cosinusprod_error_hdg_post_rt.cc

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

#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "cosinusprod_dirichlet.h"
#include "cosinusprod_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();
integrate_option iopt;
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"+itos(k+1)+"d", "vector");
field esth = 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"+itos(k+2)+"d");
field edsth = 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;
}
main
int main(int argc, char **argv)
Definition: cosinusprod_error_hdg_post_rt.cc:30
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
rheolef::integrate_option::set_order
void set_order(size_t r)
Definition: integrate_option.h:254
field
see the field page for the full documentation
rheolef::integrate
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:202
mkgeo_ball.f
f
Definition: mkgeo_ball.sh:221
space
see the space page for the full documentation
rheolef::div_h
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::divergence >>::type div_h(const Expr &expr)
div_h(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:1069
rheolef.h
rheolef - reference manual
rheolef::norm2
T norm2(const vec< T, M > &x)
norm2(x): see the expression page for the full documentation
Definition: vec.h:379
rheolef::integrate_option
see the integrate_option page for the full documentation
Definition: integrate_option.h:125
rheolef::integrate_option::gauss
@ gauss
Definition: integrate_option.h:132
rheolef::interpolate
field_basic< T, M > interpolate(const space_basic< T, M > &V2h, const field_basic< T, M > &u1h)
see the interpolate page for the full documentation
Definition: interpolate.cc:233
rheolef::din
idiststream din
see the diststream page for the full documentation
Definition: diststream.h:427
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
rheolef::derr
odiststream derr(cerr)
see the diststream page for the full documentation
Definition: diststream.h:436
Float
see the Float page for the full documentation
mkgeo_ball.d
d
Definition: mkgeo_ball.sh:154
grad_u
tensor grad_u
Definition: transport_tensor_exact.icc:26
cosinusprod_grad.h
The cosinus product function – its gradient.
rheolef::integrate_option::set_family
void set_family(family_type type)
Definition: integrate_option.h:260
cosinusprod_dirichlet.h
The cosinus product function – right-hand-side and boundary condition for the Poisson problem.
rheolef::itos
std::string itos(std::string::size_type i)
itos: see the rheostream page for the full documentation
rheolef::std
Definition: vec_expr_v2.h:391
geo
see the geo page for the full documentation