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cosinusprod_error_hdg.cc
Go to the documentation of this file.
#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "cosinusprod.h"
#include "cosinusprod_grad.h"
int main(int argc, char**argv) {
environment rheolef(argc, argv);
Float err_linf_expected = (argc > 1) ? atof(argv[1]) : 1e+38;
bool with_u = (argc <= 2) || argv[2] != string("-us");
bool with_sigma = ((argc <= 2) || argv[2] != string("-no-sigma")) && with_u;
field uh, lambda_h, sigma_h;
if (with_u) {
din >> catchmark("u") >> uh; // hdg or hho
} else {
din >> catchmark("us") >> uh; // hho
}
din >> 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_family(integrate_option::gauss);
iopt.set_order(3*(k+1)+4);
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)
+ integrate (omega.sides(), (1/h_local())*sqr(jump(euh)), iopt));
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) {
Float err_sigma_l2 = sqrt(integrate (omega, norm2(sigma_h-grad_u(d)), iopt));
space Th1 (omega, "P"+to_string(k+1)+"d"+opts, "vector");
field esh = lazy_interpolate (Th1, sigma_h-grad_u(d));
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_trace_n()) {
space Mh = lambda_h.get_space();
trial lambda(Mh); test mu(Mh);
form ms = integrate(lambda*mu);
field kh = integrate(u_exact(d)*mu, iopt);
field ph_lambda(Mh);
problem pms (ms);
pms.solve (kh, ph_lambda);
Float err_lambda_l2 = sqrt(integrate (omega["sides"], h_local()*sqr(lambda_h-ph_lambda), iopt));
derr << "err_lambda_l2 = " << err_lambda_l2 << endl;
}
return (err_u_linf <= err_linf_expected) ? 0 : 1;
}
Float
see the Float page for the full documentation
field
see the field page for the full documentation
form
see the form page for the full documentation
geo
see the geo page for the full documentation
problem
see the problem page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition catchmark.h:67
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::gauss
@ gauss
Definition integrate_option.h:132
rheolef::integrate_option::set_family
void set_family(family_type type)
Definition integrate_option.h:260
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
test
see the test page for the full documentation
trial
see the test page for the full documentation
cosinusprod.h
The cosinus product function.
cosinusprod_grad.h
The cosinus product function – its gradient.
grad_u
tensor grad_u
Definition diffusion_transport_tensor_exact.icc:26
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
rheolef::h_local
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
Definition field_expr_terminal.h:520
std
STL namespace.
d
size_t d
Definition neumann-laplace-lambda.cc:28
rheolef.h
rheolef - reference manual
lambda
Definition yield_slip_circle.h:34
u_exact
g u_exact
Definition taylor_exact.h:26