Rheolef  7.2
an efficient C++ finite element environment
sinusprod_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 "sinusprod.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
Definition: environment.h:121
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
This file is part of Rheolef.
field_basic< T, M > lazy_interpolate(const space_basic< T, M > &X2h, const field_basic< T, M > &u1h)
see the interpolate page for the full documentation
Definition: field.h:871
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:211
STL namespace.
rheolef - reference manual
The sinus product function.
int main(int argc, char **argv)
g u_exact
Definition: taylor_exact.h:26