[cig-commits] commit: Removed extraneous labels in preconditioner table.
Mercurial
hg at geodynamics.org
Mon Aug 13 17:38:50 PDT 2012
changeset: 133:007ad2fd2670
tag: tip
user: Brad Aagaard <baagaard at usgs.gov>
date: Mon Aug 13 17:38:47 2012 -0700
files: faultRup.tex
description:
Removed extraneous labels in preconditioner table.
diff -r 4d2adcbbbfe6 -r 007ad2fd2670 faultRup.tex
--- a/faultRup.tex Mon Aug 13 17:30:52 2012 -0700
+++ b/faultRup.tex Mon Aug 13 17:38:47 2012 -0700
@@ -1829,6 +1829,7 @@ simulations of earthquake rupture propag
% ------------------------------------------------------------------
% TABLES
% ------------------------------------------------------------------
+\clearpage
\begin{table}
\caption{Example Preconditioners for the Saddle Point Problem in
Equation~(\ref{eqn:saddle:point})\tablenotemark{a}}
@@ -1836,7 +1837,7 @@ simulations of earthquake rupture propag
\centering
\begin{tabular}{ll}
AMG with additive relaxation & AMG with multiplicative relaxation \\
- $\begin{pmatrix}\bm{K} & \bm{0} \\ \bm{0} & \bm{I}\end{pmatrix}$~\label{prec:add} & $\begin{pmatrix}\bm{K} & \bm{L}^T \\ \bm{0} & \bm{I}\end{pmatrix}$ \label{prec:mult}\\
+ $\begin{pmatrix}\bm{K} & \bm{0} \\ \bm{0} & \bm{I}\end{pmatrix}$ & $\begin{pmatrix}\bm{K} & \bm{L}^T \\ \bm{0} & \bm{I}\end{pmatrix}$\\
\texttt{[pylithapp.problem.formulation]} & \texttt{[pylithapp.problem.formulation]} \\
\texttt{split\_fields = True} & \texttt{split\_fields = True} \\
\texttt{matrix\_type = aij} & \texttt{matrix\_type = aij} \\
@@ -1850,7 +1851,7 @@ simulations of earthquake rupture propag
\texttt{fs\_fieldsplit\_1\_ksp\_type = gmres} & \texttt{fs\_fieldsplit\_1\_ksp\_type = gmres} \\
\smallskip \\
Schur complement, upper factorization & Schur complement, full factorization \\
- $\begin{pmatrix}\bm{K} & \bm{L}^T \\ \bm{0} & \bm{S}\end{pmatrix}$ \label{prec:schurUpper} & $\begin{pmatrix}\bm{I} & \bm{0} \\ \bm{B}^T \bm{A}^{-1} & \bm{I}\end{pmatrix}\begin{pmatrix}\bm{A} & \bm{0} \\ \bm{0} & \bm{S}\end{pmatrix}\begin{pmatrix}\bm{I} & \bm{A}^{-1} \bm{B} \\ \bm{0} & \bm{I}\end{pmatrix}$ \label{prec:schurFull}\\
+ $\begin{pmatrix}\bm{K} & \bm{L}^T \\ \bm{0} & \bm{S}\end{pmatrix}$ & $\begin{pmatrix}\bm{I} & \bm{0} \\ \bm{B}^T \bm{A}^{-1} & \bm{I}\end{pmatrix}\begin{pmatrix}\bm{A} & \bm{0} \\ \bm{0} & \bm{S}\end{pmatrix}\begin{pmatrix}\bm{I} & \bm{A}^{-1} \bm{B} \\ \bm{0} & \bm{I}\end{pmatrix}$ \\
\texttt{[pylithapp.problem.formulation]} & \texttt{[pylithapp.problem.formulation]} \\
\texttt{split\_fields = True} & \texttt{split\_fields = True} \\
\texttt{matrix\_type = aij} & \texttt{matrix\_type = aij} \\
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