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

Convection-diffusion equation by the hybrid discontinuous Galerkin method.

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();
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
see the catchmark page for the full documentation
Definition: catchmark.h:67
see the environment page for the full documentation
Definition: environment.h:121
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(int argc, char **argv)
space_basic< T, M > Xh1
Definition: field_expr.h:232
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This file is part of Rheolef.
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
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::has_field_rdof_interface< Expr >::value, details::field_expr_v2_nonlinear_terminal_field< typenameExpr::scalar_type, typenameExpr::memory_type, details::differentiate_option::gradient > >::type grad_h(const Expr &expr)
grad_h(uh): see the expression page for the full documentation
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
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
STL namespace.
rheolef - reference manual
Definition: nu.h:26