Rheolef  7.2
an efficient C++ finite element environment
 
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helmholtz_s_error.cc
Go to the documentation of this file.
1
25#include "rheolef.h"
26using namespace std;
27using namespace rheolef;
28#include "sphere.icc"
29int 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 = lazy_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
see the space page for the full documentation
see the test page for the full documentation
see the test page for the full documentation
int main()
Definition field2bb.cc:58
This file is part of Rheolef.
std::enable_if< details::has_field_rdof_interface< Expr >::value, details::field_expr_v2_nonlinear_terminal_field< typenameExpr::scalar_type, typenameExpr::memory_type, details::differentiate_option::gradient > >::type grad_s(const Expr &expr)
grad_s(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
rheolef::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
STL namespace.
rheolef - reference manual
The level set function for the sphere geometry.
Definition leveque.h:25