sinusprod_error_hdg.cc
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#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_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_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"+itos(k+1)+"d"+opts);
field euh = 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"+itos(k+1)+"d"+opts, "vector");
field esh = 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_restricted_to_sides()) {
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;
}
Xh1
space_basic< T, M > Xh1
Definition: field_expr.h:220
sinusprod.h
The sinus product function.
form
see the form page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
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
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:527
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::integrate_option::gauss
@ gauss
Definition: integrate_option.h:132
main
int main(int argc, char **argv)
Definition: sinusprod_error_hdg.cc:30
rheolef::interpolate
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
Definition: interpolate.cc:233
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
test
see the test page for the full documentation
problem
see the problem page for the full documentation
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
mkgeo_ball.d
d
Definition: mkgeo_ball.sh:154
grad_u
tensor grad_u
Definition: transport_tensor_exact.icc:26
rheolef::integrate_option::set_family
void set_family(family_type type)
Definition: integrate_option.h:260
mkgeo_contraction.mu
mu
Definition: mkgeo_contraction.sh:193
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
trial
see the test page for the full documentation
rheolef::itos
std::string itos(std::string::size_type i)
itos: see the rheostream page for the full documentation
rheolef::std
Definition: vec_expr_v2.h:391
geo
see the geo page for the full documentation
lambda
Definition: yield_slip_circle.h:34