From: laiymani Date: Mon, 28 Apr 2014 12:46:20 +0000 (+0200) Subject: corrections X-Git-Tag: hpcc2014_submission~43 X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/hpcc2014.git/commitdiff_plain/7509f7bc4a76338951fc145f7c10a932fe8144cc?ds=sidebyside corrections --- diff --git a/hpcc.tex b/hpcc.tex index 81062de..98a55ff 100644 --- a/hpcc.tex +++ b/hpcc.tex @@ -288,6 +288,8 @@ These two techniques can help to run simulations at a very large scale. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{Simulation of the multisplitting method} + +\subsection{The multisplitting method} %Décrire le problème (algo) traité ainsi que le processus d'adaptation à SimGrid. Let $Ax=b$ be a large sparse system of $n$ linear equations in $\mathbb{R}$, where $A$ is a sparse square and nonsingular matrix, $x$ is the solution vector and $b$ is the right-hand side vector. We use a multisplitting method based on the block Jacobi splitting to solve this linear system on a large scale platform composed of $L$ clusters of processors~\cite{o1985multi}. In this case, we apply a row-by-row splitting without overlapping \begin{equation*} @@ -442,6 +444,8 @@ The parallel solving of the 3D Poisson problem with our multisplitting method re \end{figure} +\subsection{Simulation of the multisplitting method using SimGrid and SMPI} + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%