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

The combustion problem – error analysis.

The combustion problem – error analysis

#include "rheolef.h"
using namespace rheolef;
using namespace std;
int main(int argc, char**argv) {
environment rheolef (argc,argv);
bool is_upper = (argc > 1) && (argv[1][0] == '1');
bool is_crit = (argc > 1) && (argv[1][0] == 'c');
Float tol = (argc > 2) ? atof(argv[2]) : 1e-15;
Float lambda_h;
field uh;
din >> catchmark("lambda") >> lambda_h
>> catchmark("u") >> uh;
Float lambda = (is_crit ? lambda_c() : lambda_h);
const geo& omega = uh.get_geo();
const space& Xh = uh.get_space();
field pi_h_u = lazy_interpolate (Xh, u_exact(lambda,is_upper));
field eh = pi_h_u - uh;
iopt.set_family(integrate_option::gauss);
iopt.set_order(2*Xh.degree()+1);
Float err_l2
= sqrt(integrate(omega, norm2(uh - u_exact(lambda,is_upper)), iopt));
Float err_h1
= sqrt(integrate(omega, norm2(grad(uh)-grad_u(lambda,is_upper)), iopt));
Float err_linf = eh.max_abs();
dout << "err_linf = " << err_linf << endl
<< "err_l2 = " << err_l2 << endl
<< "err_h1 = " << err_h1 << endl;
return (err_h1 < tol) ? 0 : 1;
}
see the Float 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
see the integrate_option page for the full documentation
void set_family(family_type type)
see the space page for the full documentation
The combustion problem – its exact solution.
int main()
Definition field2bb.cc:58
Float lambda_c()
Definition lambda_c.h:44
This file is part of Rheolef.
STL namespace.
rheolef - reference manual