Rheolef  7.2
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 }
field lh(Float epsilon, Float t, const test &v)
see the Float page for the full documentation
see the field page for the full documentation
see the form page for the full documentation
see the geo page for the full documentation
see the point page for the full documentation
see the problem page for the full documentation
see the environment page for the full documentation
Definition: environment.h:121
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:467
see the space page for the full documentation
see the test page for the full documentation
see the test page for the full documentation
point u(const point &x)
This file is part of Rheolef.
std::enable_if< details::has_field_rdof_interface< 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
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 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
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:211
size_t d
int main(int argc, char **argv)
Float f(const point &x)
Float g(const point &x)
rheolef - reference manual
Definition: cavity_dg.h:29
Definition: cavity_dg.h:25
Definition: sphere.icc:25
Definition: leveque.h:25