From: lilia <lilia@amazigh.bordeaux.inria.fr>
Date: Mon, 28 Apr 2014 15:33:50 +0000 (+0200)
Subject: v7
X-Git-Tag: hpcc2014_submission~19
X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/hpcc2014.git/commitdiff_plain/108b6ffda00e3d8bf697f0f6ee88c0c6e9d53e3f?ds=sidebyside;hp=-c

v7
---

108b6ffda00e3d8bf697f0f6ee88c0c6e9d53e3f
diff --git a/hpcc.tex b/hpcc.tex
index 66dbbfc..6a39362 100644
--- a/hpcc.tex
+++ b/hpcc.tex
@@ -422,7 +422,7 @@ u =0 \text{~on~} \Gamma =\partial\Omega
 \right.
 \label{eq:02}
 \end{equation}
-where $\nabla^2$ is the Laplace operator, $f$ and $u$ are real-valued functions, and $\Omega=[0,1]^3$. The spatial discretization with a finite difference scheme reduces problem~(\ref{eq:02}) to a system of sparse linear equations. Our multisplitting method solves the 3D Poisson problem using a seven point stencil whose the general expression could be written as
+where $\nabla^2$ is the Laplace operator, $f$ and $u$ are real-valued functions, and $\Omega=[0,1]^3$. The spatial discretization with a finite differences scheme reduces problem~(\ref{eq:02}) to a system of sparse linear equations. Our multisplitting method solves the 3D Poisson problem using a seven point stencil whose the general expression could be written as
 \begin{equation}
 \begin{array}{l}
 u(x-1,y,z) + u(x,y-1,z) + u(x,y,z-1)\\+u(x+1,y,z)+u(x,y+1,z)+u(x,y,z+1) \\ -6u(x,y,z)=h^2f(x,y,z),