Rheolef  7.2
an efficient C++ finite element environment
 
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cosinusprod_error_hdg_average.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;
#include "cosinusprod.h"
int main(int argc, char**argv) {
environment rheolef(argc, argv);
Float err_linf_expected = (argc > 1) ? atof(argv[1]) : 1e+38;
field uh, bar_uh;
din >> catchmark("u") >> uh
>> catchmark("bar_u") >> bar_uh;
space Xh = uh.get_space();
space Zh = bar_uh.get_space();
geo omega = Zh.get_geo();
size_t d = omega.dimension();
size_t k = Xh.degree();
trial zeta(Zh); test xi(Zh);
iopt.invert = true;
form inv_mz = integrate (zeta*xi, iopt);
iopt.set_order(2*(k+2)+3);
field lh = integrate (u_exact(d)*xi, iopt);
field bar_pi_h_u = inv_mz*lh;
field eh = lazy_interpolate (Zh, bar_uh-bar_pi_h_u);
Float err_linf = eh.max_abs();
iopt.set_order(2);
Float err_l2 = sqrt(integrate (omega, sqr(bar_uh-bar_pi_h_u), iopt));
derr << "err_l2 = " << err_l2 << endl
<< "err_linf = " << err_linf << endl;
return (err_linf <= err_linf_expected) ? 0 : 1;
}
field lh(Float epsilon, Float t, const test &v)
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 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
see the space page for the full documentation
see the test page for the full documentation
see the test page for the full documentation
The cosinus product function.
int main()
Definition field2bb.cc:58
This file is part of Rheolef.
STL namespace.
rheolef - reference manual