Rheolef  7.2
an efficient C++ finite element environment
neumann-laplace-check.cc
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1
21#include "rheolef.h"
22using namespace rheolef;
23using namespace std;
24size_t N;
25Float u_ex (const point& x) { return - 1./12 + (x[0]*(1-x[0]) + x[1]*(1-x[1]) + x[2]*(1-x[2]))/(2.*N); }
26int main(int argc, char**argv) {
27 environment rheolef (argc, argv);
28 Float error_linf_expected = (argc > 1) ? atof(argv[1]) : 1e+38;
29 field uh; din >> uh;
30 const space& Xh = uh.get_space();
31 N = Xh.get_geo().dimension();
32 field pi_h_u = lazy_interpolate(Xh, u_ex);
33 field eh = pi_h_u - uh;
34 trial u (Xh); test v (Xh);
35 form m = integrate (u*v);
36 form a = integrate (dot(grad(u),grad(v)));
37 derr << "error_l2 " << sqrt(m(eh,eh)) << endl
38 << "error_h1 " << sqrt(fabs(a(eh,eh))) << endl
39 << "error_linf " << eh.max_abs() << endl;
40 return (eh.max_abs() <= error_linf_expected) ? 0 : 1;
41}
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 point page for the full documentation
see the environment page for the full documentation
Definition: environment.h:121
see the space page for the full documentation
see the test page for the full documentation
see the test page for the full documentation
point u(const point &x)
rheolef::details::is_vec dot
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(const Expr &expr)
grad(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
STL namespace.
int main(int argc, char **argv)
size_t N
Float u_ex(const point &x)
rheolef - reference manual
Definition: leveque.h:25