X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/GMRES2stage.git/blobdiff_plain/67de434b39a9f2df1984bae1717a1bd52916f54d..5afe5dec82ac23172f39d88c51dc34697fff73ba:/paper.tex

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+++ b/paper.tex
@@ -663,6 +663,56 @@ reused with the new values of the residuals.
 \section{Experiments using petsc}
 \label{sec:04}
 
+
+In order to see the influence of our algorithm with only one processor, we first
+show  a comparison  with the  standard version  of GMRES  and our  algorithm. In
+table~\ref{tab:01},  we  show  the  matrices  we  have used  and  some  of  them
+characteristics.
+
+\begin{table}
+\begin{center}
+\begin{tabular}{|c|c|r|r|r|} 
+\hline
+Matrix name              & Field             &\# Rows   & \# Nonzeros   \\\hline \hline
+crashbasis         & Optimization      & 160,000  &  1,750,416  \\
+parabolic\_fem     & Computational fluid dynamics  & 525,825 & 2,100,225 \\
+epb3               & Thermal problem   & 84,617  & 463,625  \\
+atmosmodj          & Computational fluid dynamics  & 1,270,432 & 8,814,880 \\
+bfwa398            & Electromagnetics problem & 398 & 3,678 \\
+torso3             & 2D/3D problem & 259,156 & 4,429,042 \\
+\hline
+
+\end{tabular}
+\caption{Main characteristics of the sparse matrices chosen from the Davis collection}
+\label{tab:01}
+\end{center}
+\end{table}
+
+
+
+
+%% \begin{table}
+%% \begin{center}
+%% \begin{tabular}{|c|c|r|r|r|} 
+%% \hline
+
+%%  Matrix name       & GMRES version             &\# Rows   & \# Nonzeros   \\\hline \hline
+
+%% crashbasis         & GMRES              & Optimization      & 160,000  &  1,750,416  \\
+%% parabolic\_fem     &                    & Computational fluid dynamics  & 525,825 & 2,100,225 \\
+%% epb3               &                    & Thermal problem   & 84,617  & 463,625  \\
+%% atmosmodj          & Computational fluid dynamics  & 1,270,432 & 8,814,880 \\
+%% bfwa398            & Electromagnetics problem & 398 & 3,678 \\
+%% torso3             & 2D/3D problem & 259,156 & 4,429,042 \\
+%% \hline
+
+%% \end{tabular}
+%% \caption{Comparison of GMRES and 2 stage GMRES algorithms in sequential with some matrices}
+%% \label{tab:01}
+%% \end{center}
+%% \end{table}
+
+
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