The sinus product function – error analysis for the hybrid discontinuous Galerkin method
using namespace std;
int main(
int argc,
char**argv) {
Float err_linf_expected = (argc > 1) ? atof(argv[1]) : 1e+38;
bool with_sigma = (argc <= 2) || argv[2] != string("-no-sigma");
field uh, lambda_h, sigma_h;
din >> catchmark(
"u") >> uh
>> catchmark("lambda") >> lambda_h;
if (with_sigma) {
din >> catchmark(
"sigma") >> sigma_h;
}
space Xh = uh.get_space();
geo omega = Xh.get_geo();
size_t k = Xh.degree();
size_t d = omega.dimension();
integrate_option iopt;
iopt.set_order(3*(k+1)+4);
string opts = Xh.get_basis().option().stamp();
Float err_u_linf = euh.max_abs();
derr <<
"err_u_l2 = " << err_u_l2 << endl
<< "err_u_linf = " << err_u_linf << endl
<< "err_u_h1 = " << err_u_h1 << endl;
if (with_sigma) {
space Th1 (omega,
"P"+
itos(k+1)+
"d"+opts,
"vector");
Float err_sigma_linf = esh.max_abs();
derr <<
"err_sigma_l2 = " << err_sigma_l2 << endl
<< "err_sigma_linf = " << err_sigma_linf << endl;
}
if (!lambda_h.get_space().get_basis().option().is_restricted_to_sides()) {
space Mh = lambda_h.get_space();
pms.solve (kh, ph_lambda);
derr <<
"err_lambda_l2 = " << err_lambda_l2 << endl;
}
return (err_u_linf <= err_linf_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
see the problem page for the full documentation
idiststream din
see the diststream page for the full documentation
odiststream derr(cerr)
see the diststream page for the full documentation
see the space page for the full documentation
see the test page for the full documentation
see the test page for the full documentation
The cosinus product function.
int main(int argc, char **argv)
The cosinus product function – its gradient.
This file is part of Rheolef.
details::field_expr_v2_nonlinear_terminal_function< details::h_local_pseudo_function< Float > > h_local()
h_local: see the expression page for the full documentation
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
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
field_basic< T, M > interpolate(const space_basic< T, M > &V2h, const field_basic< T, M > &u1h)
see the interpolate page for the full documentation
T norm2(const vec< T, M > &x)
norm2(x): see the expression page for the full documentation
std::string itos(std::string::size_type i)
itos: see the rheostream page for the full documentation
rheolef - reference manual