Rheolef  7.1
an efficient C++ finite element environment
stokes_couette_slip_error.cc
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1 #include "rheolef.h"
22 using namespace rheolef;
23 using namespace std;
24 point u_exact (const point& x) { return point(-x[1],x[0]); }
25 int main(int argc, char**argv) {
26  environment rheolef (argc, argv);
27  Float tol = (argc > 1) ? atof(argv[1]) : 1e-10;
28  field uh, ph;
29  din >> catchmark("u") >> uh
30  >> catchmark("p") >> ph;
31  const space& Xh = uh.get_space(),
32  Qh = ph.get_space();
33  const geo& omega = Xh.get_geo();
34  size_t k = Xh.degree();
35  Float meas_omega = integrate(omega);
36  field pi_h_u = interpolate (Xh,u_exact),
37  pi_h_p (Qh, 0.);
38  trial u (Xh), p (Qh);
39  test v (Xh), q (Qh);
40  form m = integrate (dot(u,v)),
41  a = integrate (ddot(grad(u),grad(v)));
42  integrate_option iopt;
43  iopt.set_order (2*(k+2)+3);
44  Float err_l2_u = sqrt(integrate (omega, norm2(uh-pi_h_u), iopt)/meas_omega);
45  derr << "err_l2_u = " << err_l2_u << endl;
46  return (err_l2_u < tol) ? 0 : 1;
47 }
see the Float page for the full documentation
see the field page for the full documentation
see the form page for the full documentation
see the geo page for the full documentation
see the point 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:115
see the integrate_option page for the full documentation
point_basic< Float > point
Definition: point.h:164
idiststream din
see the diststream page for the full documentation
Definition: diststream.h:427
odiststream derr(cerr)
see the diststream page for the full documentation
Definition: diststream.h:436
see the space page for the full documentation
see the test page for the full documentation
see the test page for the full documentation
This file is part of Rheolef.
rheolef::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
dot(x,y): see the expression page for the full documentation
Definition: vec_expr_v2.h:415
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
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
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
T norm2(const vec< T, M > &x)
norm2(x): see the expression page for the full documentation
Definition: vec.h:379
T ddot(const tensor_basic< T > &a, const tensor_basic< T > &b)
ddot(x,y): see the expression page for the full documentation
Definition: tensor.cc:278
rheolef - reference manual
point u_exact(const point &x)
int main(int argc, char **argv)
Definition: sphere.icc:25
Definition: leveque.h:25
Float u(const point &x)