Rheolef  7.1
an efficient C++ finite element environment
commute_rtd_error.cc
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1 #include "rheolef.h"
26 using namespace rheolef;
27 using namespace std;
28 #include "cosinus_vector.h"
29 int main(int argc, char**argv) {
30  environment rheolef (argc, argv);
31  Float err_p_l2_valid = (argc > 1) ? atof(argv[1]) : 1;
32  Float err_p_div_l2_valid = (argc > 2) ? atof(argv[2]) : 1;
33  field p_Vh_u, pi_h_u;
34  din >> p_Vh_u >> pi_h_u;
35  const geo& omega = p_Vh_u.get_geo();
36  const space& Vh = p_Vh_u.get_space();
37  size_t d = omega.dimension();
38  size_t k = Vh.get_basis().family_index();
39  integrate_option iopt;
40  iopt.set_order (2*k+2);
41  Float err_p_l2 = sqrt(integrate(omega,norm2(p_Vh_u-u_exact(d)),iopt)),
42  err_i_l2 = sqrt(integrate(omega,norm2(pi_h_u-u_exact(d)),iopt)),
43  err_p_div_l2 = sqrt(integrate(omega,norm2(div_h(p_Vh_u)-div_u_exact(d)),iopt)),
44  err_i_div_l2 = sqrt(integrate(omega,norm2(div_h(pi_h_u)-div_u_exact(d)),iopt));
45  dout << "err_p_l2 = " << err_p_l2 << endl
46  << "err_i_l2 = " << err_i_l2 << endl
47  << "err_p_div_l2 = " << err_p_div_l2 << endl
48  << "err_i_div_l2 = " << err_i_div_l2 << endl;
49  return (err_p_l2 <= err_p_l2_valid && err_p_div_l2 <= err_p_div_l2_valid) ? 0: 1;
50 }
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:115
see the integrate_option page for the full documentation
idiststream din
see the diststream page for the full documentation
Definition: diststream.h:427
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
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::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
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
T norm2(const vec< T, M > &x)
norm2(x): see the expression page for the full documentation
Definition: vec.h:379
rheolef - reference manual
g u_exact
Definition: taylor_exact.h:26