Rheolef  7.1
an efficient C++ finite element environment
combustion_error.cc
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1 #include "rheolef.h"
26 using namespace rheolef;
27 using namespace std;
28 #include "combustion_exact.icc"
29 int main(int argc, char**argv) {
30  environment rheolef (argc,argv);
31  bool is_upper = (argc > 1) && (argv[1][0] == '1');
32  bool is_crit = (argc > 1) && (argv[1][0] == 'c');
33  Float tol = (argc > 2) ? atof(argv[2]) : 1e-15;
34  Float lambda_h;
35  field uh;
36  din >> catchmark("lambda") >> lambda_h
37  >> catchmark("u") >> uh;
38  Float lambda = (is_crit ? lambda_c() : lambda_h);
39  const geo& omega = uh.get_geo();
40  const space& Xh = uh.get_space();
41  field pi_h_u = interpolate (Xh, u_exact(lambda,is_upper));
42  field eh = pi_h_u - uh;
43  integrate_option iopt;
45  iopt.set_order(2*Xh.degree()+1);
46  Float err_l2
47  = sqrt(integrate(omega, norm2(uh - u_exact(lambda,is_upper)), iopt));
48  Float err_h1
49  = sqrt(integrate(omega, norm2(grad(uh)-grad_u(lambda,is_upper)), iopt));
50  Float err_linf = eh.max_abs();
51  dout << "err_linf = " << err_linf << endl
52  << "err_l2 = " << err_l2 << endl
53  << "err_h1 = " << err_h1 << endl;
54  return (err_h1 < tol) ? 0 : 1;
55 }
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
Definition: environment.h:104
T max_abs() const
Definition: field.h:731
see the integrate_option page for the full documentation
void set_family(family_type type)
idiststream din
see the diststream page for the full documentation
Definition: diststream.h:427
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
see the space page for the full documentation
int main(int argc, char **argv)
The combustion problem – its exact solution.
field_basic< T, M > eh
Float lambda_c()
Definition: lambda_c.h:44
This file is part of Rheolef.
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type grad(const Expr &expr)
grad(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:202
field_basic< T, M > interpolate(const space_basic< T, M > &V2h, const field_basic< T, M > &u1h)
see the interpolate page for the full documentation
Definition: interpolate.cc:233
T norm2(const vec< T, M > &x)
norm2(x): see the expression page for the full documentation
Definition: vec.h:379
rheolef - reference manual
g u_exact
Definition: taylor_exact.h:26
tensor grad_u