Rheolef  7.1
an efficient C++ finite element environment
mosolov_error.cc
Go to the documentation of this file.
1 #include "rheolef.h"
26 using namespace rheolef;
27 using namespace std;
28 #include "mosolov_exact_circle.h"
29 int main(int argc, char**argv) {
30  environment rheolef (argc,argv);
31  Float tol_u = (argc > 1) ? atof(argv[1]) : 1e-15;
32  Float tol_s = (argc > 2) ? atof(argv[2]) : 1e-15;
33  Float Bi, n;
34  field sigma_h, uh;
35  din >> catchmark("Bi") >> Bi
36  >> catchmark("n") >> n
37  >> catchmark("sigma") >> sigma_h
38  >> catchmark("u") >> uh;
39  const geo& omega = uh.get_geo();
40  Float meas_omega = integrate(uh.get_geo());
41  geo boundary = omega["boundary"];
42  const space& Xh = uh.get_space();
43  const space& Th = sigma_h.get_space();
44  integrate_option iopt;
46  iopt.set_order(3*Xh.degree());
47  Float err_u_l2 = sqrt(integrate (omega, sqr(uh - u(Bi,n)), iopt)/meas_omega);
48  Float err_u_h1 = sqrt(integrate (omega, norm2(grad(uh) - grad_u(Bi,n)), iopt)/meas_omega);
49  Float err_s_l2 = sqrt(integrate (omega, norm2(sigma_h - sigma(Bi,n)), iopt)/meas_omega);
50  space Xh1 (omega, "P" + itos(2*Xh.degree()));
51  space Th1 (omega, "P" + itos(2*Xh.degree()) + "d", "vector");
52  field euh = interpolate (Xh1, uh - u(Bi,n));
53  field esh = interpolate (Th1, sigma_h - sigma(Bi,n));
54  Float err_u_linf = euh.max_abs();
55  Float err_s_linf = esh.max_abs();
56  dout << "err_u_linf = " << err_u_linf << endl
57  << "err_u_l2 = " << err_u_l2 << endl
58  << "err_u_h1 = " << err_u_h1 << endl
59  << "err_s_linf = " << err_s_linf << endl
60  << "err_s_l2 = " << err_s_l2 << endl;
61  return (err_u_linf < tol_u) && (err_s_l2 < tol_s) ? 0 : 1;
62 }
Xh1
space_basic< T, M > Xh1
Definition: field_expr.h:220
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
main
int main(int argc, char **argv)
Definition: mosolov_error.cc:29
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
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
mkgeo_ugrid.boundary
boundary
Definition: mkgeo_ugrid.sh:181
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
u
Float u(const point &x)
Definition: transmission_error.cc:26
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
mkgeo_ball.n
n
Definition: mkgeo_ball.sh:150
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.
rheolef::itos
std::string itos(std::string::size_type i)
itos: see the rheostream page for the full documentation
rheolef::std
Definition: vec_expr_v2.h:391
geo
see the geo page for the full documentation