Rheolef  7.2
an efficient C++ finite element environment
yield_slip_error.cc
Go to the documentation of this file.
1
25#include "rheolef.h"
26using namespace rheolef;
27using namespace std;
28#include "yield_slip_circle.h"
29int main(int argc, char**argv) {
30 environment rheolef (argc,argv);
31 Float tol = (argc > 1) ? atof(argv[1]) : 1e-15;
32 Float S, n, Cf;
33 field uh, lambda_h;
34 din >> catchmark("S") >> S
35 >> catchmark("n") >> n
36 >> catchmark("Cf") >> Cf
37 >> catchmark("u") >> uh
38 >> catchmark("lambda") >> lambda_h;
39 const geo& omega = uh.get_geo();
40 geo boundary = omega["boundary"];
41 const space& Xh = uh.get_space();
42 field pi_h_u = lazy_interpolate (Xh, u(S,n,Cf));
43 field eh = pi_h_u - uh;
45 iopt.set_family(integrate_option::gauss);
46 iopt.set_order(3*Xh.degree());
47 Float err_linf = eh.max_abs();
48 Float err_l2 = sqrt(integrate (omega, sqr(uh - u(S,n,Cf)), iopt));
49 Float err_h1 = sqrt(integrate (omega, norm2(grad(uh) - grad_u(S,n,Cf)), iopt));
50 Float err_b = sqrt(integrate (boundary, sqr(uh[boundary] - u(S,n,Cf)), iopt));
51 Float err_lb = sqrt(integrate (boundary, sqr(lambda_h - lambda(S,n,Cf)), iopt));
52 dout << "err_linf = " << err_linf << endl
53 << "err_l2 = " << err_l2 << endl
54 << "err_h1 = " << err_h1 << endl
55 << "err_b = " << err_b << endl
56 << "err_lb = " << err_lb << endl;
57 return (err_linf < tol) ? 0 : 1;
58}
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:121
see the integrate_option page for the full documentation
void set_family(family_type type)
see the space page for the full documentation
point u(const point &x)
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
The yield slip problem on a circle – exact solution.
int main(int argc, char **argv)