Rheolef  7.2
an efficient C++ finite element environment
sinusprod_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;
#include "sinusprod_grad.h"
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
Definition: environment.h:121
see the integrate_option page for the full documentation
void set_family(family_type type)
see the space page for the full documentation
This file is part of Rheolef.
std::enable_if< details::has_field_rdof_interface< Expr >::value, details::field_expr_v2_nonlinear_terminal_field< typenameExpr::scalar_type, typenameExpr::memory_type, details::differentiate_option::divergence > >::type div_h(const Expr &expr)
div_h(uh): see the expression page for the full documentation
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
T norm2(const vec< T, M > &x)
norm2(x): see the expression page for the full documentation
Definition: vec.h:379
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 – right-hand-side and boundary condition for the Poisson problem.
int main(int argc, char **argv)
The sinus product function – its gradient.