Rheolef  7.2
an efficient C++ finite element environment
 
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sinusprod_error_dg.cc

The cosinus product function – error analysis for the discontinuous Galerkin method.

The cosinus product function – error analysis for the discontinuous Galerkin method

#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "sinusprod.h"
int main(int argc, char**argv) {
environment rheolef(argc, argv);
Float err_linf_expected = (argc > 1) ? atof(argv[1]) : 1e+38;
bool dump = (argc > 2);
field uh; din >> uh;
space Xh = uh.get_space();
geo omega = Xh.get_geo();
size_t k = Xh.degree();
size_t d = omega.dimension();
iopt.set_family(integrate_option::gauss);
iopt.set_order(2*k+1);
Float err_l2 = sqrt(integrate (omega, sqr(uh-u_exact(d)), iopt));
basis b1 = Xh.get_basis();
b1.reset_family_index (k+1);
space Xh1 (omega, b1);
field eh = lazy_interpolate (Xh1, uh-u_exact(d));
Float err_linf = eh.max_abs();
Float err_h1 = sqrt(integrate (omega, norm2(grad_h(eh)), iopt)
+ integrate (omega.sides(), (1/h_local())*sqr(jump(eh)), iopt));
derr << "err_l2 = " << err_l2 << endl
<< "err_linf = " << err_linf << endl
<< "err_h1 = " << err_h1 << endl;
if (dump) {
dout << catchmark("uh") << uh
<< catchmark("u") << lazy_interpolate (Xh, u_exact(d));
}
return (err_linf <= err_linf_expected) ? 0 : 1;
}
see the Float page for the full documentation
see the basis page for the full documentation
see the field 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
see the integrate_option page for the full documentation
void set_family(family_type type)
see the space page for the full documentation
int main()
Definition field2bb.cc:58
space_basic< T, M > Xh1
Definition field_expr.h:232
verbose clean transpose logscale grid shrink ball stereo iso volume skipvtk deformation fastfieldload lattice reader_on_stdin color format format format format format format format format format format format format format format format format format format dump
This file is part of Rheolef.
STL namespace.
rheolef - reference manual
The sinus product function.