From 093d9a0c041ba671daae9fba711b2ba2a937060e Mon Sep 17 00:00:00 2001 From: raphael couturier Date: Thu, 10 Apr 2014 21:44:31 +0200 Subject: [PATCH] suite --- krylov_multi.tex | 32 +++++++++++++++++++++++++------- 1 file changed, 25 insertions(+), 7 deletions(-) diff --git a/krylov_multi.tex b/krylov_multi.tex index 6e1f16c..14797c2 100644 --- a/krylov_multi.tex +++ b/krylov_multi.tex @@ -362,18 +362,36 @@ 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) & 462.6 & 55,494 & 4.92e-7 & 74.1 & 1,101(8,211) & 6.62e-08 & 6.25 \\ +\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} \label{tab1} -- 2.39.5