},
+ publisher = {Cambridge University Press},
+ year = {1994},
+ author = {W.H. Press and S.A. Teukolsky and W.T. Vetterling and B.P. Flannery},
+ address = {Cambridge}
+}
+
+ at ARTICLE{Pride2004,
+ author = {S. R. Pride and J. G. Berryman and J. M. Harris},
+ title = {Seismic attenuation due to wave-induced flow},
+ journal = jgr,
+ year = {2004},
+ volume = {109},
+ pages = {681-693}
+}
+
+ at ARTICLE{PrCaSe94,
+ author = {E. Priolo and J. M. Carcione and G. Seriani},
+ title = {Numerical simulation of interface waves by high-order spectral modeling
+ techniques},
+ journal = jasa,
+ year = {1994},
+ volume = {95},
+ pages = {681-693},
+ number = {2}
+}
+
+ at ARTICLE{QiGe98,
+ author = {Q. Qi and T. L. Geers},
+ title = {Evaluation of the {P}erfectly {M}atched {L}ayer for computational
+ acoustics},
+ journal = jcp,
+ year = {1998},
+ volume = {139},
+ pages = {166--183},
+ number = {1}
+}
+
+ at ARTICLE{sympl1,
+ author = {Qin, M.-Z. and Chen, J.-B},
+ title = {Maslov asymptotic theory and symplectic algorithm},
+ journal = {Chinese J. Geophys.},
+ year = {2000},
+ volume = {43},
+ pages = {556-567},
+ number = {4}
+}
+
+ at ARTICLE{QuTaZa98,
+ author = {A. Quarteroni and A. Tagliani and E. Zampieri},
+ title = {Generalized {G}alerkin approximations of elastic waves with absorbing
+ boundary conditions},
+ journal = cmame,
+ year = {1998},
+ volume = {163},
+ pages = {323-341}
+}
+
+ at ARTICLE{Quiroga2005,
+ author = {G. Quiroga-Goode and S. Jim\'enez-Hern\'andez and M. A. P\'erez-Flores
+ and R. Padilla-Hern\'andez},
+ title = {Computational study of seismic waves in homogeneous dynamic-porosity
+ media with thermal and fluid relaxation: {G}auging {B}iot theory},
+ journal = jgr,
+ year = {2005},
+ volume = {110},
+ pages = {B07303},
+ doi = {10.1029/2004JB003347}
+}
+
+ at ARTICLE{RuRy00,
+ author = {G. R\"umpker and T. Ryberg},
+ title = {New "Fresnel-zone" estimates for shear-wave splitting observations
+ from finite-difference modeling},
+ journal = grl,
+ year = {2000},
+ volume = {27},
+ pages = {2005--2008}
+}
+
+ at ARTICLE{Rah04,
+ author = {A. N. Rahmouni},
+ title = {Un mod\`ele {PML} bien pos\'e pour l'\'elastodynamique anisotrope
+ ({A} well-posed {PML} model for anisotropic elastodynamics)},
+ journal = {C. R. Acad. Sci. Paris, Ser. I},
+ year = {2004},
+ volume = {338},
+ pages = {963-968}
+}
+
+ at PHDTHESIS{Rah00,
+ author = {A. N. Rahmouni},
+ title = {Des mod\`eles {PML} bien pos\'es pour divers probl\`emes hyperboliques
+ ({S}ome well-posed {PML} models for several hyperbolic problems)},
+ school = {University of Paris XIII, France},
+ year = {2000}
+}
+
+ at BOOK{Ray45,
+ title = {The theory of sound},
+ publisher = {Dover Publications},
+ year = {1945},
+ author = {L. J. W. S. Rayleigh},
+ address = {New York},
+ edition = {2nd}
+}
+
+ at ARTICLE{Ray10,
+ author = {L. J. W. S. Rayleigh},
+ title = {The problem of the whispering gallery},
+ journal = {Philosophical Magazine Ser. 6},
+ year = {1910},
+ volume = {20},
+ pages = {1001-1004}
+}
+
+ at ARTICLE{Ray87,
+ author = {Lord J. W. S. Rayleigh},
+ title = {On waves propagated along the plane surface of an elastic solid},
+ journal = {Proc. London Math. Soc.},
+ year = {1887},
+ volume = {17},
+ pages = {4-11}
+}
+
+ at ARTICLE{reidetal2001,
+ author = {F. J. L. Reid and J. H. Woodhouse and H. J. van Heijst},
+ title = {Upper mantle attenuation and velocity structure from measurements
+ of differential S phases},
+ journal = gji,
+ year = {2001},
+ volume = {145},
+ pages = {615--630}
+}
+
+ at ARTICLE{ReKoEdHs88,
+ author = {M. Reshef and D. Kosloff and M. Edwards and C. Hsiung},
+ title = {Three dimensional acoustic modeling by the {F}ourier method},
+ journal = geophysics,
+ year = {1988},
+ volume = {53},
+ pages = {1175-1183}
+}
+
+ at ARTICLE{Ria96,
+ author = {J. A. Rial},
+ title = {The anomalous seismic response of the ground at the {T}arzana {H}ill
+ site during the {N}orthridge 1994 {S}outhern {C}alifornia earthquake:
+ a resonant, sliding block?},
+ journal = bssa,
+ year = {1996},
+ volume = {86},
+ pages = {1714-1723}
+}
+
+ at ARTICLE{rial1978,
+ author = {J. A. Rial},
+ title = {On the focusing of seismic body waves at the epicenter's antipode},
+ journal = gjras,
+ year = {1978},
+ volume = {55},
+ pages = {737--743}
+}
+
+ at ARTICLE{rial&cormier1980,
+ author = {J. A. Rial and V. F. Cormier},
+ title = {Seismic waves at the epicenter's antipode},
+ journal = jgr,
+ year = {1980},
+ volume = {85},
+ pages = {2661--2668}
+}
+
+ at ARTICLE{Ric94,
+ author = {G. R. Richter},
+ title = {An explicit finite element method for the wave equation},
+ journal = {Appl. Num. Math.},
+ year = {1994},
+ volume = {16},
+ pages = {65-80}
+}
+
+ at PHDTHESIS{Rio97,
+ author = {Bruno Riollet},
+ title = {Simulation num\'erique de la propagation d'ondes sismiques en milieu
+ fractur\'e ({N}umerical simulation of wave propagation in media with
+ cracks)},
+ school = {Universit\'e Paris {\sc VII} Jussieu},
+ year = {1997},
+ address = {Paris}
+}
+
+ at ARTICLE{ritsemavanheijst2002,
+ author = {J. Ritsema and H. J. van Heijst},
+ title = {Constraints on the correlation of P- and S-wave velocity heterogeneity
+ in the mantle from P, PP, PPP, and PKPab traveltimes},
+ journal = gji,
+ year = {2002},
+ volume = {149},
+ pages = {482--489}
+}
+
+ at ARTICLE{RiRiKoTrHe02,
+ author = {J. Ritsema and L. A. Rivera and D. Komatitsch and J. Tromp and H.
+ J. van Heijst},
+ title = {{The effects of crust and mantle heterogeneity on PP/P and SS/S amplitude
+ ratios}},
+ journal = grl,
+ year = {2002},
+ volume = {29},
+ pages = {1430},
+ number = {10},
+ doi = {10.1029/2001GL013831}
+}
+
+ at ARTICLE{RiVa00,
+ author = {J. Ritsema and H. J. {Van Heijst}},
+ title = {Seismic imaging of structural heterogeneity in {E}arth's mantle:
+ Evidence for large-scale mantle flow},
+ journal = {Science Progress},
+ year = {2000},
+ volume = {83},
+ pages = {243-259}
+}
+
+ at ARTICLE{RiVaWo99,
+ author = {J. Ritsema and H. J. {Van Heijst} and J. H. Woodhouse},
+ title = {Complex shear velocity structure imaged beneath {A}frica and {I}celand},
+ journal = {Science},
+ year = {1999},
+ volume = {286},
+ pages = {1925-1928}
+}
+
+ at ARTICLE{ritzwollerlavely1995,
+ author = {M. H. Ritzwoller and E. M. Lavely},
+ title = {Three--dimensional models of the {E}arth's mantle},
+ journal = {Reviews of Geophysics},
+ year = {1995},
+ volume = {33},
+ pages = {1--66}
+}
+
+ at ARTICLE{Rob96,
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+ modeling in the presence of topography},
+ journal = geophysics,
+ year = {1996},
+ volume = {61},
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+}
+
+ at ARTICLE{RoBlSy94,
+ author = {J. O. A. Robertsson and J. O. Blanch and W. W. Symes},
+ title = {Viscoelastic finite-difference modeling},
+ journal = geophysics,
+ year = {1994},
+ volume = {59},
+ pages = {1444-1456}
+}
+
+ at ARTICLE{RoGe00,
+ author = {J. A. Roden and S. D. Gedney},
+ title = {Convolution {PML} ({CPML}): {A}n Efficient {FDTD} Implementation
+ of the {CFS}-{PML} for Arbitrary Media},
+ journal = {Microwave and Optical Technology Letters},
+ year = {2000},
+ volume = {27},
+ pages = {334-339},
+ number = {5},
+ doi = {10.1002/1098-2760(20001205)27:5<334::AID-MOP14>3.0.CO;2-A}
+}
+
+ at PHDTHESIS{Rod93,
+ author = {Dominique Rodrigues},
+ title = {Simulation de la propagation d'ondes sismiques sur machine massivement
+ parall\`ele},
+ school = {\'Ecole Centrale de Paris},
+ year = {1993},
+ address = {Paris}
+}
+
+ at INPROCEEDINGS{RoMo93,
+ author = {D. Rodrigues and P. Mora},
+ title = {Implementation of the free surface boundary condition in 2-{D} and
+ 3-{D} elastic cases},
+ booktitle = {Expanded abstracts of the Soc. Expl. Geophys.},
+ year = {1993},
+ pages = {215-217},
+ note = {63rd international meeting of the SEG}
+}
+
+ at INPROCEEDINGS{RoMo92,
+ author = {D. Rodrigues and P. Mora},
+ title = {Analysis of a finite difference solution to 3-{D} elastic wave propagation},
+ booktitle = {Expanded abstracts of the Soc. Expl. Geophys.},
+ year = {1992},
+ pages = {1247-1250},
+ note = {62nd international meeting of the SEG}
+}
+
+ at ARTICLE{RoVaHelene,
+ author = {A. A. Rodriguez and A. Valli},
+ title = {Domain Decomposition Algorithms for Time-harmonic {M}axwell Equations
+ with Damping},
+ journal = {Math Model. Numer. Anal.},
+ year = {2001},
+ volume = {35},
+ pages = {825--848},
+ number = {4},
+ note = {ESAIM-M2AN}
+}
+
+ at ARTICLE{romanowicz1998,
+ author = {B. Romanowicz},
+ title = {Attenuation tomography of the {E}arth's mantle: a review of current
+ status},
+ journal = pageoph,
+ year = {1998},
+ volume = {153},
+ pages = {257--272}
+}
+
+ at ARTICLE{romanowiczgung2002,
+ author = {B. Romanowicz and Y. C. Gung},
+ title = {Superplumes from the core-mantle boundary to the lithosphere: implications
+ for heat flux},
+ journal = {Science},
+ year = {2002},
+ volume = {296},
+ pages = {513--516}
+}
+
+ at ARTICLE{RoIaPa96,
+ author = {C. Ronchi and R. Ianoco and P. S. Paolucci},
+ title = {The ``{C}ubed {S}phere'': a new method for the solution of partial
+ differential equations in spherical geometry},
+ journal = jcp,
+ year = {1996},
+ volume = {124},
+ pages = {93-114}
+}
+
+ at INCOLLECTION{RoBoFi05,
+ author = {S. Rondenay and M. G. Bostock and K. M. Fischer},
+ title = {Multichannel inversion of scattered teleseismic body waves: practical
+ considerations},
+ booktitle = {Seismic Earth: Array Analysis of Broadband Seismograms},
+ publisher = {American Geophysical Union},
+ year = {2005},
+ editor = {Alan Levander and Guust Nolet},
+ volume = {157},
+ series = {Geophysical Monograph},
+ pages = {187-204},
+ address = {Washington DC, USA}
+}
+
+ at ARTICLE{RoHiRi03,
+ author = {S\'everine Rosat and Jacques Hinderer and Luis Rivera},
+ title = {First observation of ${}_2{S}_1$ and study of the splitting of the
+ football mode ${}_0{S}_2$ after the {J}une 2001 {P}eru earthquake
+ of magnitude 8.4},
+ journal = grl,
+ year = {2003},
+ volume = {30},
+ pages = {2111},
+ number = {21},
+ note = {doi:10.1029/2003GL018304}
+}
+
+ at ARTICLE{Rul69,
+ author = {B. Rulf},
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+ year = {1969},
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+}
+
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+ author = {G. Ryskin and L.G. Leal},
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+ journal = jcp,
+ year = {1983},
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+}
+
+ at ARTICLE{Ron96,
+ author = {E. M. R{\o}nquist},
+ title = {Convection treatment using spectral elements of different order},
+ journal = {Int. J. Num. Meth. Fluids},
+ year = {1996},
+ volume = {22},
+ pages = {241-264}
+}
+
+ at PHDTHESIS{Ron88,
+ author = {E. M. R{\o}nquist},
+ title = {Optimal spectral element methods for the unsteady three-dimensional
+ incompressible {N}avier-{S}tokes equations},
+ school = {Massachussets Institute of Technology},
+ year = {1988},
+ address = {Massachussets}
+}
+
+ at INPROCEEDINGS{RoPa88,
+ author = {E. M. R{\o}nquist and A. T. Patera},
+ title = {A {L}egendre {S}pectral {E}lement Method for the Incompressible {N}avier-{S}tokes
+ Equations},
+ booktitle = {Proc. of the Seventh Gamm Conference on Numerical Methods in Fluid
+ Mechanics},
+ year = {1988},
+ editor = {M. Deville},
+ pages = {318-326},
+ address = {Louvain-la-Neuve, Belgium}
+}
+
+ at ARTICLE{RoPa87,
+ author = {E. M. R{\o}nquist and A. T. Patera},
+ title = {A {L}egendre {S}pectral {E}lement Method for the {S}tefan Problem},
+ journal = ijnme,
+ year = {1987},
+ volume = {24},
+ pages = {2273-2299}
+}
+
+ at ARTICLE{SuSh03,
+ author = {M. P. S\"uss and J. H. Shaw},
+ title = {P wave seismic velocity structure derived from sonic logs and industry
+ reflection data in the {L}os {A}ngeles basin, {C}alifornia},
+ journal = jgr,
+ year = {2003},
+ volume = {108},
+ pages = {2170},
+ number = {B3},
+ note = {doi:10.1029/2001JB001628},
+ doi = {10.1029/2001JB001628}
+}
+
+ at INCOLLECTION{San97,
+ author = {F. J. S\'anchez-Sesma},
+ title = {Strong ground motion and site effects},
+ booktitle = {Computer Analysis and Design of Earthquake resistant structures},
+ publisher = {Comp. Mech. Publications},
+ year = {1997},
+ editor = {D.E. Beskos and S.A. Angnostopoulos},
+ pages = {201-239},
+ address = {Southampton}
+}
+
+ at ARTICLE{San83,
+ author = {F. J. S\'anchez-Sesma},
+ title = {Diffraction of elastic waves by three-dimensional surface irregularities},
+ journal = bssa,
+ year = {1983},
+ volume = {73},
+ pages = {1621-1636},
+ number = {6}
+}
+
+ at INPROCEEDINGS{SaBeBi96,
+ author = {F. J. S\'anchez-Sesma and R. Benites and J. Bielak},
+ title = {The assessment of strong ground motion: what lies ahead?},
+ booktitle = {Proceedings of the 11th World Conference on Earthquake Engineering},
+ year = {1996},
+ pages = {1-19},
+ note = {Acapulco, Mexico, June 1996}
+}
+
+ at ARTICLE{SaCa93,
+ author = {F. J. S\'anchez-Sesma and M. Campillo},
+ title = {Topographic effects for incident {{\it P, SV}} and {R}ayleigh waves},
+ journal = {Tectonophysics},
+ year = {1993},
+ volume = {218},
+ pages = {113-125}
+}
+
+ at ARTICLE{SaCa91,
+ author = {F. J. S\'anchez-Sesma and M. Campillo},
+ title = {Diffraction of {{\it P}}, {{\it SV}} and {R}ayleigh waves by topographic
+ features: a boundary integral formulation},
+ journal = bssa,
+ year = {1991},
+ volume = {81},
+ pages = {2234-2253}
+}
+
+ at ARTICLE{SaLu96,
+ author = {F. J. S\'anchez-Sesma and F. Luz\'on},
+ title = {Can horizontal {{\it P}} waves be trapped and resonate in a shallow
+ sedimentary basin?},
+ journal = gji,
+ year = {1996},
+ volume = {124},
+ pages = {209-214}
+}
+
+ at ARTICLE{SaRaCa93,
+ author = {F. J. S\'anchez-Sesma and J. Ramos-Martinez and M. Campillo},
+ title = {An indirect boundary element method applied to simulate the seismic
+ response of alluvial valleys for incident {{\it P, SV}} and {R}ayleigh
+ waves},
+ journal = eesd,
+ year = {1993},
+ volume = {22},
+ pages = {279-295}
+}
+
+ at ARTICLE{SaRo79,
+ author = {F. J. S\'anchez-Sesma and E. Rosenblueth},
+ title = {Ground motion at canyons of arbitrary shape under incident {{\it
+ SH}} waves},
+ journal = eesd,
+ year = {1979},
+ volume = {7},
+ pages = {441-450}
+}
+
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+ author = {Z. S. Sacks and D. M. Kingsland and R. Lee and J. F. Lee},
+ title = {A {P}erfectly {M}atched anisotropic absorber for use as an absorbing
+ boundary condition},
+ journal = {IEEE transactions on Antennas and Propagation},
+ year = {1995},
+ volume = {43},
+ pages = {1460--1463},
+ number = {12}
+}
+
+ at ARTICLE{Sad72,
+ author = {R. Sadourny},
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+ on quasi-uniform spherical grids},
+ journal = {Monthly Weather Review},
+ year = {1972},
+ volume = {100},
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+}
+
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+ author = {Erik H. Saenger and Thomas Bohlen},
+ title = {Finite-difference modeling of viscoelastic and anisotropic wave propagation
+ using the rotated staggered grid},
+ journal = geophysics,
+ year = {2004},
+ volume = {69},
+ pages = {583-591},
+ number = {2},
+ doi = {10.1190/1.1707078}
+}
+
+ at ARTICLE{SaGoSh00,
+ author = {E. H. Saenger and N. Gold and S. A. Shapiro},
+ title = {Modeling the propagation of elastic waves using a modified finite-difference
+ grid},
+ journal = {Wave Motion},
+ year = {2000},
+ volume = {31},
+ pages = {77-92(16)},
+ number = {1}
+}
+
+ at ARTICLE{SaSh02,
+ author = {E. H. Saenger and S. A. Shapiro},
+ title = {Effective velocities in fractured media: a numerical study using
+ the rotated staggered finite-difference grid},
+ journal = {Geophysical Prospecting},
+ year = {2002},
+ volume = {50},
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+}
+
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+ author = {A. Safjan and J. T. Oden},
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+ second-order hyperbolic systems: application to elastodynamics},
+ journal = cmame,
+ year = {1993},
+ volume = {103},
+ pages = {187-230}
+}
+
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+ author = {K. Salkauskas},
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+}
+
+ at ARTICLE{SaKaSaPi01,
+ author = {Toshimi Satoh and Hiroshi Kawase and Toshiaki Sato and Arben Pitarka},
+ title = {Three-Dimensional Finite-Difference Waveform Modeling of Strong Motions
+ Observed in the {S}endai Basin, {J}apan},
+ journal = bssa,
+ year = {2001},
+ volume = {91},
+ pages = {365-380}
+}
+
+ at INPROCEEDINGS{SavWiTr05,
+ author = {Savage, B. and D.A. Wiens and J. Tromp},
+ title = {Effects of 3{D} Velocity and Attenuation in the {T}onga-{F}iji Subduction
+ Zone},
+ booktitle = {Expanded abstracts of the American Geophysical Union},
+ year = {Fall Meeting 2005},
+ note = {abstract T31D-04}
+}
+
+ at ARTICLE{ScHuYeHu96,
+ author = {C. L. Schneider and C. Hummon and R. S. Yeats and G. J. Huftile},
+ title = {Structural evolution of the northern {L}os {A}ngeles basin, {C}alifornia,
+ based on growth strata},
+ journal = {Tectonics},
+ year = {1996},
+ volume = {15},
+ pages = {341-355}
+}
+
+ at ARTICLE{ScMu89,
+ author = {M. Schoenberg and F. Muir},
+ title = {A calculus for finely layered anisotropic media},
+ journal = geophysics,
+ year = {1989},
+ volume = {54},
+ pages = {581-589},
+ number = {5}
+}
+
+ at TECHREPORT{Sch03,
+ author = {B. Schubert},
+ title = {The spectral-element method for seismic wave propagation: theory,
+ implementation and comparison to finite-difference methods},
+ institution = {University of Munich},
+ year = {2003},
+ address = {Germany},
+ note = {unpublished report, 165 p.}
+}
+
+ at ARTICLE{Ser04,
+ author = {G. Seriani},
+ title = {Double-grid {C}hebyshev spectral elements for acoustic wave modeling},
+ journal = {Wave Motion},
+ year = {2004},
+ volume = {39},
+ pages = {351-360}
+}
+
+ at ARTICLE{Ser98,
+ author = {G\'eza Seriani},
+ title = {3-{D} large-scale wave propagation modeling by a spectral element
+ method on a {C}ray {T3E} multiprocessor},
+ journal = cmame,
+ year = {1998},
+ volume = {164},
+ pages = {235-247}
+}
+
+ at ARTICLE{Ser97,
+ author = {G\'eza Seriani},
+ title = {A parallel spectral element method for acoustic wave modeling},
+ journal = jca,
+ year = {1997},
+ volume = {5},
+ pages = {53-69}
+}
+
+ at ARTICLE{SePr94,
+ author = {G. Seriani and E. Priolo},
+ title = {A spectral element method for acoustic wave simulation in heterogeneous
+ media},
+ journal = {Finite Elements in Analysis and Design},
+ year = {1994},
+ volume = {16},
+ pages = {337-348}
+}
+
+ at INPROCEEDINGS{SePr91,
+ author = {G. Seriani and E. Priolo},
+ title = {High-order spectral element method for acoustic wave modeling},
+ booktitle = {Expanded abstracts of the Soc. Expl. Geophys.},
+ year = {1991},
+ pages = {1561-1564},
+ note = {61st international meeting of the SEG, Houston, Texas}
+}
+
+ at INPROCEEDINGS{SePrCaPa92,
+ author = {G. Seriani and E. Priolo and J. M. Carcione and E. Padovani},
+ title = {High-order spectral element method for elastic wave modeling},
+ booktitle = {Expanded abstracts of the Soc. Expl. Geophys.},
+ year = {1992},
+ pages = {1285-1288},
+ note = {62nd international meeting of the SEG, New-Orleans, Louisiana}
+}
+
+ at INPROCEEDINGS{SePrPr95,
+ author = {G. Seriani and E. Priolo and A. Pregarz},
+ title = {Modelling waves in anisotropic media by a spectral element method},
+ booktitle = {Proceedings of the third international conference on mathematical
+ and numerical aspects of wave propagation},
+ year = {1995},
+ editor = {G. Cohen},
+ pages = {289-298},
+ publisher = {SIAM, Philadephia, PA}
+}
+
+ at ARTICLE{SeOl07,
+ author = {G{\'e}za Seriani and Saulo P. Oliveira},
+ title = {Optimal blended spectral-element operators for acoustic wave modeling},
+ journal = geophysics,
+ year = {2007},
+ volume = {72},
+ pages = {SM95-SM106},
+ number = {5},
+ doi = {10.1190/1.2750715}
+}
+
+ at ARTICLE{ShOlSi02,
+ author = {Nikolai M. Shapiro and Kim B. Olsen and Shri K. Singh},
+ title = {On the duration of seismic motion incident onto the Valley of {M}exico
+ for subduction zone earthquakes},
+ journal = gji,
+ year = {2002},
+ volume = {151},
+ pages = {501-510}
+}
+
+ at INPROCEEDINGS{ShSuRi99,
+ author = {J. H. Shaw and P. S\"uss and C. Rivero},
+ title = {Structural and seismologic investigations of concealed earthquake
+ sources in the {L}os {A}ngeles metropolitan area},
+ booktitle = {SCEC Annual Meeting},
+ year = {1999},
+ address = {Palm Springs, California}
+}
+
+ at ARTICLE{ShSh99,
+ author = {J. H. Shaw and P. Shearer},
+ title = {An elusive blind-thrust fault beneath metropolitan {L}os {A}ngeles},
+ journal = {Science},
+ year = {1999},
+ volume = {283},
+ pages = {1516--1518}
+}
+
+ at ARTICLE{ShSu96,
+ author = {John H. Shaw and J. Suppe},
+ title = {Earthquake hazards of active blind-thrust faults under the central
+ {L}os {A}ngeles basin, {C}alifornia},
+ journal = jgr,
+ year = {1996},
+ volume = {101},
+ pages = {8623-8642}
+}
+
+ at ARTICLE{ShTuBaOr06,
+ author = {Dong-Hoon Sheen and Kagan Tuncay and Chang-Eob Baag and Peter J.
+ Ortoleva},
+ title = {Parallel implementation of a velocity-stress staggered-grid finite-difference
+ method for 2-{D} poroelastic wave propagation},
+ journal = {Computers \& Geosciences},
+ year = {2006},
+ volume = {32},
+ pages = {1182-1191},
+ doi = {10.1016/j.cageo.2005.11.001}
+}
+
+ at BOOK{ShGe82,
+ title = {Exploration seismology: history, theory and data acquisition},
+ publisher = {Cambridge University Press},
+ year = {1982},
+ author = {R. E. Sheriff and L. P. Geldart},
+ address = {Cambridge}
+}
+
+ at ARTICLE{ShKarn95,
+ author = {S. J. Sherwin and G. E. Karniadakis},
+ title = {A triangular spectral element method: applications to the incompressible
+ {N}avier-{S}tokes equations},
+ journal = cmame,
+ year = {1995},
+ volume = {123},
+ pages = {189-229}
+}
+
+ at ARTICLE{Shinguetal2002,
+ author = {Satoru Shingu and Hiroshi Takahara and Hiromitsu Fuchigami and Masayuki
+ Yamada and Yoshinori Tsuda and Wataru Ohfuchi and Yuji Sasaki and
+ Kazuo Kobayashi and Takashi Hagiwara and Shin-Ichi Habata and Mitsuo
+ Yokokawa and Hiroyuki Itoh and Kiyoshi Otsuka},
+ title = {A 26.58 teraflops Global Atmospheric Simulation with the Spectral
+ Transform Method on the {E}arth {S}imulator},
+ journal = {Proceedings of the ACM/IEEE Supercomputing SC'2002 conference},
+ year = {2002},
+ note = {Published on CD-ROM and at www.sc-conference.org/sc2002}
+}
+
+ at ARTICLE{SiLiTrTr07,
+ author = {Anne Sieminski and Qinya Liu and Jeannot Trampert and Jeroen Tromp},
+ title = {Finite-frequency sensitivity of surface waves to anisotropy based
+ upon adjoint methods},
+ journal = gji,
+ year = {2007},
+ volume = {168},
+ pages = {1153–1174},
+ number = {3},
+ doi = {10.1111/j.1365-246X.2006.03261.x}
+}
+
+ at ARTICLE{silver1996,
+ author = {P. G. Silver},
+ title = {Seismic anisotropy beneath the continents: Probing the depths of
+ geology},
+ journal = {Annual Review of Earth and Planetary Sciences},
+ year = {1996},
+ volume = {24},
+ pages = {385--xxx}
+}
+
+ at ARTICLE{Sim92,
+ author = {J. C. Simo},
+ title = {Algorithms for static and dynamic multiplicative plasticity that
+ preserve the classical return mapping schemes of the infinitesimal
+ theory},
+ journal = cmame,
+ year = {1992},
+ volume = {99},
+ pages = {61-112}
+}
+
+ at ARTICLE{SiTaWo92,
+ author = {J. C. Simo and N. Tarnow and K. K. Wong},
+ title = {Exact energy-momentum conserving algorithms and symplectic schemes
+ for nonlinear dynamics},
+ journal = cmame,
+ year = {1992},
+ volume = {100},
+ pages = {63-116}
+}
+
+ at ARTICLE{simonsetal2002,
+ author = {F. J. Simons and R. D. van der Hilst and J. P. Montagner and A. Zielhuis},
+ title = {Multimode {R}ayleigh wave inversion for heterogeneity and azimuthal
+ anisotropy of the {A}ustralian upper mantle},
+ journal = gji,
+ year = {2002},
+ volume = {151},
+ pages = {738-754},
+ number = {3}
+}
+
+ at ARTICLE{SiSa77,
+ author = {S. K. Singh and F. J. Sabina},
+ title = {Ground-motion amplification by topographic depressions for incident
+ {{\it P}} wave under acoustic approximation},
+ journal = bssa,
+ year = {1977},
+ volume = {67},
+ pages = {345-352}
+}
+
+ at ARTICLE{SiPr04,
+ author = {Laurent Sirgue and R. Gerhard Pratt},
+ title = {Efficient waveform inversion and imaging: A strategy for selecting
+ temporal frequencies},
+ journal = geophysics,
+ year = {2004},
+ volume = {69},
+ pages = {231-248},
+ number = {1}
+}
+
+ at ARTICLE{Sjostrand,
+ author = {Sj\o{}strand, J.},
+ title = {Fourier Integral Operators with Complex-Valued Phase Functions},
+ journal = {Lecture Notes},
+ year = {1974},
+ volume = {459},
+ pages = {120-223}
+}
+
+ at ARTICLE{Ske07,
+ author = {Elizabeth A. Skelton and S. D. M. Adams and R. V. Craster},
+ title = {Guided elastic waves and perfectly matched layers},
+ journal = {Wave Motion},
+ year = {2007},
+ volume = {44},
+ pages = {573-592}
+}
+
+ at ARTICLE{smith&dahlen73,
+ author = {M. L. Smith and F. A. Dahlen},
+ title = {The azimuthal dependence of {L}ove and {R}ayleigh wave propagation
+ in a slightly anisotropic medium},
+ journal = jgr,
+ year = {1973},
+ volume = {78},
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+}
+
+ at ARTICLE{SoKuGeFlSm87,
+ author = {J. Sochacki and R. Kubichek and J. George and W. R. Fletcher and
+ S. Smithson},
+ title = {Absorbing boundary conditions and surface waves},
+ journal = geophysics,
+ year = {1987},
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+ pages = {60--71},
+ number = {1}
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+
+ at ARTICLE{SoHe96,
+ author = {X. J. Song and D. V. Helmberger},
+ title = {Source estimation of finite faults from broadband regional networks},
+ journal = bssa,
+ year = {1996},
+ volume = {86},
+ pages = {797--804}
+}
+
+ at ARTICLE{SoRo97,
+ author = {A. Souriau and B. Romanowicz},
+ title = {Anisotropy in inner core attenuation: a new type of data to constrain
+ the nature of the solid core},
+ journal = grl,
+ year = {1997},
+ volume = {23},
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+}
+
+ at BOOK{Spa65,
+ title = {Tensor Calculus},
+ publisher = {John Wiley and sons},
+ year = {1965},
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+}
+
+ at ARTICLE{spetzleretal2001,
+ author = {J. Spetzler and J. Trampert and R. Snieder},
+ title = {{Are we exceeding the limits of the great circle approximation in
+ global surface wave tomography?}},
+ journal = grl,
+ year = {2001},
+ volume = {28},
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+}
+
+ at ARTICLE{SpHeLe96,
+ author = {P. Spudich and M. Hellweg and W. H. K. Lee},
+ title = {Directional topographic site response at {T}arzana observed in aftershocks
+ of the 1994 {N}orthridge, {C}alifornia, earthquake: implications
+ for mainshock motions},
+ journal = bssa,
+ year = {1996},
+ volume = {86},
+ pages = {S193-S208},
+ number = {1B}
+}
+
+ at BOOK{Sta92,
+ title = {Physics of the Earth},
+ publisher = {Brookfield Press},
+ year = {1992},
+ author = {Franck D. Stacey},
+ address = {Brisbane},
+ edition = {3rd}
+}
+
+ at ARTICLE{Sta88,
+ author = {R. Stacey},
+ title = {Improved transparent boundary formulations for the elastic wave equation},
+ journal = bssa,
+ year = {1988},
+ volume = {78},
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+}
+
+ at TECHREPORT{Ste00,
+ author = {T. L. Sterling},
+ title = {Petaflops Computing: looking Back at the Future},
+ institution = {California Institute of Technology},
+ year = {2000},
+ address = {Pasadena, California},
+ note = {presented at the Supercomputing'2000 conference, Dallas, Texas, Nov.
+ 2000}
+}
+
+ at BOOK{StMe95,
+ title = {Enabling technologies for {P}etaflops computing},
+ publisher = {MIT Press},
+ year = {1995},
+ author = {T. L. Sterling and P. C. Messina},
+ address = {Cambridge}
+}
+
+ at BOOK{StSaBeSa99,
+ title = {How to build a {B}eowulf, a guide to the implementation and application
+ of {PC} clusters},
+ publisher = {MIT Press},
+ year = {1999},
+ author = {T. L. Sterling and J. Salmon and D. J. Becker and D. F. Savarese},
+ address = {Cambridge}
+}
+
+ at ARTICLE{StMcShDa93,
+ author = {J. L. Stevens and K. L. McLaughlin and B. Shkoller and S. M. Day},
+ title = {2-{D} axisymmetric calculations of surface waves generated by an
+ explosion in an island, mountain and sedimentary basin},
+ journal = gji,
+ year = {1993},
+ volume = {114},
+ pages = {548-560}
+}
+
+ at ARTICLE{StAnDrLaRo99,
+ author = {C. Stidham and M. Antolik and D. Dreger and S. Larsen and B. Romanowicz},
+ title = {Three-dimensional Structure Influences on the Strong Motion Wavefield
+ of the 1989 {L}oma {P}rieta Earthquake},
+ journal = bssa,
+ year = {1999},
+ volume = {89},
+ pages = {1184-1202}
+}
+
+ at INPROCEEDINGS{StSuSh01,
+ author = {C. Stidham and M. P. S\"uss and J. H. Shaw},
+ title = {3{D} density and velocity model of the {L}os {A}ngeles basin},
+ booktitle = {Geological Society of America 2001 annual meeting abstracts},
+ year = {2001},
+ volume = {33},
+ pages = {299},
+ publisher = {Geological Society of America}
+}
+
+ at ARTICLE{Sto24,
+ author = {R. Stoneley},
+ title = {Elastic waves at the surface of separation of two solids},
+ journal = {Proc. R. Soc. London Ser. A},
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+}
+
+ at ARTICLE{Stu05,
+ author = {F. Sturm},
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+ oceanic waveguides},
+ journal = jasa,
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+ volume = {117},
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+ number = {3}
+}
+
+ at ARTICLE{Sukum00,
+ author = {N. Sukumar and N. Mo\"es and B. Moran and T. Belytschko},
+ title = {Extended Finite Element Method for Three-Dimensional Crack Modeling},
+ journal = ijnme,
+ year = {2000},
+ volume = {48},
+ pages = {1549--1570},
+ number = {11}
+}
+
+ at ARTICLE{Sul97,
+ author = {D. M. Sullivan},
+ title = {An unsplit step 3-{D} {PML} for use with the {FDTD} method},
+ journal = {IEEE Microwave and Guided Wave Letters},
+ year = {1997},
+ volume = {7},
+ pages = {184-186},
+ number = {7},
+ doi = {10.1109/75.594858}
+}
+
+ at BOOK{SzBa91,
+ title = {Finite Element analysis},
+ publisher = {Wiley},
+ year = {1991},
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+ address = {New York}
+}
+
+ at ARTICLE{SesmaViv01,
+ author = {F. J. S{\'a}nchez-Sesma and U. Iturrar{\'a}n-Viveros},
+ title = {Scattering and diffraction of {$SH$} waves by a finite crack: an
+ analytical solution},
+ journal = gji,
+ year = {2001},
+ volume = {145},
+ pages = {749--758}
+}
+
+ at ARTICLE{Taetal00,
+ author = {N Takeuchi and R.J. Geller and P.R. Cummins},
+ title = {Complete synthetic seismograms for {3-D} heterogeneous {E}arth models
+ computed using modified {DSM} operators and their applicability to
+ inversion for {E}arth structure},
+ journal = pepi,
+ year = {2000},
+ volume = {119},
+ pages = {25-36}
+}
+
+ at ARTICLE{TaCo87,
+ author = {O. Talagrand and P. Courtier},
+ title = {Variational assimilation of meteorological observations with the
+ adjoint vorticity equation. I: Theory},
+ journal = {Q. J. R. Meteorol. Soc.},
+ year = {1987},
+ volume = {113},
+ pages = {1311-1328}
+}
+
+ at ARTICLE{TaLiTr07,
+ author = {Carl Tape and Qinya Liu and Jeroen Tromp},
+ title = {Finite-frequency tomography using adjoint methods - {M}ethodology
+ and examples using membrane surface waves},
+ journal = gji,
+ year = {2007},
+ volume = {168},
+ pages = {1105–1129},
+ number = {3},
+ doi = {10.1111/j.1365-246X.2006.03191.x}
+}
+
+ at ARTICLE{Tar88,
+ author = {A. Tarantola},
+ title = {Theoretical background for the inversion of seismic waveforms, including
+ elasticity and attenuation},
+ journal = pageoph,
+ year = {1988},
+ volume = {128},
+ pages = {365-399}
+}
+
+ at BOOK{Tar87,
+ title = {Inverse problem theory: methods for data fitting and model parameter
+ estimation},
+ publisher = {Elsevier Science Publishers},
+ year = {1987},
+ author = {A. Tarantola},
+ address = {Amsterdam, Netherlands}
+}
+
+ at ARTICLE{Tar84,
+ author = {A. Tarantola},
+ title = {Inversion of seismic reflection data in the acoustic approximation},
+ journal = geophysics,
+ year = {1984},
+ volume = {49},
+ pages = {1259-1266}
+}
+
+ at ARTICLE{TaVa82a,
+ author = {A. Tarantola and B. Valette},
+ title = {Generalized nonlinear inverse problems solved using the least squares
+ criterion},
+ journal = {Rev. Geophys. Space Phys.},
+ year = {1982},
+ volume = {20},
+ pages = {219-232}
+}
+
+ at ARTICLE{TaVa82b,
+ author = {A. Tarantola and B. Valette},
+ title = {Inverse problem = quest for information},
+ journal = {J. Geophysics},
+ year = {1982},
+ volume = {50},
+ pages = {159-170}
+}
+
+ at ARTICLE{TaSi94,
+ author = {N. Tarnow and J. C. Simo},
+ title = {How to render second-order accurate time-stepping algorithms fourth-order
+ accurate while retaining the stability and conservation properties},
+ journal = cmame,
+ year = {1994},
+ volume = {115},
+ pages = {233-252}
+}
+
+ at ARTICLE{Tau96,
+ author = {G. Taubes},
+ title = {Do-it-yourself supercomputers},
+ journal = {Science},
+ year = {1996},
+ volume = {274},
+ pages = {1840}
+}
+
+ at ARTICLE{Tau04,
+ author = {Timothy J. Tautges},
+ title = {{MOAB-SD}: integrated structured and unstructured mesh representation},
+ journal = {Engineering with Computers},
+ year = {2004},
+ volume = {20},
+ pages = {286-293},
+ number = {3},
+ note = {doi: 10.1007/s00366-004-0296-0},
+ doi = {10.1007/s00366-004-0296-0}
+}
+
+ at TECHREPORT{TayLoft98,
+ author = {M. A. Taylor and R. Loft and J. Tribbia},
+ title = {Performance of a spectral element atmospheric model ({SEAM}) on the
+ {HP} {E}xemplar {SPP}2000},
+ institution = {National Center for Atmospheric Research},
+ year = {1998},
+ number = {NCAR/TN-439+EDD},
+ address = {Boulder, Colorado}
+}
+
+ at ARTICLE{TaWi00,
+ author = {M. A. Taylor and B. A. Wingate},
+ title = {A generalized diagonal mass matrix spectral element method for non-quadrilateral
+ elements},
+ journal = {Appl. Num. Math.},
+ year = {2000},
+ volume = {33},
+ pages = {259-265}
+}
+
+ at ARTICLE{TaWiVi00,
+ author = {M. A. Taylor and B. A. Wingate and R. E. Vincent},
+ title = {An Algorithm for Computing {F}ekete Points in the Triangle},
+ journal = {SIAM Journal on Numerical Analysis},
+ year = {2000},
+ volume = {38},
+ pages = {1707-1720},
+ number = {5}
+}
+
+ at ARTICLE{TaTrIs97,
+ author = {M. Taylor and J. Tribbia and M. Iskandarani},
+ title = {The spectral element method for the shallow water equation on the
+ sphere},
+ journal = jcp,
+ year = {1997},
+ volume = {130},
+ pages = {92-108}
+}
+
+ at BOOK{Tay81,
+ title = {Pseudodifferential operators},
+ publisher = {Princeton University Press},
+ year = {1981},
+ author = {M. E. Taylor},
+ address = {Princeton, New-Jersey, USA}
+}
+
+ at ARTICLE{TeCh99,
+ author = {F. L. Teixeira and W. C. Chew},
+ title = {On causality and dynamic stability of {P}erfectly {M}atched {L}ayers
+ for {FDTD} simulations},
+ journal = {IEEE transactions on Microwave Theory and Techniques},
+ year = {1999},
+ volume = {47},
+ pages = {775--785},
+ number = {6}
+}
+
+ at ARTICLE{Tes95,
+ author = {E. Tessmer},
+ title = {3-{D} seismic modelling of general material anisotropy in the presence
+ of the free surface by a {C}hebyshev spectral method},
+ journal = gji,
+ year = {1995},
+ volume = {121},
+ pages = {557-575}
+}
+
+ at ARTICLE{TeKeKo92,
+ author = {E. Tessmer and D. Kessler and D. Kosloff and A. Behle},
+ title = {Multi-domain {C}hebyshev-{F}ourier method for the solution of the
+ equations of motion of dynamic elasticity},
+ journal = jcp,
+ year = {1992},
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+}
+
+ at ARTICLE{TeKo94,
+ author = {E. Tessmer and D. Kosloff},
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+ year = {1994},
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+}
+
+ at ARTICLE{TeKoBe92,
+ author = {E. Tessmer and D. Kosloff and A. Behle},
+ title = {Elastic wave propagation simulation in the presence of surface topography},
+ journal = gji,
+ year = {1992},
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+}
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+ at PHDTHESIS{Tho94,
+ author = {L. L. Thompson},
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+ finite element methods for fluid-structure interactions in exterior
+ domains},
+ school = {Stanford University},
+ year = {1994},
+ address = {California}
+}
+
+ at ARTICLE{ThPi96a,
+ author = {L. L. Thompson and P. Pinsky},
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+ domains. Part 1: formulation, stability and convergence},
+ journal = cmame,
+ year = {1996},
+ volume = {132},
+ pages = {195-227}
+}
+
+ at ARTICLE{ThPi96b,
+ author = {L. L. Thompson and P. Pinsky},
+ title = {A space-time finite element method for structural acoustics in infinite
+ domains. Part 2: Exact time-dependent non-reflecting boundary conditions},
+ journal = cmame,
+ year = {1996},
+ volume = {132},
+ pages = {229-258}
+}
+
+ at ARTICLE{Tho86,
+ author = {L. Thomsen},
+ title = {Weak elastic anisotropy},
+ journal = geophysics,
+ year = {1986},
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+}
+
+ at ARTICLE{Thouvetal03,
+ author = {Fran\c{c}ois Thouvenot and Julien Fr\'echet and Liliane Jenatton
+ and Jean-Fran\c{c}ois Gamond},
+ title = {The {B}elledonne Border Fault: identification of an active seismic
+ strike-slip fault in the western {A}lps},
+ journal = gji,
+ year = {2003},
+ volume = {155},
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+}
+
+ at ARTICLE{ToIrKa95,
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+ title = {Strong motion records in the source area of the {H}yogo-ken {N}anbu
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+}
+
+ at PHDTHESIS{Tor95,
+ author = {Nathalie Tordjman},
+ title = {{\'E}l\'ements finis d'ordre \'elev\'e avec condensation de masse
+ pour l'\'equation des ondes ({H}igh-order finite elements with mass
+ lumping for the wave equation)},
+ school = {Universit\'e Paris {\sc IX} Dauphine},
+ year = {1995},
+ address = {Paris, France}
+}
+
+ at PHDTHESIS{jjt,
+ author = {J. J. Torrens},
+ title = {Interpolaci\'on de superficies param\'etricas con discontinuidades
+ mediante, elementos finitos, aplicaciones},
+ school = {Universidad de Zaragoza},
+ year = {1991},
+ address = {Zaragoza, Espa{\~{n}}a},
+ note = {186 p.}
+}
+
+ at ARTICLE{ToOh92,
+ author = {Takumi Toshinawa and Tatsuo Ohmachi},
+ title = {Love-wave propagation in a three-dimensional sedimentary basin},
+ journal = bssa,
+ year = {1992},
+ volume = {82},
+ pages = {1661-1677},
+ number = {4}
+}
+
+ at BOOK{treves80,
+ title = {Introduction to pseudodifferential and {F}ourier Integral operators},
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+ year = {1980},
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+ volume = {1},
+ address = {New-York, USA},
+ booktitle = {University Series in Mathematics}
+}
+
+ at ARTICLE{Tri73,
+ author = {M. D. Trifunac},
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+ journal = eesd,
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+
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+ plane {{\it SH}} waves},
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+
+ at INCOLLECTION{TrKo00,
+ author = {J. Tromp and D. Komatitsch},
+ title = {Spectral-element simulations of wave propagation in a laterally homogeneous
+ {E}arth model},
+ booktitle = {Problems in Geophysics for the New Millennium},
+ publisher = {INGV},
+ year = {2000},
+ editor = {E. Boschi and G. Ekstr\"{o}m and A. Morelli},
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+ address = {Roma, Italy}
+}
+
+ at ARTICLE{TrKoLi08,
+ author = {Jeroen Tromp and Dimitri Komatitsch and Qinya Liu},
+ title = {Spectral-Element and Adjoint Methods in Seismology},
+ journal = {Communications in Computational Physics},
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+}
+
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+ author = {J. Tromp and J. X. Mitrovica},
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+}
+
+ at ARTICLE{trompetal2005,
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+ journal = gji,
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+}
+
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+ author = {Jeroen Tromp and Carl Tape and Qinya Liu},
+ title = {Seismic tomography, adjoint methods, time reversal and banana-doughnut
+ kernels},
+ journal = gji,
+ year = {2005},
+ volume = {160},
+ pages = {195-216},
+ number = {1},
+ note = {doi: 10.1111/j.1365-246X.2004.02453.x},
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+}
+
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+ year = {2002},
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+
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+ title = {Three-dimensional Fr\'echet differential kernels for seismic delay
+ times},
+ journal = gji,
+ year = {2000},
+ volume = {141},
+ pages = {558--576}
+}
+
+ at ARTICLE{zhu&kanamori2000,
+ author = {L. Zhu and H. Kanamori},
+ title = {Moho depth variation in southern {C}alifornia from teleseismic receiver
+ functions},
+ journal = jgr,
+ year = {2000},
+ volume = {105},
+ pages = {2969--2980}
+}
+
+ at ARTICLE{zhumcmechan91,
+ author = {X. Zhu and G. A. McMechan},
+ title = {Finite-difference modelling of the seismic response of fluid-saturated,
+ porous, elastic media using {B}iot theory},
+ journal = geophysics,
+ year = {1991},
+ volume = {56},
+ pages = {328-339}
+}
+
+ at BOOK{Zie77,
+ title = {The finite element method in engineering science},
+ publisher = {McGraw-Hill},
+ year = {1977},
+ author = {Olgierd Cecil Zienkiewicz},
+ address = {New York},
+ edition = {3rd}
+}
+
+ at ARTICLE{ZiBe78,
+ author = {O. C. Zienkiewicz and P. Bettess},
+ title = {Fluid-structure dynamic interaction and wave forces, an introduction
+ to numerical treatment},
+ journal = ijnme,
+ year = {1978},
+ volume = {13},
+ pages = {1-16}
+}
+
+ at BOOK{ZiTa89,
+ title = {The finite element method: v.2, solid and fluid mechanics},
+ publisher = {McGraw-Hill},
+ year = {1989},
+ author = {Olgierd Cecil Zienkiewicz and R. L. Taylor},
+ address = {New York},
+ edition = {4th}
+}
+
+ at ARTICLE{Zin00,
+ author = {David W. Zingg},
+ title = {Comparison of High-Accuracy Finite-Difference Methods for Linear
+ Wave Propagation},
+ journal = {SIAM Journal on Scientific Computing},
+ year = {2000},
+ volume = {22},
+ pages = {476-502},
+ number = {2},
+ note = {doi: 10.1137/S1064827599350320},
+ doi = {10.1137/S1064827599350320}
+}
+
+ at ARTICLE{ZiLoJu96,
+ author = {David W. Zingg and Harvard Lomax and Henry Jurgens},
+ title = {High-Accuracy Finite-Difference Schemes for Linear Wave Propagation},
+ journal = {SIAM Journal on Scientific Computing},
+ year = {1996},
+ volume = {17},
+ pages = {328-346},
+ number = {2},
+ note = {doi: 10.1137/S1064827594267173},
+ doi = {10.1137/S1064827594267173}
+}
+
+ at MISC{notedegreesfreedom,
+ note = {The cost of calculation is due to the fact that the mesh contains
+ 498 million degrees of freedom.}
+}
+
+ at MISC{notedownlaod,
+ note = {We encourage interested research groups to download the SEM software
+ package from the `Theoretical and Computational Seismology' webpage
+ of the Seismological Laboratory at Caltech ({\tt http://www.gps.caltech.edu/research/jtromp}).}
+}
+
+ at MISC{notehonormesh,
+ note = {It is important to honor the major discontinuities in the velocity
+ model when creating a mesh of the structure, to avoid numerical diffraction
+ by a staircase discretization of the complex-shaped interfaces in
+ the case of a regular grid.}
+}
+
+ at MISC{notePMLnotused,
+ note = {More accurate absorbing boundary conditions such as the Perfectly
+ Matched Layer (PML)~\cite{CoTs01} could be used instead, but because
+ we use a large mesh, simpler paraxial conditions are sufficient.}
+}
+
+ at MISC{notesciencevsrho,
+ note = {Shear-wave velocity $V_s$ is defined by dividing $V_p$ by a coefficient
+ that varies linearly from 1.732 in the deepest part of the basin
+ (i.e., Poisson's coefficient of 0.25) to 2 in the shallow sediments
+ near the surface(i.e., Poisson's coefficient of 0.33). Based upon
+ well-log information, density is defined by $\rho = V_p/3 + 1280$,
+ imposing a minimum of 2000~kg.m$^{-3}$ and maximum of 3000~kg.m$^{-3}$.}
+}
+
+ at MISC{notesmallevents,
+ note = {The SEM is not limited to point sources: a finite size source can
+ be used by summing individual contributions from points located along
+ the fault plane. To obtain the source mechanism for this event we
+ performed a 3D centroid-moment tensor inversion based upon the basin
+ model and the SEM. The solution is in excellent agreement with first-motion
+ and surface-wave estimates.}
+}
+
+ at MISC{notestationcorrection,
+ note = {The shear-wave speed ($V_s$) model is based upon a simple scaling
+ relation to compressional-wave speed ($V_p)$~\cite{notesciencevsrho}.
+ Rather than trying to determine an optimal scaling relation, or an
+ independent shear-wave speed model, we choose to use such a simple
+ scaling, but allow for deficiencies in the $V_s$ model by introducing
+ a station correction. These corrections are generally small, typically
+ less than plus or minus one~second}
+}
+
Modified: seismo/3D/SPECFEM3D_GLOBE/trunk/USER_MANUAL/manual_SPECFEM3D_GLOBE.tex
===================================================================
--- seismo/3D/SPECFEM3D_GLOBE/trunk/USER_MANUAL/manual_SPECFEM3D_GLOBE.tex 2009-02-23 21:37:58 UTC (rev 14123)
+++ seismo/3D/SPECFEM3D_GLOBE/trunk/USER_MANUAL/manual_SPECFEM3D_GLOBE.tex 2009-02-23 22:20:38 UTC (rev 14124)
@@ -130,9 +130,8 @@
on 1944 processors of the Japanese Earth Simulator using 14.6 billion
degrees of freedom stored in 2.5 terabytes of memory; see \cite{KoTsChTr03}
and the Gordon Bell Awards News Release \url{www.sc-conference.org/sc2003/nr_finalaward.html }
-for details.
+for details. It was a finalist again in 2008 for a run at 0.16 petaflops (sustained) on 149,784 processors of the `Jaguar' Cray XT5 system at Oak Ridge National Laboratories (USA) \cite{CaKoLaTiMiLeSnTr08}.
-
\section{Citation}
If you use SPECFEM3D\_GLOBE for your own research, please cite at
@@ -2738,8 +2737,8 @@
The main developers of the \texttt{SPECFEM3D\_GLOBE} source code are
Dimitri Komatitsch, Jeroen Tromp, Qinya Liu and David Michéa. The
following individuals (listed in alphabetical order) have also contributed
-to the development of the source code: Min Chen, Vala Hjörleifsdóttir,
-Nicolas Le Goff, Brian Savage, Bernhard Schuberth, Anne Sieminski,
+to the development or improvement of the source code: Min Chen, Vala Hjörleifsdóttir,
+Nicolas Le Goff, Jes\'us Labarta, Brian Savage, Bernhard Schuberth, Anne Sieminski,
Leif Strand and Peter van Keken. The following individuals (listed
in alphabetical order) contributed to this manual: Min Chen, Vala
Hjörleifsdóttir, Sue Kientz, Dimitri Komatitsch, Qinya Liu, Alessia
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