l2-derivative-projection-cartesian-q1.at

这是FreeFem2D的姊妹软件

# This file is part of ff3d - http://www.freefem.org/ff3d
# Copyright (C) 2005 Stephane Del Pino

# 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: l2-derivative-projection-cartesian-q1.at,v 1.3 2006/03/18 16:19:45 delpinux Exp $

AT_SETUP([L2-projection derivatives (cartesian Q1-FEM)])

AT_DATA([test.ff],
[[
vertex a = (0,0,0);
vertex b = (1,2,3);
vertex n = (3,7,6);

mesh M = structured(n,a,b);

femfunction u(M) = x+2*y-6*z+3*x*y+2*x*z-y*z+2*x*y*z;
function ux = 1+3*y+2*z+2*y*z;
function uy = 2+3*x-z+2*x*z;
function uz = -6+2*x-y+2*x*y;

solve(dxu) in M
  cg(epsilon=1E-20),
  krylov(precond=diagonal)
{
  pde(dxu)
   dxu = dx(u);
}

solve(dyu) in M
  cg(epsilon=1E-20),
  krylov(precond=diagonal)
{
  pde(dyu)
   dyu = dy(u);
}

solve(dzu) in M
  cg(epsilon=1E-20),
  krylov(precond=diagonal)
{
  pde(dzu)
   dzu = dz(u);
}

double l2errorx = sqrt(int[M]((dxu-ux)^2));
if (l2errorx < 1E-8)
  cout << "dx(u): ok\n";
else
  cout << "oops: dx(u) l2-error is " << l2errorx << "\n";


double l2errory = sqrt(int[M]((dyu-uy)^2));
if (l2errory < 1E-8)
  cout << "dy(u): ok\n";
else
  cout << "oops: dy(u) l2-error is " << l2errory << "\n";

double l2errorz = sqrt(int[M]((dzu-uz)^2));
if (l2errorz < 1E-8)
  cout << "dz(u): ok\n";
else
  cout << "oops: dz(u) l2-error is " << l2errorz << "\n";
]])

AT_CHECK([$abs_top_builddir/ff3d -V 0 -nw test.ff],0,
[[dx(u): ok
dy(u): ok
dz(u): ok
]])

AT_CLEANUP