mosolov_error_yield_surface.cc

The Mossolov problem for a circular pipe – error analysis for the yield surface

#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "mosolov_exact_circle.h"
Float delta (Float f, Float g) { return (f*g >= 0) ? 0 : 1; }
int main(int argc, char**argv) {
environment rheolef (argc,argv);
Float tol = (argc > 1) ? atof(argv[1]) : 1e-15;
Float Bi;
field sigma_h;
din >> catchmark("Bi") >> Bi
>> catchmark("sigma") >> sigma_h;
space Th = sigma_h.get_space();
geo omega = Th.get_geo();
integrate_option iopt;
iopt.set_family(integrate_option::gauss);
iopt.set_order(4*(Th.degree()+1));
Float err_ys_l1 = integrate (omega,
compose(delta, norm(sigma_h)-Bi, norm(sigma())-Bi), iopt);
dout << "err_ys_l1 = " << err_ys_l1 << endl;
return err_ys_l1 < tol ? 0 : 1;
}
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
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::norm
T norm(const vec< T, M > &x)
norm(x): see the expression page for the full documentation
Definition: vec.h:387
rheolef.h
rheolef - reference manual
rheolef::integrate_option
see the integrate_option page for the full documentation
Definition: integrate_option.h:125
rheolef::integrate_option::gauss
@ gauss
Definition: integrate_option.h:132
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
sigma
Definition: mosolov_exact_circle.h:40
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
Float
see the Float page for the full documentation
rheolef::integrate_option::set_family
void set_family(family_type type)
Definition: integrate_option.h:260
rheolef::compose
details::field_expr_v2_nonlinear_node_nary< typename details::function_traits< Function >::functor_type,typename details::field_expr_v2_nonlinear_terminal_wrapper_traits< Exprs >::type... > ::type compose(const Function &f, const Exprs &... exprs)
see the compose page for the full documentation
Definition: compose.h:246
g
Definition: cavity_dg.h:25
main
int main(int argc, char **argv)
Definition: mosolov_error_yield_surface.cc:30
rheolef::dout
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
mosolov_exact_circle.h
The Mossolov problem for a circular pipe – exact solution.
f
Definition: cavity_dg.h:29
rheolef::std
Definition: vec_expr_v2.h:391
geo
see the geo page for the full documentation
delta
Float delta(Float f, Float g)
Definition: mosolov_error_yield_surface.cc:29