#! /usr/bin/perl -w # This file is part of ff3d - http://www.freefem.org/ff3d # Copyright (C) 2003 Laboratoire J.-L. Lions UPMC Paris # This program is free software; you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation; either version 2, or (at your option) # any later version. # This program is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # You should have received a copy of the GNU General Public License # along with this program; if not, write to the Free Software Foundation, # Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. # $Id: laplacian-spike.pl,v 1.1 2003/09/19 15:24:19 ArceneL Exp $ # A Laplacian on a spiky geometry. require 'check.ph'; # The Povray scene WriteFile('test.pov',<< 'EOF'); /* The sphere surrounds the box in such a way that only one corner still appears */ union{ box { <-1,-1,-1>,<1,1,1> } sphere { <-1,-1,-1>,1.42 } pigment { color rgb <1,0,0> } } EOF # Runs the FreeFEM3D script Run(<< 'EOF'); vector n = (20,20,20); vector a = (-4,-4,-4); vector b = (2,2,2); scene S = pov("test.pov"); mesh M = structured(n,a,b); domain O = domain(S,outside(<1,0,0>)); solve(u) in O by M{ pde(u) -div(grad(u)) = 0; u = 1 on <1,0,0>; u = 0 on M; }; save(medit,"test",u,M); EOF # Compares the resulting output with a reference VectorCheck('test.bb','laplacian-spike-ref.bb',1e-6); Report();