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dirichlet_hdg_post_rt.cc

The Poisson problem by the hybrid discontinuous Galerkin method – post-treatment with the Raviart-Thomas element.

The Poisson problem by the hybrid discontinuous Galerkin method – post-treatment with the Raviart-Thomas element

#include "rheolef.h"
using namespace rheolef;
using namespace std;
int main(int argc, char**argv) {
environment rheolef (argc, argv);
Float n, beta;
field sigma_h, uh, lambda_h;
din >> catchmark("n") >> n
>> catchmark("beta") >> beta
>> catchmark("u") >> uh
>> catchmark("lambda") >> lambda_h
>> catchmark("sigma") >> sigma_h;
const geo& omega = uh.get_geo();
size_t d = omega.dimension();
size_t k = uh.get_space().degree();
string approx = (k == 0) ? "empty" : "P"+to_string(k-1)+"d";
space Tht(omega, "RT"+to_string(k)+"d");
space Wht(omega, approx, "vector");
space Mht(omega, "trace_n(RT"+to_string(k)+"d)");
space Sht = Wht*Mht;
trial sigma_t (Tht); test tau (Sht);
auto tau_internal = tau[0], tau_n = tau[1];
auto coef = beta*pow(h_local(),n);
form aht = integrate (dot(sigma_t, tau_internal)
+ on_local_sides (dot(sigma_t,normal())*tau_n));
field lht = integrate(dot(sigma_h, tau_internal)
+ on_local_sides((dot(sigma_h,normal())
+ coef*(lambda_h - uh))*tau_n));
field sigma_ht (Tht);
problem p (aht);
p.solve (lht, sigma_ht);
dout << catchmark("n") << n << endl
<< catchmark("beta") << beta << endl
<< catchmark("u") << uh
<< catchmark("lambda") << lambda_h
<< catchmark("sigma") << sigma_h
<< catchmark("sigmat") << sigma_ht;
}
Float
see the Float page for the full documentation
field
see the field page for the full documentation
form
see the form page for the full documentation
geo
see the geo page for the full documentation
problem
see the problem page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition catchmark.h:67
rheolef::environment
see the environment page for the full documentation
Definition environment.h:121
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
main
int main()
Definition field2bb.cc:58
rheolef
This file is part of Rheolef.
Definition compiler_eigen.h:39
std
STL namespace.
d
size_t d
Definition neumann-laplace-lambda.cc:28
rheolef.h
rheolef - reference manual
p
Definition sphere.icc:25