modif

[GMRES2stage.git] / paper.tex

diff --git a/paper.tex b/paper.tex
index 36298aa5ea5d0e07e8be169e7918b43b4b4d74dc..c66f8c71ae1ec2704b0db181df987640f4a3d97f 100644 (file)
--- a/paper.tex
+++ b/paper.tex
@@ -668,7 +668,8 @@ reused with the new values of the residuals.
 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
 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.
+characteristics. For all  the matrices, the name, the field,  the number of rows
+and the number of nonzero elements is given.

 
 \begin{table}
 \begin{center}
 
 \begin{table}
 \begin{center}


@@ -689,7 +690,12 @@ torso3             & 2D/3D problem & 259,156 & 4,429,042 \\
 \end{center}
 \end{table}
 
 \end{center}
 \end{table}
 

-
+In  table~\ref{tab:02}, some  experiments comparing  the sovling  of  the linear
+systems obtained with the previous matrices  with a GMRES variant and with out 2
+stage algorithm are  given. In the second column, it can  be noticed that either
+gmres or fgmres is used to  solve the linear system.  According to the matrices,
+different preconditioner is used.  With the 2  stage algorithm, the same
+solver and the same preconditionner is used.

 
 
 \begin{table}
 
 
 \begin{table}


@@ -701,7 +707,7 @@ torso3             & 2D/3D problem & 259,156 & 4,429,042 \\
        &  precond             & Time  & \# Iter.  & Time  & \# Iter.  \\\hline \hline
 
 crashbasis         & gmres / none             &  15.65     & 518  &  14.12 & 450  \\
        &  precond             & Time  & \# Iter.  & Time  & \# Iter.  \\\hline \hline
 
 crashbasis         & gmres / none             &  15.65     & 518  &  14.12 & 450  \\

-parabolic\_fem     & gmres / ilu           &  2152  & ?? & 724 & ?? \\
+parabolic\_fem     & gmres / ilu           & 1009.94   & 7573 & 401.52 & 2970 \\

 epb3               & fgmres / sor             &  8.67     & 600  &  8.21 & 540  \\
 atmosmodj          &  fgmres / sor & 104.23  & 451 & 88.97 & 366  \\
 bfwa398            & gmres / none  & 1.42 & 9612 & 0.28 & 1650 \\
 epb3               & fgmres / sor             &  8.67     & 600  &  8.21 & 540  \\
 atmosmodj          &  fgmres / sor & 104.23  & 451 & 88.97 & 366  \\
 bfwa398            & gmres / none  & 1.42 & 9612 & 0.28 & 1650 \\