Rheolef  7.1
an efficient C++ finite element environment
combustion_error.cc
Go to the documentation of this file.
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 }
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
rheolef::integrate_option::set_order
void set_order(size_t r)
Definition: integrate_option.h:254
lambda_c
Float lambda_c()
Definition: lambda_c.h:44
combustion_exact.icc
The combustion problem – its exact solution.
field
see the field page for the full documentation
rheolef::integrate
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
space
see the space page for the full documentation
rheolef::grad
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
Definition: field_expr_terminal.h:911
rheolef.h
rheolef - reference manual
main
int main(int argc, char **argv)
Definition: combustion_error.cc:29
rheolef::norm2
T norm2(const vec< T, M > &x)
norm2(x): see the expression page for the full documentation
Definition: vec.h:379
rheolef::integrate_option
see the integrate_option page for the full documentation
Definition: integrate_option.h:125
rheolef::integrate_option::gauss
Definition: integrate_option.h:132
rheolef::interpolate
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
eh
field_basic< T, M > eh
Definition: form_field_expr.h:58
rheolef::din
idiststream din
see the diststream page for the full documentation
Definition: diststream.h:427
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
u_exact
g u_exact
Definition: taylor_exact.h:26
Float
see the Float page for the full documentation
grad_u
tensor grad_u
Definition: transport_tensor_exact.icc:26
rheolef::integrate_option::set_family
void set_family(family_type type)
Definition: integrate_option.h:260
rheolef::dout
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
rheolef::std
Definition: vec_expr_v2.h:391
geo
see the geo page for the full documentation
lambda
Definition: yield_slip_circle.h:34