Rheolef  7.1
an efficient C++ finite element environment
neumann_dg.cc
Go to the documentation of this file.
1 #include "rheolef.h"
26 using namespace rheolef;
27 using namespace std;
28 #include "sinusprod_helmholtz.h"
29 int main(int argc, char**argv) {
30  environment rheolef (argc, argv);
31  geo omega (argv[1]);
32  space Xh (omega, argv[2]);
33  size_t d = omega.dimension();
34  size_t k = Xh.degree();
35  Float beta = (k+1)*(k+d)/Float(d);
36  trial u (Xh); test v (Xh);
37  form a = integrate (u*v + dot(grad_h(u),grad_h(v)))
38  + integrate ("internal_sides",
39  beta*penalty()*jump(u)*jump(v)
40  - jump(u)*average(dot(grad_h(v),normal()))
41  - jump(v)*average(dot(grad_h(u),normal())));
42  field lh = integrate (f(d)*v) + integrate ("boundary", g(d)*v);
43  field uh(Xh);
44  problem p (a);
45  p.solve (lh, uh);
46  dout << uh;
47 }
u_exact g
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 problem page for the full documentation
see the environment page for the full documentation
Definition: environment.h:115
double Float
see the Float page for the full documentation
Definition: Float.h:143
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
see the space page for the full documentation
see the test page for the full documentation
see the test page for the full documentation
This file is part of Rheolef.
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_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type grad_h(const Expr &expr)
grad_h(uh): see the expression page for the full documentation
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
details::field_expr_v2_nonlinear_terminal_function< details::penalty_pseudo_function< Float > > penalty()
penalty(): see the expression page for the full documentation
details::field_expr_v2_nonlinear_terminal_function< details::normal_pseudo_function< Float > > normal()
normal: see the expression page for the full documentation
Float beta[][pmax+1]
int main(int argc, char **argv)
Definition: neumann_dg.cc:29
rheolef - reference manual
The sinus product function – right-hand-side and boundary condition for the Helmholtz problem.
Definition: sphere.icc:25
Definition: leveque.h:25
Float u(const point &x)