[cig-commits] r18210 - seismo/3D/SPECFEM3D_GLOBE/trunk/doc/USER_MANUAL

[dkomati1 at geodynamics.org]

Author: dkomati1
Date: 2011-04-09 15:03:02 -0700 (Sat, 09 Apr 2011)
New Revision: 18210

Modified:
   seismo/3D/SPECFEM3D_GLOBE/trunk/doc/USER_MANUAL/manual_SPECFEM3D_GLOBE.pdf
   seismo/3D/SPECFEM3D_GLOBE/trunk/doc/USER_MANUAL/manual_SPECFEM3D_GLOBE.tex
Log:
rephrased and shortened the paragraph about Discontinuous Galerkin


Modified: seismo/3D/SPECFEM3D_GLOBE/trunk/doc/USER_MANUAL/manual_SPECFEM3D_GLOBE.pdf
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Modified: seismo/3D/SPECFEM3D_GLOBE/trunk/doc/USER_MANUAL/manual_SPECFEM3D_GLOBE.tex
===================================================================
--- seismo/3D/SPECFEM3D_GLOBE/trunk/doc/USER_MANUAL/manual_SPECFEM3D_GLOBE.tex	2011-04-09 17:55:11 UTC (rev 18209)
+++ seismo/3D/SPECFEM3D_GLOBE/trunk/doc/USER_MANUAL/manual_SPECFEM3D_GLOBE.tex	2011-04-09 22:03:02 UTC (rev 18210)
@@ -157,15 +157,11 @@
 The spectral element approach admits spectral rates of convergence and allows exploiting $hp$-convergence schemes.
 It is also very well suited to parallel implementation on very large supercomputers \citep{KoTr02a,KoTsChTr03,TsKoChTr03,KoLaMi08a,CaKoLaTiMiLeSnTr08,KoViCh10} as well as on clusters of GPU accelerating graphics cards \citep{KoMiEr09,KoErGoMi10,Kom11}. Tensor products inside each element can be optimized to reach very high efficiency \citep{DeFiMu02}, and mesh point and element numbering can be optimized to reduce processor cache misses and improve cache reuse \citep{KoLaMi08a}. The SEM can also handle triangular (in 2D) or tetrahedral (in 3D) elements \citep{WinBoyd96,TaWi00,KoMaTrTaWi01,Coh02,MeViSa06} as well as mixed meshes, although with increased cost and reduced accuracy in these elements, as in the discontinuous Galerkin method.\\
 
-Note that in most geological models in the context of seismic wave propagation studies
-(except for fault dynamic rupture studies, in which very high frequencies or supershear rupture need to be modeled near the fault, see e.g. \cite{BeGlCrViPi07,BeGlCrVi09,PuAmKa09,TaCrEtViBeSa10})
-a discontinous mesh is not needed because material property contrasts are not drastic and thus a continuous formulation is sufficient;
+Note that in many geological models in the context of seismic wave propagation studies
+(except for instance for fault dynamic rupture studies, in which very high frequencies or supershear rupture need to be modeled near the fault, see e.g. \cite{BeGlCrViPi07,BeGlCrVi09,PuAmKa09,TaCrEtViBeSa10})
+a continuous formulation is sufficient because material property contrasts are not drastic and thus
 conforming mesh doubling bricks can efficiently handle mesh size variations \citep{KoTr02a,KoLiTrSuStSh04,LeChLiKoHuTr08,LeChKoHuTr09,LeKoHuTr09}.
-This is particularly true at the scale of the full Earth.
-Also, without significant modifications in the complexity of the
-discontinuous technique \citep{CaKaBr10,SmCoObOvSch10},
-usually those methods need to assume constant material properties inside
-each element, while the SEM can handle gradients inside each element.\\
+This is particularly true at the scale of the full Earth.\\
 
 For a detailed introduction to the SEM as applied to
 global and regional seismic wave propagation, please consult \citet{KoVi98,KoTr99,Ch00,KoTr02a,KoTr02b,KoRiTr02,ChCaVi03,CaChViMo03,ChVa04,ChKoViCaVaFe07,TrKoLi08}.