Rheolef  7.1
an efficient C++ finite element environment
helmholtz_s_error.cc
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1 #include "rheolef.h"
26 using namespace std;
27 using namespace rheolef;
28 #include "sphere.icc"
29 int main (int argc, char**argv) {
30  environment rheolef(argc, argv);
31  Float tol = (argc > 1) ? atof(argv[1]) : 1e+38;
32  field uh; din >> uh;
33  const space& Wh = uh.get_space();
34  trial u (Wh); test v (Wh);
35  form m = integrate (u*v);
36  form a = integrate (dot(grad_s(u),grad_s(v)));
37  size_t d = Wh.get_geo().dimension();
38  field pi_h_u = interpolate(Wh, u_exact(d));
39  field eh = uh - pi_h_u;
40  dout << "err_l2 " << sqrt(m(eh,eh)) << endl
41  << "err_h1 " << sqrt(a(eh,eh)) << endl
42  << "err_linf " << eh.max_abs() << endl;
43  return (eh.max_abs() < tol) ? 0 : 1;
44 }
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 environment page for the full documentation
Definition: environment.h:104
T max_abs() const
Definition: field.h:731
see the space page for the full documentation
see the test page for the full documentation
see the test page for the full documentation
field_basic< T, M > eh
int main(int argc, char **argv)
rheolef::details::is_vec dot
This file is part of Rheolef.
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_s(const Expr &expr)
grad_s(uh): see the expression page for the full documentation
idiststream din(cin)
see the diststream 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
rheolef - reference manual
The level set function for the sphere geometry.
Definition: leveque.h:25
g u_exact
Definition: taylor_exact.h:26
Float u(const point &x)