Rheolef  7.2
an efficient C++ finite element environment
 
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cosinusprod_error_hdg_post_rt.cc

The sinus product function – error analysis for the hybrid discontinuous Galerkin method.

The sinus product function – error analysis for the hybrid discontinuous Galerkin method

#include "rheolef.h"
using namespace rheolef;
using namespace std;
int main(int argc, char**argv) {
environment rheolef(argc, argv);
Float err_linf_expected = (argc > 1) ? atof(argv[1]) : 1e+38;
field sigmat_h;
din >> catchmark("sigmat") >> sigmat_h;
space Tth = sigmat_h.get_space();
geo omega = Tth.get_geo();
size_t k = Tth.degree() - 1;
size_t d = omega.dimension();
iopt.set_family(integrate_option::gauss);
iopt.set_order(2*(k+1)+2);
Float err_sigmat_l2 = sqrt(integrate (omega, norm2(sigmat_h-grad_u(d)), iopt));
space Th1 (omega, "P"+to_string(k+1)+"d", "vector");
field esth = lazy_interpolate (Th1, sigmat_h-grad_u(d));
Float err_sigmat_linf = esth.max_abs();
derr << "err_sigmat_l2 = " << err_sigmat_l2 << endl
<< "err_sigmat_linf = " << err_sigmat_linf << endl;
Float err_div_sigmat_l2 = sqrt(integrate (omega, sqr(div_h(sigmat_h)+f(d)), iopt));
space Lh1 (omega, "P"+to_string(k+2)+"d");
field edsth = lazy_interpolate (Lh1, div_h(sigmat_h)+f(d));
Float err_div_sigmat_linf = edsth.max_abs();
derr << "err_div_sigmat_l2 = " << err_div_sigmat_l2 << endl
<< "err_div_sigmat_linf = " << err_div_sigmat_linf << endl;
return (err_sigmat_linf <= err_linf_expected) ? 0 : 1;
}
see the Float page for the full documentation
see the field page for the full documentation
see the geo 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
see the integrate_option page for the full documentation
void set_family(family_type type)
see the space page for the full documentation
The cosinus product function – right-hand-side and boundary condition for the Poisson problem.
The cosinus product function – its gradient.
int main()
Definition field2bb.cc:58
This file is part of Rheolef.
STL namespace.
rheolef - reference manual
Definition cavity_dg.h:29