Rheolef  7.2
an efficient C++ finite element environment
diffusion_tensor_error.cc
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1 #include "rheolef.h"
26 using namespace rheolef;
27 using namespace std;
29 int main(int argc, char**argv) {
30  environment rheolef (argc, argv);
31  Float tol = (argc > 1) ? atof(argv[1]) : 1e-10;
32  field sigma_h;
33  din >> catchmark("sigma") >> sigma_h;
34  const geo& omega = sigma_h.get_geo();
35  size_t k = sigma_h.get_space().degree();
36  integrate_option iopt;
38  iopt.set_order(3*(k+1));
39  Float err_l2 = sqrt(integrate (omega, norm2(sigma_h - sigma_exact()), iopt));
40  space Th1 (omega, "P"+itos(3*(k+1)), "tensor");
41  field eh = interpolate(Th1, sigma_h - sigma_exact());
42  Float err_linf = eh.max_abs();
43  derr << "err_l2 = " << err_l2 << endl
44  << "err_linf = " << err_linf << endl;
45  return (err_l2 < tol) ? 0 : 1;
46 }
see the Float 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)
idiststream din(cin)
see the diststream page for the full documentation
Definition: diststream.h:464
odiststream derr(cerr)
see the diststream page for the full documentation
Definition: diststream.h:473
see the space page for the full documentation
int main(int argc, char **argv)
The tensorial diffusion benchmark – right-hand-side and exact solution.
This file is part of Rheolef.
std::string itos(std::size_t i)
Definition: rheostream.h:279
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
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
T norm2(const vec< T, M > &x)
norm2(x): see the expression page for the full documentation
Definition: vec.h:379
rheolef - reference manual