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diffusion_transport_tensor_error_dg.cc

The tensor transport-diffusion benchmark – error computation.

The tensor transport-diffusion benchmark – error computation

#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "transport_tensor_exact.icc"
int main(int argc, char**argv) {
environment rheolef (argc, argv);
Float tol = (argc > 1) ? atof(argv[1]) : 1e-10;
Float nu, t0;
field sigma_h;
din >> catchmark("nu") >> nu
>> catchmark("t0") >> t0
>> catchmark("sigma") >> sigma_h;
size_t k = sigma_h.get_space().degree();
integrate_option iopt;
iopt.set_family(integrate_option::gauss);
iopt.set_order(3*(k+1));
Float err_l2 = sqrt(integrate (sigma_h.get_geo(), norm2(sigma_h - sigma_exact(nu,t0)), iopt));
space Th1 (sigma_h.get_geo(), "P"+itos(3*(k+1))+"d", "tensor");
field eh = interpolate(Th1, sigma_h - sigma_exact(nu,t0));
Float err_linf = eh.max_abs();
derr << "err_l2 = " << err_l2 << endl
<< "err_linf = " << err_linf << endl;
return (err_l2 < tol) ? 0 : 1;
}
Float
see the Float page for the full documentation
field
see the field 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
rheolef
This file is part of Rheolef.
Definition compiler_eigen.h:39
rheolef::itos
std::string itos(std::size_t i)
Definition rheostream.h:279
rheolef::norm2
T norm2(const vec< T, M > &x)
norm2(x): see the expression page for the full documentation
Definition vec.h:379
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
rheolef::interpolate
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
STL namespace.
rheolef.h
rheolef - reference manual
nu
Definition nu.h:26
sigma_exact
Definition diffusion_tensor_exact.icc:25
transport_tensor_exact.icc
The tensorial transport benchmark – right-hand-side and exact solution.