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cosinusprod_error.cc
Go to the documentation of this file.
#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "cosinusprod.h"
int main(int argc, char**argv) {
environment rheolef(argc, argv);
Float err_u_linf_expected = (argc > 1) ? atof(argv[1]) : 1e+38;
field uh; din >> uh;
geo omega = uh.get_geo();
space Xh = uh.get_space();
size_t k = Xh.degree();
size_t d = Xh.get_geo().dimension();
integrate_option iopt;
iopt.set_order(min(3*(k+1)+4,size_t(17)));
Float err_u_l2 = sqrt(integrate (omega, sqr(uh-u_exact(d)), iopt));
string opts = Xh.get_basis().option().stamp();
space Xh1 (omega, "P"+to_string(k+1)+"d"+opts);
field euh = lazy_interpolate (Xh1, uh-u_exact(d));
Float err_u_linf = euh.max_abs();
Float err_u_h1 = sqrt(integrate (omega, norm2(grad_h(euh)), iopt));
dout << "err_u_l2 " << err_u_l2 << endl
<< "err_u_linf " << err_u_linf << endl
<< "err_u_h1 " << err_u_h1 << endl;
return (err_u_linf <= err_u_linf_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::set_order
void set_order(size_t r)
Definition integrate_option.h:254
space
see the space page for the full documentation
cosinusprod.h
The cosinus product function.
main
int main()
Definition field2bb.cc:58
Xh1
space_basic< T, M > Xh1
Definition field_expr.h:232
rheolef
This file is part of Rheolef.
Definition compiler_eigen.h:39
rheolef::lazy_interpolate
field_basic< T, M > lazy_interpolate(const space_basic< T, M > &X2h, const field_basic< T, M > &u1h)
see the interpolate page for the full documentation
Definition field.h:871
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
std
STL namespace.
d
size_t d
Definition neumann-laplace-lambda.cc:28
rheolef.h
rheolef - reference manual
u_exact
Definition interpolate_RTk_polynom.icc:125