From: Christophe Guyeux Date: Mon, 13 Oct 2014 14:57:22 +0000 (+0200) Subject: oeujoirauez X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/GMRES2stage.git/commitdiff_plain/348f3de01d413c95e0ee5a51971ad04d01d9fec5?ds=inline oeujoirauez --- diff --git a/paper.tex b/paper.tex index fdb9094..3d4826c 100644 --- a/paper.tex +++ b/paper.tex @@ -966,12 +966,12 @@ architecture are equiped with a dedicated high speed network. In many situations, using preconditioners is essential in order to find the solution of a linear system. There are many preconditioners available in PETSc. -For parallel applications all the preconditioners based on matrix factorization +However, for parallel applications, all the preconditioners based on matrix factorization are not available. In our experiments, we have tested different kinds of -preconditioners, however as it is not the subject of this paper, we will not +preconditioners, but as it is not the subject of this paper, we will not present results with many preconditioners. In practice, we have chosen to use a -multigrid (mg) and successive over-relaxation (sor). For more details on the -preconditioner in PETSc please consult~\cite{petsc-web-page}. +multigrid (mg) and successive over-relaxation (sor). For further details on the +preconditioner in PETSc, reader is referred to~\cite{petsc-web-page}. @@ -994,7 +994,7 @@ preconditioner in PETSc please consult~\cite{petsc-web-page}. \hline \end{tabular} -\caption{Comparison of FGMRES and TSIRM with FGMRES for example ex15 of PETSc with two preconditioners (mg and sor) with 25,000 components per core on Juqueen ($\epsilon_{tsirm}=1e-3$, $max\_iter_{kryl}=30$, $s=12$, $max\_iter_{ls}=15$, $\epsilon_{ls}=1e-40$), time is expressed in seconds.} +\caption{Comparison of FGMRES and TSIRM with FGMRES for example ex15 of PETSc with two preconditioners (mg and sor) having 25,000 components per core on Juqueen ($\epsilon_{tsirm}=1e-3$, $max\_iter_{kryl}=30$, $s=12$, $max\_iter_{ls}=15$, $\epsilon_{ls}=1e-40$), time is expressed in seconds.} \label{tab:03} \end{center} \end{table*}