Rheolef  7.1
an efficient C++ finite element environment
transport_dg_error.cc
Go to the documentation of this file.
1 #include "rheolef.h"
22 using namespace rheolef;
23 using namespace std;
24 struct phi {
25  Float operator() (const point& x) const { return exp(-sigma*x[0]); }
26  phi(Float sigma1) : sigma(sigma1) {}
28 };
29 int main(int argc, char**argv) {
30  environment rheolef (argc, argv);
31  Float tol = (argc > 1) ? atof(argv[1]) : 1e-10;
32  bool dump = (argc > 2);
33  Float sigma;
34  field phi_h;
35  din >> catchmark("sigma") >> sigma
36  >> catchmark("phi") >> phi_h;
37  size_t k = phi_h.get_space().degree();
38  integrate_option iopt;
40  iopt.set_order(2*k+1);
41  Float err_l2 = sqrt(integrate (phi_h.get_geo(), sqr(phi_h - phi(sigma)), iopt));
42  space Th1 (phi_h.get_geo(), "P"+itos(k+1)+"d");
43  field eh = interpolate(Th1, phi_h - phi(sigma));
44  Float err_linf = eh.max_abs();
45  derr << "err_l2 = " << err_l2 << endl
46  << "err_linf = " << err_linf << endl;
47  if (dump) {
48  dout << catchmark("phi_h") << phi_h
49  << catchmark("phi") << interpolate(phi_h.get_space(), phi(sigma))
50  << catchmark("e") << eh;
51  }
52  return (err_l2 < tol) ? 0 : 1;
53 }
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
phi
Definition: phi.h:25
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
dump
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
Definition: iorheo-members.h:119
phi::phi
phi(Float sigma1)
Definition: transport_dg_error.cc:26
phi
Float phi(const point &nu, Float a, Float b)
Definition: burgers_flux_godunov.icc:25
space
see the space page for the full documentation
rheolef.h
rheolef - reference manual
rheolef::integrate_option
see the integrate_option page for the full documentation
Definition: integrate_option.h:125
rheolef::integrate_option::gauss
@ gauss
Definition: integrate_option.h:132
main
int main(int argc, char **argv)
Definition: transport_dg_error.cc:29
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::exp
tensor_basic< T > exp(const tensor_basic< T > &a, size_t d)
Definition: tensor-exp.cc:92
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
sigma
Definition: mosolov_exact_circle.h:40
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
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
point
see the point page for the full documentation
rheolef::integrate_option::set_family
void set_family(family_type type)
Definition: integrate_option.h:260
phi::sigma
Float sigma
Definition: transport_dg_error.cc:27
rheolef::dout
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
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