commute_rtd_error.cc

Discontinuous Raviart-Thomas L2 projection – error analysis

#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "cosinus_vector.h"
int main(int argc, char**argv) {
environment rheolef (argc, argv);
Float err_p_l2_valid = (argc > 1) ? atof(argv[1]) : 1;
Float err_p_div_l2_valid = (argc > 2) ? atof(argv[2]) : 1;
field p_Vh_u, pi_h_u;
din >> p_Vh_u >> pi_h_u;
const geo& omega = p_Vh_u.get_geo();
const space& Vh = p_Vh_u.get_space();
size_t d = omega.dimension();
size_t k = Vh.get_basis().family_index();
integrate_option iopt;
iopt.set_order (2*k+2);
Float err_p_l2 = sqrt(integrate(omega,norm2(p_Vh_u-u_exact(d)),iopt)),
err_i_l2 = sqrt(integrate(omega,norm2(pi_h_u-u_exact(d)),iopt)),
err_p_div_l2 = sqrt(integrate(omega,norm2(div_h(p_Vh_u)-div_u_exact(d)),iopt)),
err_i_div_l2 = sqrt(integrate(omega,norm2(div_h(pi_h_u)-div_u_exact(d)),iopt));
dout << "err_p_l2 = " << err_p_l2 << endl
<< "err_i_l2 = " << err_i_l2 << endl
<< "err_p_div_l2 = " << err_p_div_l2 << endl
<< "err_i_div_l2 = " << err_i_div_l2 << endl;
return (err_p_l2 <= err_p_l2_valid && err_p_div_l2 <= err_p_div_l2_valid) ? 0: 1;
}
cosinus_vector.h
The cosinus vector function.
rheolef::integrate_option::set_order
void set_order(size_t r)
Definition: integrate_option.h:254
main
int main(int argc, char **argv)
Definition: commute_rtd_error.cc:29
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
div_u_exact
Definition: cosinus_vector.h:31
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::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
u_exact
g u_exact
Definition: taylor_exact.h:26
Float
see the Float page for the full documentation
mkgeo_ball.d
d
Definition: mkgeo_ball.sh:154
rheolef::dout
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
rheolef::std
Definition: vec_expr_v2.h:391
geo
see the geo page for the full documentation