#! /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-lens.pl,v 1.1 2003/09/19 15:24:19 ArceneL Exp $ # A Laplacian on a lens-like geometry. The value of this test is # that it defines boundary conditions on pieces of objects. require 'check.ph'; # The Povray scene WriteFile('test.pov',<< 'EOF'); /* We define two spheres to be able to apply different boundary conditions on each */ sphere { <0,0,0>,1 pigment { color rgb <1,0,0> } } sphere { <1,0,0>,1 pigment { color rgb <0,1,0> } } EOF # Runs the FreeFEM3D script Run(<< 'EOF'); vector n = (16,16,16); vector a = (-2,-2,-2); vector b = (3,2,2); scene S = pov("test.pov"); mesh M = structured(n,a,b); domain O = domain(S,inside(<1,0,0>) and inside(<0,1,0>)); solve(u) in O by M{ pde(u) -div(grad(u)) = 0; u = 1 on <1,0,0>; dnu(u) = 0 on <0,1,0>; u = 0 on M; }; save(medit,"test",u,M); // Also saves mesh, just for debugging purposes save(medit,"test",M); EOF # Compares the resulting output with a reference VectorCheck('test.bb','laplacian-lens-ref.bb',1e-6); Report();