Rheolef  7.2
an efficient C++ finite element environment
 
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transport_dg_error.cc
Go to the documentation of this file.
1
21#include "rheolef.h"
22using namespace rheolef;
23using namespace std;
24struct phi {
25 Float operator() (const point& x) const { return exp(-sigma*x[0]); }
26 phi(Float sigma1) : sigma(sigma1) {}
28};
29int 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);
34 field phi_h;
35 din >> catchmark("sigma") >> sigma
36 >> catchmark("phi") >> phi_h;
37 size_t k = phi_h.get_space().degree();
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}
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
see the integrate_option page for the full documentation
void set_family(family_type type)
see the space page for the full documentation
int main()
Definition field2bb.cc:58
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.
tensor_basic< T > exp(const tensor_basic< T > &a, size_t d)
Definition tensor-exp.cc:92
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
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
STL namespace.
rheolef - reference manual
Definition phi.h:25
phi(Float sigma1)
Float operator()(const Float &x) const
Definition phi.h:27