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sinusprod_error_hho_reconstruction.cc
Go to the documentation of this file.
#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;
}
Float
see the Float page for the full documentation
field
see the field page for the full documentation
geo
see the geo page for the full documentation
rheolef::environment
see the environment page for the full documentation
Definition environment.h:121
rheolef::integrate_option
see the integrate_option page for the full documentation
Definition integrate_option.h:125
rheolef::integrate_option::invert
bool invert
Definition integrate_option.h:168
rheolef::integrate_option::set_order
void set_order(size_t r)
Definition integrate_option.h:254
space
see the space page for the full documentation
grad_u
tensor grad_u
Definition diffusion_transport_tensor_exact.icc:26
main
int main()
Definition field2bb.cc:58
rheolef
This file is part of Rheolef.
Definition compiler_eigen.h:39
rheolef::norm2
T norm2(const vec< T, M > &x)
norm2(x): see the expression page for the full documentation
Definition vec.h:379
rheolef::grad_h
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::gradient > >::type grad_h(const Expr &expr)
grad_h(uh): see the expression page for the full documentation
Definition field_expr_terminal.h:968
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:211
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:323
std
STL namespace.
d
size_t d
Definition neumann-laplace-lambda.cc:28
rheolef.h
rheolef - reference manual
sinusprod.h
The sinus product function.
sinusprod_grad.h
The sinus product function – its gradient.
u_exact
g u_exact
Definition taylor_exact.h:26