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

The yield slip problem on a circle – error computation

#include "rheolef.h"
using namespace rheolef;
using namespace std;
int main(int argc, char**argv) {
environment rheolef (argc,argv);
Float tol = (argc > 1) ? atof(argv[1]) : 1e-15;
Float S, n, Cf;
field uh, lambda_h;
din >> catchmark("S") >> S
>> catchmark("n") >> n
>> catchmark("Cf") >> Cf
>> catchmark("u") >> uh
>> catchmark("lambda") >> lambda_h;
const geo& omega = uh.get_geo();
geo boundary = omega["boundary"];
const space& Xh = uh.get_space();
field pi_h_u = lazy_interpolate (Xh, u(S,n,Cf));
field eh = pi_h_u - uh;
integrate_option iopt;
iopt.set_family(integrate_option::gauss);
iopt.set_order(3*Xh.degree());
Float err_linf = eh.max_abs();
Float err_l2 = sqrt(integrate (omega, sqr(uh - u(S,n,Cf)), iopt));
Float err_h1 = sqrt(integrate (omega, norm2(grad(uh) - grad_u(S,n,Cf)), iopt));
Float err_b = sqrt(integrate (boundary, sqr(uh[boundary] - u(S,n,Cf)), iopt));
Float err_lb = sqrt(integrate (boundary, sqr(lambda_h - lambda(S,n,Cf)), iopt));
dout << "err_linf = " << err_linf << endl
<< "err_l2 = " << err_l2 << endl
<< "err_h1 = " << err_h1 << endl
<< "err_b = " << err_b << endl
<< "err_lb = " << err_lb << endl;
return (err_linf < 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
idiststream din(cin)
see the diststream page for the full documentation
Definition: diststream.h:464
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:467
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< 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
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
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
T norm2(const vec< T, M > &x)
norm2(x): see the expression page for the full documentation
Definition: vec.h:379
rheolef - reference manual
The yield slip problem on a circle – exact solution.
int main(int argc, char **argv)