Rheolef  7.2
an efficient C++ finite element environment
 
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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
see the integrate_option page for the full documentation
see the space page for the full documentation
The cosinus vector function.
int main()
Definition field2bb.cc:58
This file is part of Rheolef.
STL namespace.
rheolef - reference manual