Rheolef  7.1
an efficient C++ finite element environment
neumann-laplace.cc
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1 #include "rheolef.h"
26 using namespace rheolef;
27 using namespace std;
28 size_t d;
29 Float f (const point& x) { return 1; }
30 Float g (const point& x) { return -0.5/d; }
31 int main(int argc, char**argv) {
32  environment rheolef (argc, argv);
33  geo omega (argv[1]);
34  d = omega.dimension();
35  space Xh (omega, argv[2]);
36  trial u (Xh); test v (Xh);
37  form a = integrate (dot(grad(u),grad(v)));
38  field b = integrate(v);
39  field lh = integrate (f*v) + integrate ("boundary", g*v);
40  form A = {{ a, b},
41  { trans(b), 0}};
42  field Bh = { lh, 0};
43  field Uh (Bh.get_space(), 0);
44  A.set_symmetry(true);
45  problem p (A);
46  p.solve (Bh, Uh);
47  dout << Uh[0];
48 }
g
Float g(const point &x)
Definition: neumann-laplace.cc:30
form
see the form page for the full documentation
rheolef::dot
rheolef::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
dot(x,y): see the expression page for the full documentation
Definition: vec_expr_v2.h:415
field
see the field page for the full documentation
rheolef::integrate
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&! is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition: integrate.h:202
main
int main(int argc, char **argv)
Definition: neumann-laplace.cc:31
space
see the space page for the full documentation
rheolef::grad
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type grad(const Expr &expr)
grad(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:911
rheolef.h
rheolef - reference manual
p
Definition: sphere.icc:25
f
Float f(const point &x)
Definition: neumann-laplace.cc:29
a
Definition: diffusion_isotropic.h:25
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
lh
field lh(Float epsilon, Float t, const test &v)
Definition: burgers_diffusion_operators.icc:25
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
test
see the test page for the full documentation
problem
see the problem page for the full documentation
u
Definition: leveque.h:25
Float
see the Float page for the full documentation
point
see the point page for the full documentation
u
Float u(const point &x)
Definition: transmission_error.cc:26
mkgeo_ball.b
b
Definition: mkgeo_ball.sh:152
mkgeo_ball.a
a
Definition: mkgeo_ball.sh:151
g
Definition: cavity_dg.h:25
trial
see the test page for the full documentation
rheolef::dout
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
f
Definition: cavity_dg.h:29
rheolef::trans
csr< T, sequential > trans(const csr< T, sequential > &a)
trans(a): see the form page for the full documentation
Definition: csr.h:455
rheolef::std
Definition: vec_expr_v2.h:391
geo
see the geo page for the full documentation
d
size_t d
Definition: neumann-laplace.cc:28