1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
|
"""Unit tests for the solve function"""
# Copyright (C) 2011 Anders Logg
#
# 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/>.
import pytest
from dolfin import *
from dolfin_utils.test import *
def test_bcs():
"Check that the bcs argument is picked up"
mesh = UnitSquareMesh(4, 4)
V = FunctionSpace(mesh, "Lagrange", 1)
u = TrialFunction(V)
v = TestFunction(V)
f = Constant(100.0)
a = dot(grad(u), grad(v))*dx + u*v*dx
L = f*v*dx
bc = DirichletBC(V, 0.0, DomainBoundary())
# Single bc argument
u1 = Function(V)
solve(a == L, u1, bc)
# List of bcs
u2 = Function(V)
solve(a == L, u2, [bc])
# Single bc keyword argument
u3 = Function(V)
solve(a == L, u3, bcs=bc)
# List of bcs keyword argument
u4 = Function(V)
solve(a == L, u4, bcs=[bc])
# Check all solutions
assert round(u1.vector().norm("l2") - 14.9362601686, 10) == 0
assert round(u2.vector().norm("l2") - 14.9362601686, 10) == 0
assert round(u3.vector().norm("l2") - 14.9362601686, 10) == 0
assert round(u4.vector().norm("l2") - 14.9362601686, 10) == 0
def test_bcs_space():
"Check that the bc space is checked to be a subspace of trial space"
mesh = UnitSquareMesh(4, 4)
V = FunctionSpace(mesh, "Lagrange", 1)
u = TrialFunction(V)
v = TestFunction(V)
f = Constant(100.0)
a = dot(grad(u), grad(v))*dx + u*v*dx
L = f*v*dx
Q = FunctionSpace(mesh, "Lagrange", 2)
bc = DirichletBC(Q, 0.0, DomainBoundary())
u = Function(V)
with pytest.raises(RuntimeError):
solve(a == L, u, bc)
with pytest.raises(RuntimeError):
solve(action(a, u) - L == 0, u, bc)
def test_calling():
"Test that unappropriate arguments are not allowed"
mesh = UnitSquareMesh(4, 4)
V = FunctionSpace(mesh, "Lagrange", 1)
u = TrialFunction(V)
v = TestFunction(V)
f = Constant(100.0)
a = dot(grad(u), grad(v))*dx + u*v*dx
L = f*v*dx
bc = DirichletBC(V, 0.0, DomainBoundary())
kwargs = {"solver_parameters":{"linear_solver": "lu"},
"form_compiler_parameters":{"optimize": True}}
A = assemble(a)
b = assemble(L)
x = Vector()
with pytest.raises(RuntimeError):
solve(A, x, b, **kwargs)
# FIXME: Include more tests for this versatile function
def test_nonlinear_variational_solver_custom_comm():
"Check that nonlinear variational solver works on subset of comm_world"
if MPI.rank(MPI.comm_world) == 0:
mesh = UnitIntervalMesh(MPI.comm_self, 2)
V = FunctionSpace(mesh, "CG", 1)
f = Constant(1)
u = Function(V)
v = TestFunction(V)
F = inner(u, v)*dx - inner(f, v)*dx
# Check that following does not deadlock
solve(F == 0, u)
solve(F == 0, u, solver_parameters={"nonlinear_solver": "newton"})
if has_petsc():
solve(F == 0, u, solver_parameters={"nonlinear_solver": "snes"})
|
