Rheolef  7.1
an efficient C++ finite element environment
sinusprod_error_hdg_average.cc
Go to the documentation of this file.
1 #include "rheolef.h"
26 using namespace rheolef;
27 using namespace std;
28 #include "sinusprod.h"
29 int main(int argc, char**argv) {
30  environment rheolef(argc, argv);
31  Float err_linf_expected = (argc > 1) ? atof(argv[1]) : 1e+38;
32  field uh, bar_uh;
33  din >> catchmark("u") >> uh
34  >> catchmark("bar_u") >> bar_uh;
35  space Xh = uh.get_space();
36  space Zh = bar_uh.get_space();
37  geo omega = Zh.get_geo();
38  size_t d = omega.dimension();
39  size_t k = Xh.degree();
40  trial zeta(Zh); test xi(Zh);
41  integrate_option iopt;
42  iopt.invert = true;
43  form inv_mz = integrate (zeta*xi, iopt);
44  iopt.set_order(2*(k+2)+3);
45  field lh = integrate (u_exact(d)*xi, iopt);
46  field bar_pi_h_u = inv_mz*lh;
47  field eh = interpolate (Zh, bar_uh-bar_pi_h_u);
48  Float err_linf = eh.max_abs();
49  iopt.set_order(2);
50  Float err_l2 = sqrt(integrate (omega, sqr(bar_uh-bar_pi_h_u), iopt));
51  derr << "err_l2 = " << err_l2 << endl
52  << "err_linf = " << err_linf << endl;
53  return (err_linf <= err_linf_expected) ? 0 : 1;
54 }
field lh(Float epsilon, Float t, const test &v)
see the Float page for the full documentation
see the field page for the full documentation
see the form page for the full documentation
see the geo page for the full documentation
see the catchmark page for the full documentation
Definition: catchmark.h:67
see the environment page for the full documentation
Definition: environment.h:104
T max_abs() const
Definition: field.h:731
see the integrate_option page for the full documentation
idiststream din
see the diststream page for the full documentation
Definition: diststream.h:427
odiststream derr(cerr)
see the diststream page for the full documentation
Definition: diststream.h:436
see the space page for the full documentation
see the test page for the full documentation
see the test page for the full documentation
field_basic< T, M > eh
This file is part of Rheolef.
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
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 - reference manual
The sinus product function.
int main(int argc, char **argv)
g u_exact
Definition: taylor_exact.h:26