Rheolef  7.1
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"+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 }
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:104
T max_abs() const
Definition: field.h:731
see the integrate_option page for the full documentation
void set_family(family_type type)
idiststream din
see the diststream page for the full documentation
Definition: diststream.h:427
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
odiststream derr(cerr)
see the diststream page for the full documentation
Definition: diststream.h:436
see the space page for the full documentation
field_basic< T, M > eh
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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
std::string itos(std::string::size_type i)
itos: see the rheostream page for the full documentation
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)