Rheolef  7.2
an efficient C++ finite element environment
transport_dg_error.cc
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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"+to_string(k+1)+"d");
43  field eh = lazy_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") << lazy_interpolate(phi_h.get_space(), phi(sigma))
50  << catchmark("e") << eh;
51  }
52  return (err_l2 < tol) ? 0 : 1;
53 }
Float phi(const point &nu, Float a, Float b)
see the Float page for the full documentation
see the field page for the full documentation
see the point 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)
idiststream din(cin)
see the diststream page for the full documentation
Definition: diststream.h:464
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:467
odiststream derr(cerr)
see the diststream page for the full documentation
Definition: diststream.h:473
see the space page for the full documentation
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 operator()(const t &a, const t &b)
Definition: space.cc:386
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
tensor_basic< T > exp(const tensor_basic< T > &a, size_t d)
Definition: tensor-exp.cc:92
rheolef - reference manual
Definition: phi.h:25
Float sigma
phi(Float sigma1)
int main(int argc, char **argv)