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

The Zalesak slotted disk benchmark – error analysis

#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "zalesak.h"
Float heaviside (const Float& x) { return (x <= 0) ? 0 : 1; }
int main(int argc, char**argv) {
environment rheolef (argc, argv);
size_t subdivide = (argc > 1) ? atoi(argv[1]) : 1;
Float tol = (argc > 2) ? atof(argv[2]) : 1e-12;
Float meas_gamma = phi_exact(0).perimeter();
branch event ("t","phi");
integrate_option iopt;
iopt.set_family ("equispaced");
iopt.set_order (subdivide);
dout << setprecision(numeric_limits<Float>::digits10)
<< "# meas_gamma = " << meas_gamma << endl
<< "# equispaced("<<subdivide<<")" << endl
<< "# t err_l1 v=(m-m0)/m0 m" << endl;
bool first = true;
Float t = 0, err_linf_l1 = 0, m0 = 0, v_max = 0;
field phi_h;
geo omega;
while (din >> event (t, phi_h)) {
omega = phi_h.get_geo();
Float err_l1 = integrate (omega, abs(compose(heaviside,phi_h)
Float m = integrate (omega, 1. - compose(heaviside,phi_h), iopt);
if (first) {
m0 = m;
first = false;
}
Float v = (m-m0)/m0;
dout << t << " " << err_l1/meas_gamma
<< " " << v << " " << m << endl;
err_linf_l1 = max (err_linf_l1, err_l1/meas_gamma);
v_max = max (v_max, abs(v));
}
dout << "# omega.size = " << omega.size() << endl
<< "# omega.hmin = " << omega.hmin() << endl
<< "# err_linf_l1 = " << err_linf_l1 << endl
<< "# v_max = " << v_max << endl;
return (err_linf_l1 < tol && v_max < tol) ? 0 : 1;
}
see the Float page for the full documentation
see the branch 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
rheolef::space_base_rep< T, M > t
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:467
This file is part of Rheolef.
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_node_nary< typename details::function_traits< Function >::functor_type,typename details::field_expr_v2_nonlinear_terminal_wrapper_traits< Exprs >::type... > ::type compose(const Function &f, const Exprs &... exprs)
see the compose page for the full documentation
Definition: compose.h:247
rheolef - reference manual
Float perimeter() const
Definition: zalesak.h:82
The Zalesak slotted disk benchmark – the exact solution.
int main(int argc, char **argv)
Float heaviside(const Float &x)