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#!/usr/bin/env python
# -*- coding: utf-8 -*-
# Python GetFEM interface
#
# Copyright (C) 2018-2020 Yves Renard.
#
# This file is a part of GetFEM
#
# GetFEM is free software; you can redistribute it and/or modify it
# under the terms of the GNU Lesser General Public License as published
# by the Free Software Foundation; either version 2.1 of the License, 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 Lesser General Public
# License for more details.
# You should have received a copy of the GNU Lesser General Public License
# along with this program; if not, write to the Free Software Foundation,
# Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA.
#
############################################################################
""" Test of the assembly on the direct product of two domains.
This program is used to check that Python-GetFEM interface, and more
generally GetFEM are working. It focuses on testing some operations
of the high generic assembly language.
$Id$
"""
import numpy as np
import getfem as gf
NX = 4
m1 = gf.Mesh('cartesian', np.arange(0,1+1./NX,1./NX)) # Structured 1D mesh
mfu1 = gf.MeshFem(m1, 1); mfu1.set_fem(gf.Fem('FEM_PK(1,1)'))
mim1 = gf.MeshIm(m1, gf.Integ('IM_GAUSS1D(4)'))
U1 = mfu1.eval('x')
m2 = gf.Mesh('triangles grid', np.arange(0,1+1./NX,1./NX),
np.arange(0,1+1./NX,1./NX)) # Structured 2D mesh
mfu2 = gf.MeshFem(m2, 1); mfu2.set_fem(gf.Fem('FEM_PK(2,1)'))
mim2 = gf.MeshIm(m2, gf.Integ('IM_TRIANGLE(4)'))
U2 = mfu2.eval('x+y')
md = gf.Model('real')
md.add_fem_variable('u1', mfu1)
md.set_variable('u1', U1)
md.add_fem_variable('u2', mfu2)
md.set_variable('u2', U2)
md.add_standard_secondary_domain('secdom', mim2);
result = gf.asm('generic', mim1, 0, "u1*Secondary_Domain(u2)", -1, md,
"Secondary_domain", "secdom")
if (abs(result-0.5) > 1e-8) : print("Bad value"); exit(1)
result = gf.asm('generic', mim1, 0, "u1*(Secondary_Domain(Grad_u2)(1))", -1, md,
"Secondary_domain", "secdom")
if (abs(result-0.5) > 1e-8) : print("Bad value"); exit(1)
result = gf.asm('generic', mim1, 0,
"u1*(Secondary_Domain(X)(1)+Secondary_Domain(X)(2))", -1, md,
"Secondary_domain", "secdom")
if (abs(result-0.5) > 1e-8) : print("Bad value"); exit(1)
result = gf.asm('generic', mim1, 0, "u1*sqr(Secondary_Domain(u2))", -1, md,
"Secondary_domain", "secdom")
if (abs(result-7./12.) > 1e-8) : print("Bad value"); exit(1)
M = gf.asm('generic', mim1, 2, "Test_u1*Secondary_Domain(Test2_u2)", -1, md,
"Secondary_domain", "secdom")
V1 = gf.asm('generic', mim1, 1, "Test_u1", -1, md)
V2 = gf.asm('generic', mim2, 1, "Test_u2", -1, md)
for i in range(0, V1.size):
for j in range(0, V2.size):
if (abs(M[i,j] - V1[i]*V2[j]) > 1E-8):
print("Bad value for matrix assembly"); exit(1)
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