Rheolef  7.2
an efficient C++ finite element environment
 
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combustion_error.cc
Go to the documentation of this file.
1
25#include "rheolef.h"
26using namespace rheolef;
27using namespace std;
28#include "combustion_exact.icc"
29int 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 = lazy_interpolate (Xh, u_exact(lambda,is_upper));
42 field eh = pi_h_u - uh;
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
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.
std::enable_if< details::has_field_rdof_interface< Expr >::value, details::field_expr_v2_nonlinear_terminal_field< typenameExpr::scalar_type, typenameExpr::memory_type, details::differentiate_option::gradient > >::type grad(const Expr &expr)
grad(uh): see the expression page for the full documentation
field_basic< T, M > lazy_interpolate(const space_basic< T, M > &X2h, const field_basic< T, M > &u1h)
see the interpolate page for the full documentation
Definition field.h:871
T norm2(const vec< T, M > &x)
norm2(x): see the expression page for the full documentation
Definition vec.h:379
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
STL namespace.
rheolef - reference manual