Rheolef  7.2
an efficient C++ finite element environment
 
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diffusion_tensor_error.cc
Go to the documentation of this file.
1
25#include "rheolef.h"
26using namespace rheolef;
27using namespace std;
29int 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();
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
see the integrate_option page for the full documentation
void set_family(family_type type)
see the space page for the full documentation
The tensorial diffusion benchmark – right-hand-side and exact solution.
int main()
Definition field2bb.cc:58
This file is part of Rheolef.
std::string itos(std::size_t i)
Definition rheostream.h:279
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::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
STL namespace.
rheolef - reference manual