Rheolef  7.2
an efficient C++ finite element environment
commute_rtd_error.cc

Discontinuous Raviart-Thomas L2 projection – error analysis.

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();
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;
}
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 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
int main(int argc, char **argv)
The cosinus vector function.
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
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
g u_exact
Definition: taylor_exact.h:26