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# -*- coding: utf-8 -*-
"""Unit tests for the MultiMeshFunction class"""
# Copyright (C) 2016 Jørgen S. Dokken
#
# This file is part of DOLFIN.
#
# DOLFIN 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 3 of the License, or
# (at your option) any later version.
#
# DOLFIN 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 DOLFIN. If not, see <http://www.gnu.org/licenses/>.
#
#
# First added: 2016-06-11
# Last changed: 2017-07-18
import pytest
from dolfin import *
import ufl
import numpy
from dolfin_utils.test import fixture, skip_in_parallel
@fixture
def multimesh():
mesh_0 = RectangleMesh(Point(0,0), Point(1, 1), 20, 20)
mesh_1 = RectangleMesh(Point(numpy.pi/10,numpy.pi/9),
Point(numpy.pi/8,numpy.pi/7),5,8)
multimesh = MultiMesh()
multimesh.add(mesh_0)
multimesh.add(mesh_1)
multimesh.build()
return multimesh
@fixture
def V(multimesh):
element = FiniteElement("Lagrange", triangle, 1)
return MultiMeshFunctionSpace(multimesh, element)
@fixture
def V_high(multimesh):
element = FiniteElement("Lagrange", triangle, 3)
return MultiMeshFunctionSpace(multimesh, element)
@fixture
def V_vector(multimesh):
return MultiMeshVectorFunctionSpace(multimesh,"CG", 1)
@fixture
def e_x():
return Expression(("1.0","0.0"), degree=1)
@fixture
def f_vec2():
return Expression(("sin(x[1])","1.0"), degree=3)
@fixture
def v_vec(V_vector):
return MultiMeshFunction(V_vector)
@fixture
def f_vec():
return Expression(("x[0]","x[1]"),degree=2)
@fixture
def f():
return Expression("sin(pi*x[0])*cos(2*pi*x[1])", degree=4)
@fixture
def f_2():
return Expression("x[0]*x[1]",degree=2)
@fixture
def v(V):
return MultiMeshFunction(V)
@fixture
def v_high(V_high):
return MultiMeshFunction(V_high)
@skip_in_parallel
def test_measure_mul(v, multimesh):
assert isinstance(v*dX, ufl.form.Form)
@skip_in_parallel
def test_assemble_zero(v, multimesh):
assert numpy.isclose(assemble_multimesh(v*dX), 0)
@skip_in_parallel
def test_assemble_area(v, multimesh):
v.vector()[:] = 1
assert numpy.isclose(assemble_multimesh(v*dX), 1)
@skip_in_parallel
def test_assemble_exterior_facet(v, multimesh):
v.vector()[:] = 1
assert numpy.isclose(assemble_multimesh(v*ds), 4)
@skip_in_parallel
def test_interpolate(v_high, f):
v_high.interpolate(f)
assert numpy.isclose(assemble_multimesh(v_high*dX), 0)
@skip_in_parallel
def test_project(f, V_high):
v = project(f ,V_high)
assert numpy.isclose(assemble_multimesh(v*dX), 0)
@skip_in_parallel
def test_errornorm_L2(f_2, v_high):
const = Expression("1", degree=1)
v_high.interpolate(f_2)
assert numpy.isclose(errornorm(const, v_high, norm_type="L2", degree_rise=3), numpy.sqrt(22)/6)
@skip_in_parallel
def test_errornorm_H1(f, f_2, v_high):
v_high.interpolate(f_2)
assert numpy.isclose(errornorm(f, v_high, norm_type="H1", degree_rise=3), numpy.sqrt(37./36+5*numpy.pi**2/4))
@skip_in_parallel
def test_vector_space(v_vec,e_x,f_vec2,V_vector,f_vec):
v_vec.interpolate(e_x)
assert numpy.isclose(assemble_multimesh(inner(f_vec,v_vec)*dX), 0.5)
v_vec.interpolate(f_vec)
print((assemble_multimesh(inner(v_vec, f_vec2)*dX),
1/2 + numpy.sin(1/2)*numpy.sin(1/2)))
assert numpy.isclose(assemble_multimesh(inner(v_vec, f_vec2)*dX),
1/2 + numpy.sin(1/2)*numpy.sin(1/2))
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