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

The sinus product function – reconstruction for the hybrid high order method

#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "sinusprod.h"
#include "sinusprod_grad.h"
int main(int argc, char**argv) {
environment rheolef (argc, argv);
Float err_us_s_h1_expected = (argc > 1) ? atof(argv[1]) : 1e+38;
field uhs;
din >> uhs;
geo omega = uhs.get_geo();
space Xhs = uhs.get_space();
size_t d = omega.dimension(), kp1 = Xhs.degree();
integrate_option iopt;
iopt.invert = true;
iopt.set_order (2*kp1+2);
Float err_us_l2 = sqrt(integrate(omega, sqr(uhs-u_exact(d)), iopt)),
err_us_h1 = sqrt(integrate(omega, norm2(grad_h(uhs)-grad_u(d)), iopt));
derr << "err_us_l2 = " << err_us_l2 << endl
<< "err_us_h1 = " << err_us_h1 << endl;
#ifdef TODO
// on_local_sides in non-variational exprs:
Float err_us_s_l2 = sqrt(integrate(omega, on_local_sides(sqr(uhs-u_exact(d))), iopt)),
err_us_s_h1 = sqrt(integrate(omega, on_local_sides(norm2(grad_h(uhs)-grad_u(d))), iopt));
derr << "err_us_s_l2 = " << err_us_s_l2 << endl
<< "err_us_s_h1 = " << err_us_s_h1 << endl;
#endif // TODO
return (err_us_h1 < err_us_s_h1_expected) ? 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
idiststream din(cin)
see the diststream page for the full documentation
Definition: diststream.h:464
odiststream derr(cerr)
see the diststream page for the full documentation
Definition: diststream.h:473
see the space page for the full documentation
This file is part of Rheolef.
std::enable_if< details::is_field_expr_v2_variational_arg< Expr >::value,details::field_expr_quadrature_on_sides< Expr > >::type on_local_sides(const Expr &expr)
on_local_sides(expr): 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:211
std::enable_if< details::has_field_rdof_interface< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type grad_h(const Expr &expr)
grad_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
rheolef - reference manual
The sinus product function.
int main(int argc, char **argv)
The sinus product function – its gradient.
g u_exact
Definition: taylor_exact.h:26