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transport_dg_error.cc
Go to the documentation of this file.
#include "rheolef.h"
using namespace rheolef;
using namespace std;
struct phi {
Float operator() (const point& x) const { return exp(-sigma*x[0]); }
phi(Float sigma1) : sigma(sigma1) {}
Float sigma;
};
int main(int argc, char**argv) {
environment rheolef (argc, argv);
Float tol = (argc > 1) ? atof(argv[1]) : 1e-10;
bool dump = (argc > 2);
Float sigma;
field phi_h;
din >> catchmark("sigma") >> sigma
>> catchmark("phi") >> phi_h;
size_t k = phi_h.get_space().degree();
integrate_option iopt;
iopt.set_family(integrate_option::gauss);
iopt.set_order(2*k+1);
Float err_l2 = sqrt(integrate (phi_h.get_geo(), sqr(phi_h - phi(sigma)), iopt));
space Th1 (phi_h.get_geo(), "P"+to_string(k+1)+"d");
field eh = lazy_interpolate(Th1, phi_h - phi(sigma));
Float err_linf = eh.max_abs();
derr << "err_l2 = " << err_l2 << endl
<< "err_linf = " << err_linf << endl;
if (dump) {
dout << catchmark("phi_h") << phi_h
<< catchmark("phi") << lazy_interpolate(phi_h.get_space(), phi(sigma))
<< catchmark("e") << eh;
}
return (err_l2 < tol) ? 0 : 1;
}
phi
Float phi(const point &nu, Float a, Float b)
Definition burgers_flux_godunov.icc:25
Float
see the Float page for the full documentation
field
see the field page for the full documentation
point
see the point page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition catchmark.h:67
rheolef::environment
see the environment page for the full documentation
Definition environment.h:121
rheolef::integrate_option
see the integrate_option page for the full documentation
Definition integrate_option.h:125
rheolef::integrate_option::gauss
@ gauss
Definition integrate_option.h:132
rheolef::integrate_option::set_family
void set_family(family_type type)
Definition integrate_option.h:260
rheolef::integrate_option::set_order
void set_order(size_t r)
Definition integrate_option.h:254
space
see the space page for the full documentation
main
int main()
Definition field2bb.cc:58
dump
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
Definition iorheo-members.h:119
rheolef
This file is part of Rheolef.
Definition compiler_eigen.h:39
rheolef::exp
tensor_basic< T > exp(const tensor_basic< T > &a, size_t d)
Definition tensor-exp.cc:92
rheolef::lazy_interpolate
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
rheolef::integrate
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
std
STL namespace.
rheolef.h
rheolef - reference manual
phi
Definition phi.h:25
phi::sigma
Float sigma
Definition transport_dg_error.cc:27
phi::phi
phi(Float sigma1)
Definition transport_dg_error.cc:26
phi::operator()
Float operator()(const Float &x) const
Definition phi.h:27
sigma
Definition mosolov_exact_circle.h:40