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
|
# Copyright (C) 2004-2007 Anders Logg
#
# This file is part of FFCx.
#
# FFCx 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.
#
# FFCx 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 FFCx. If not, see <http://www.gnu.org/licenses/>.
#
# The bilinear form a(u, v) and linear form L(v) for
# Poisson's equation.
#
# Compile this form with FFCx: ffcx Poisson.ufl
from ufl import (Coefficient, Constant, FiniteElement, Mesh, TestFunction,
TrialFunction, VectorElement, dx, grad, inner, triangle)
cell = triangle
mesh = Mesh(VectorElement('P', cell, 2))
element = FiniteElement("Lagrange", triangle, 2)
u = TrialFunction(element)
v = TestFunction(element)
f = Coefficient(element)
kappa1 = Constant(triangle, shape=(2, 2))
kappa2 = Constant(triangle, shape=(2, 2))
a = inner(kappa1, kappa2) * inner(grad(u), grad(v)) * dx
L = f * v * dx
|
