From 108b6ffda00e3d8bf697f0f6ee88c0c6e9d53e3f Mon Sep 17 00:00:00 2001 From: lilia Date: Mon, 28 Apr 2014 17:33:50 +0200 Subject: [PATCH] v7 --- hpcc.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) 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), -- 2.39.5