From: raphael couturier Date: Thu, 4 Sep 2014 14:05:27 +0000 (+0200) Subject: modif X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/GMRES2stage.git/commitdiff_plain/5afe5dec82ac23172f39d88c51dc34697fff73ba?ds=inline modif --- diff --git a/paper.tex b/paper.tex index 087ff6e..1db9b19 100644 --- a/paper.tex +++ 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} + + %%%********************************************************* %%%*********************************************************