Rheolef  7.2
an efficient C++ finite element environment
sinusprod_error_dg.cc
Go to the documentation of this file.
1
25#include "rheolef.h"
26using namespace rheolef;
27using namespace std;
28#include "sinusprod.h"
29int main(int argc, char**argv) {
30 environment rheolef(argc, argv);
31 Float err_linf_expected = (argc > 1) ? atof(argv[1]) : 1e+38;
32 bool dump = (argc > 2);
33 field uh; din >> uh;
34 space Xh = uh.get_space();
35 geo omega = Xh.get_geo();
36 size_t k = Xh.degree();
37 size_t d = omega.dimension();
39 iopt.set_family(integrate_option::gauss);
40 iopt.set_order(2*k+1);
41 Float err_l2 = sqrt(integrate (omega, sqr(uh-u_exact(d)), iopt));
42 basis b1 = Xh.get_basis();
43 b1.reset_family_index (k+1);
44 space Xh1 (omega, b1);
46 Float err_linf = eh.max_abs();
47 Float err_h1 = sqrt(integrate (omega, norm2(grad_h(eh)), iopt)
48 + integrate (omega.sides(), (1/h_local())*sqr(jump(eh)), iopt));
49 derr << "err_l2 = " << err_l2 << endl
50 << "err_linf = " << err_linf << endl
51 << "err_h1 = " << err_h1 << endl;
52 if (dump) {
53 dout << catchmark("uh") << uh
54 << catchmark("u") << lazy_interpolate (Xh, u_exact(d));
55 }
56 return (err_linf <= err_linf_expected) ? 0 : 1;
57}
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
Definition: environment.h:121
see the integrate_option page for the full documentation
void set_family(family_type type)
see the space page for the full documentation
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.
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
T norm2(const vec< T, M > &x)
norm2(x): see the expression page for the full documentation
Definition: vec.h:379
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
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
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
STL namespace.
rheolef - reference manual
The sinus product function.
int main(int argc, char **argv)
g u_exact
Definition: taylor_exact.h:26