X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/Krylov_multi.git/blobdiff_plain/1e2fbfd32f825b023fdc9af78a0565ba2ae93a6c..a5cc060a0ba3e9cee743f3c3c6e836a769deeaee:/krylov_multi.tex?ds=sidebyside

diff --git a/krylov_multi.tex b/krylov_multi.tex
index 6e1f16c..dca87e4 100644
--- a/krylov_multi.tex
+++ b/krylov_multi.tex
@@ -362,24 +362,65 @@ it. In the following we presented  some experiments we could achieved out on the
 Hector architecture,  the previous UK's  high-end computing resource,  funded by
 the UK Research Councils, which has been stopped in the early 2014.
 
-In the experiments  we report the size of the 3D  poisson considered, the number
-of processors used  (with the decomposition for the  multisplitting), the number
-of iterations for the GMRES method and the krylov multisplitting one and finally
-the execution  times. We  also give  the other parameters:  the restart  for the
-GRMES method
+In the experiments  we report the size of the 3D  poisson considered
 
 
+The first column  shows the size of the  problem The size is chosen  in order to
+have approximately 50,000 components per core.  The second column represents the
+number of  cores used. In parenthesis,  there is the decomposition  used for the
+Krylov multisplitting. The  third column and the sixth  column respectively show
+the execution time for the GMRES  and the Kyrlow multisplitting code. The fourth
+and  the   seventh  column   describes  the  number   of  iterations.   For  the
+multisplitting  code, the  total number  of inner  iterations is  represented in
+parenthesis.
+
+ We  also give  the other parameters:  the restart  for the GRMES method....
+
 \begin{table}[p]
 \begin{center}
-\begin{tabular}{|c||c|c|} 
+\begin{tabular}{|c|c||c|c|c||c|c|c||c|} 
+\hline
+\multirow{2}{*}{Pb size}&\multirow{2}{*}{Nb. cores} &  \multicolumn{3}{c||}{GMRES} &  \multicolumn{3}{c||}{Krylov Multisplitting} & \multirow{2}{*}{Ratio}\\
+ \cline{3-8}
+           &                   &  Time (s) & nb Iter. & $\Delta$  &   Time (s)& nb Iter. & $\Delta$ & \\
+\hline
+
+$590^3$ & 4096 (2x2048)        &  433.1    & 55,494    & 4.92e-7  &  74.1    & 1,101(8,211) & 6.62e-08  & 5.84   \\
+\hline
+$743^3$ & 8192 (2x4096)        & 704.4     & 87,822    & 4.80e-07 &  151.2   & 3,061(14,914) & 5.87e-08 & 4.65    \\
 \hline
-Problem size & 
+$743^3$ & 8192 (4x2048)        & 704.4     & 87,822    & 4.80e-07 &  110.3   & 1,531(12,721) & 1.47e-07& 6.39  \\
+\hline
+
 \end{tabular}
-\caption{CAPTION}
+\caption{Results without preconditioner}
 \label{tab1}
 \end{center}
 \end{table}
 
+
+\begin{table}[p]
+\begin{center}
+\begin{tabular}{|c|c||c|c|c||c|c|c||c|} 
+\hline
+\multirow{2}{*}{Pb size}&\multirow{2}{*}{Nb. cores} &  \multicolumn{3}{c||}{GMRES} &  \multicolumn{3}{c||}{Krylov Multisplitting} & \multirow{2}{*}{Ratio}\\
+ \cline{3-8}
+           &                   &  Time (s) & nb Iter. & $\Delta$  &   Time (s)& nb Iter. & $\Delta$ & \\
+\hline
+
+$590^3$ & 4096 (2x2048)        &  433.0    & 55,494    & 4.92e-7  &  80.4    & 1,091(9,545) & 7.64e-08  & 5.39   \\
+\hline
+$743^3$ & 8192 (2x4096)        & 704.4     & 87,822    & 4.80e-07 &  110.2   & 1,401(12,379) & 1.11e-07 & 6.39    \\
+\hline
+$743^3$ & 8192 (4x2048)        & 704.4     & 87,822    & 4.80e-07 &  139.8   & 1,891(15,960) & 1.60e-07& 5.03  \\
+\hline
+
+\end{tabular}
+\caption{Results with preconditioner}
+\label{tab2}
+\end{center}
+\end{table}
+
 \section{Conclusion and perspectives}
 
 Other applications (=> other matrices)\\