cosinusprod_error_hdg_average.cc
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#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "cosinusprod.h"
int main(int argc, char**argv) {
environment rheolef(argc, argv);
Float err_linf_expected = (argc > 1) ? atof(argv[1]) : 1e+38;
field uh, bar_uh;
din >> catchmark("u") >> uh
>> catchmark("bar_u") >> bar_uh;
space Xh = uh.get_space();
space Zh = bar_uh.get_space();
geo omega = Zh.get_geo();
size_t d = omega.dimension();
size_t k = Xh.degree();
trial zeta(Zh); test xi(Zh);
integrate_option iopt;
iopt.invert = true;
form inv_mz = integrate (zeta*xi, iopt);
iopt.set_order(2*(k+2)+3);
field lh = integrate (u_exact(d)*xi, iopt);
field bar_pi_h_u = inv_mz*lh;
field eh = interpolate (Zh, bar_uh-bar_pi_h_u);
Float err_linf = eh.max_abs();
iopt.set_order(2);
Float err_l2 = sqrt(integrate (omega, sqr(bar_uh-bar_pi_h_u), iopt));
derr << "err_l2 = " << err_l2 << endl
<< "err_linf = " << err_linf << endl;
return (err_linf <= err_linf_expected) ? 0 : 1;
}
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
space
see the space page for the full documentation
cosinusprod.h
The cosinus product function.
rheolef.h
rheolef - reference manual
rheolef::integrate_option
see the integrate_option page for the full documentation
Definition: integrate_option.h:125
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
eh
field_basic< T, M > eh
Definition: form_field_expr.h:58
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
lh
field lh(Float epsilon, Float t, const test &v)
Definition: burgers_diffusion_operators.icc:25
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
rheolef::integrate_option::invert
bool invert
Definition: integrate_option.h:168
test
see the test 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
main
int main(int argc, char **argv)
Definition: cosinusprod_error_hdg_average.cc:29
trial
see the test page for the full documentation
rheolef::std
Definition: vec_expr_v2.h:391
geo
see the geo page for the full documentation