Rheolef  7.1
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"+itos(k-1)+"d";
41  space Tht(omega, "RT"+itos(k)+"d");
42  space Wht(omega, approx, "vector");
43  space Mht(omega, "trace(P"+itos(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 }
mkgeo_ball.n
int n
Definition: mkgeo_ball.sh:150
form
see the form page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
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::normal
details::field_expr_v2_nonlinear_terminal_function< details::normal_pseudo_function< Float > > normal()
normal: see the expression page for the full documentation
Definition: field_expr_terminal.h:439
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
rheolef::h_local
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
Definition: field_expr_terminal.h:527
mkgeo_ball.d
int d
Definition: mkgeo_ball.sh:154
space
see the space page for the full documentation
rheolef::pow
space_mult_list< T, M > pow(const space_basic< T, M > &X, size_t n)
Definition: space_mult.h:120
rheolef.h
rheolef - reference manual
p
Definition: sphere.icc:25
rheolef::on_local_sides
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
Definition: field_expr_quadrature.h:321
rheolef::din
idiststream din
see the diststream page for the full documentation
Definition: diststream.h:427
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
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
Float
see the Float page for the full documentation
main
int main(int argc, char **argv)
Definition: dirichlet_hdg_post_rt.cc:28
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
rheolef::itos
std::string itos(std::string::size_type i)
itos: see the rheostream page for the full documentation
rheolef::std
Definition: vec_expr_v2.h:402
geo
see the geo page for the full documentation
rk::beta
Float beta[][pmax+1]
Definition: runge_kutta_semiimplicit.icc:60