Rheolef  7.2
an efficient C++ finite element environment
dirichlet_hdg_post_rt.cc
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1 #include "rheolef.h"
26 using namespace rheolef;
27 using namespace std;
28 int main(int argc, char**argv) {
29  environment rheolef (argc, argv);
30  Float n, beta;
31  field sigma_h, uh, lambda_h;
32  din >> catchmark("n") >> n
33  >> catchmark("beta") >> beta
34  >> catchmark("u") >> uh
35  >> catchmark("lambda") >> lambda_h
36  >> catchmark("sigma") >> sigma_h;
37  const geo& omega = uh.get_geo();
38  size_t d = omega.dimension();
39  size_t k = uh.get_space().degree();
40  string approx = (k == 0) ? "empty" : "P"+to_string(k-1)+"d";
41  space Tht(omega, "RT"+to_string(k)+"d");
42  space Wht(omega, approx, "vector");
43  space Mht(omega, "trace_n(RT"+to_string(k)+"d)");
44  space Sht = Wht*Mht;
45  trial sigma_t (Tht); test tau (Sht);
46  auto tau_internal = tau[0], tau_n = tau[1];
47  auto coef = beta*pow(h_local(),n);
48  form aht = integrate (dot(sigma_t, tau_internal)
49  + on_local_sides (dot(sigma_t,normal())*tau_n));
50  field lht = integrate(dot(sigma_h, tau_internal)
51  + on_local_sides((dot(sigma_h,normal())
52  + coef*(lambda_h - uh))*tau_n));
53  field sigma_ht (Tht);
54  problem p (aht);
55  p.solve (lht, sigma_ht);
56  dout << catchmark("n") << n << endl
57  << catchmark("beta") << beta << endl
58  << catchmark("u") << uh
59  << catchmark("lambda") << lambda_h
60  << catchmark("sigma") << sigma_h
61  << catchmark("sigmat") << sigma_ht;
62 }
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 catchmark page for the full documentation
Definition: catchmark.h:67
see the environment page for the full documentation
Definition: environment.h:121
idiststream din(cin)
see the diststream page for the full documentation
Definition: diststream.h:464
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
int main(int argc, char **argv)
This file is part of Rheolef.
details::field_expr_v2_nonlinear_terminal_function< details::h_local_pseudo_function< Float > > h_local()
h_local: see the expression page for the full documentation
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_variational_arg< Expr >::value,details::field_expr_quadrature_on_sides< Expr > >::type on_local_sides(const Expr &expr)
on_local_sides(expr): 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:211
space_mult_list< T, M > pow(const space_basic< T, M > &X, size_t n)
Definition: space_mult.h:120
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]
rheolef - reference manual
Definition: sphere.icc:25