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

The Zalesak slotted disk benchmark – error analysis.

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");
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)
- compose(heaviside,phi_exact(t))), iopt);
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
see the environment page for the full documentation
see the integrate_option page for the full documentation
void set_family(family_type type)
int main()
Definition field2bb.cc:58
This file is part of Rheolef.
STL namespace.
rheolef - reference manual
Float perimeter() const
Definition zalesak.h:82
The Zalesak slotted disk benchmark – the exact solution.
Float heaviside(const Float &x)