Rheolef  7.1
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();
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;
}
sinusprod.h
The sinus product function.
rheolef::integrate_option::set_order
void set_order(size_t r)
Definition: integrate_option.h:254
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
mkgeo_ball.d
int d
Definition: mkgeo_ball.sh:154
space
see the space page for the full documentation
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
sinusprod_grad.h
The sinus product function – its gradient.
rheolef::on_local_sides
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
Definition: field_expr_quadrature.h:321
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
rheolef::integrate_option::invert
bool invert
Definition: integrate_option.h:168
main
int main(int argc, char **argv)
Definition: sinusprod_error_hho_reconstruction.cc:30
u_exact
g u_exact
Definition: taylor_exact.h:26
rheolef::derr
odiststream derr(cerr)
see the diststream page for the full documentation
Definition: diststream.h:436
Float
see the Float page for the full documentation
grad_u
tensor grad_u
Definition: transport_tensor_exact.icc:26
rheolef::grad_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::gradient >>::type grad_h(const Expr &expr)
grad_h(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:949
rheolef::std
Definition: vec_expr_v2.h:402
geo
see the geo page for the full documentation