Rheolef  7.2
an efficient C++ finite element environment
convect_hdg_error.cc

Convection-diffusion equation by the hybrid discontinuous Galerkin method

#include "rheolef.h"
using namespace rheolef;
using namespace std;
int main (int argc, char **argv) {
environment rheolef (argc,argv);
Float tol = (argc > 1) ? atof(argv[1]) : 1e+38;
bool dump = (argc > 2);
field phi_h;
din >> catchmark("nu") >> nu
>> catchmark("phi") >> phi_h;
space Xh = phi_h.get_space();
geo omega = phi_h.get_geo();
size_t d = Xh.get_geo().dimension();
size_t k = Xh.degree();
integrate_option iopt;
iopt.set_family(integrate_option::gauss);
iopt.set_order(2*k+1);
Float err_l2 = sqrt(integrate (omega, sqr(phi_h-phi(d,nu)), iopt));
basis b1 = Xh.get_basis();
b1.reset_family_index (k+1);
space Xh1 (omega, b1);
field eh = lazy_interpolate (Xh1, phi_h-phi(d,nu));
Float err_linf = eh.max_abs();
Float err_h1 = sqrt(integrate (omega, norm2(grad_h(eh)), iopt)
+ integrate (omega.sides(), (1/h_local())*sqr(jump(eh)), iopt));
derr << "err_l2 = " << err_l2 << endl
<< "err_linf = " << err_linf << endl
<< "err_h1 = " << err_h1 << endl;
if (dump) {
field pi_h_phi = lazy_interpolate (Xh, phi(d,nu));
dout << catchmark("phi") << phi_h
<< catchmark("phi_e") << pi_h_phi;
}
return (err_linf <= tol) ? 0 : 1;
}
Float phi(const point &nu, Float a, Float b)
see the Float page for the full documentation
see the basis page for the full documentation
see the field page for the full documentation
see the geo page for the full documentation
idiststream din(cin)
see the diststream page for the full documentation
Definition: diststream.h:464
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:467
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)
space_basic< T, M > Xh1
Definition: field_expr.h:232
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.
details::field_expr_v2_nonlinear_terminal_function< details::h_local_pseudo_function< Float > > h_local()
h_local: see the expression page for the full documentation
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
std::enable_if< details::has_field_rdof_interface< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type grad_h(const Expr &expr)
grad_h(uh): see the expression page for the full documentation
T norm2(const vec< T, M > &x)
norm2(x): see the expression page for the full documentation
Definition: vec.h:379
rheolef - reference manual
Definition: nu.h:26