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dirichlet_hdg_post.cc

The Poisson problem by the hybrid discontinuous Galerkin method – post-treatment.

The Poisson problem by the hybrid discontinuous Galerkin method – post-treatment

#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "sinusprod_dirichlet.h"
#include "dirichlet_hdg_average.icc"
int main(int argc, char**argv) {
environment rheolef (argc, argv);
Float n, beta;
field uh, lambda_h, sigma_h;
din >> catchmark("n") >> n
>> catchmark("beta") >> beta
>> catchmark("u") >> uh
>> catchmark("lambda") >> lambda_h
>> catchmark("sigma") >> sigma_h;
field bar_uh = dirichlet_hdg_average (uh, lambda_h);
const geo& omega = uh.get_geo();
size_t d = omega.dimension();
size_t k = uh.get_space().degree();
space Xhs (omega, "P"+to_string(k+1)+"d"),
Zhs (omega, "P0"),
Yhs = Xhs*Zhs;
trial x(Yhs); test y(Yhs);
auto us = x[0], zeta = x[1];
auto vs = y[0], xi = y[1];
integrate_option iopt;
iopt.invert = true;
form inv_ahs = integrate(dot(grad_h(us),grad_h(vs)) + zeta*vs + xi*us, iopt);
field lhs = integrate (f(d)*vs + xi*bar_uh
+ on_local_sides(dot(sigma_h,normal())*vs));
field xhs = inv_ahs*lhs;
dout << catchmark("n") << n << endl
<< catchmark("beta") << beta << endl
<< catchmark("u") << xhs[0]
<< catchmark("lambda") << lambda_h
<< catchmark("sigma") << sigma_h
<< catchmark("zeta") << xhs[1];
}
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
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
rheolef::integrate_option
see the integrate_option page for the full documentation
Definition integrate_option.h:125
rheolef::integrate_option::invert
bool invert
Definition integrate_option.h:168
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
dirichlet_hdg_average.icc
The Poisson problem by the hybrid discontinuous Galerkin method – local averaging function.
dirichlet_hdg_average
field dirichlet_hdg_average(field uh, field lambda_h)
Definition dirichlet_hdg_average.icc:25
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
sinusprod_dirichlet.h
The sinus product function – right-hand-side and boundary condition for the Poisson problem.
f
Definition cavity_dg.h:29