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neumann-laplace-check.cc
Go to the documentation of this file.
#include "rheolef.h"
using namespace rheolef;
using namespace std;
size_t N;
Float 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); }
int main(int argc, char**argv) {
environment rheolef (argc, argv);
Float error_linf_expected = (argc > 1) ? atof(argv[1]) : 1e+38;
field uh; din >> uh;
const space& Xh = uh.get_space();
N = Xh.get_geo().dimension();
field pi_h_u = lazy_interpolate(Xh, u_ex);
field eh = pi_h_u - uh;
trial u (Xh); test v (Xh);
form m = integrate (u*v);
form a = integrate (dot(grad(u),grad(v)));
derr << "error_l2 " << sqrt(m(eh,eh)) << endl
<< "error_h1 " << sqrt(fabs(a(eh,eh))) << endl
<< "error_linf " << eh.max_abs() << endl;
return (eh.max_abs() <= error_linf_expected) ? 0 : 1;
}
Float
see the Float page for the full documentation
field
see the field page for the full documentation
form
see the form page for the full documentation
point
see the point page for the full documentation
rheolef::environment
see the environment page for the full documentation
Definition environment.h:121
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
u
point u(const point &x)
Definition diffusion_transport_tensor_exact.icc:25
main
int main()
Definition field2bb.cc:58
rheolef
This file is part of Rheolef.
Definition compiler_eigen.h:39
rheolef::grad
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
Definition field_expr_terminal.h:930
rheolef::lazy_interpolate
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
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:211
rheolef::dot
rheolef::std::enable_if< details::is_vec_expr_v2_arg< Expr1 >::value &&details::is_vec_expr_v2_arg< Expr2 >::value, promote< Expr1::float_type, Expr2::float_type >::type > type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
Definition vec_expr_v2.h:415
std
STL namespace.
N
size_t N
Definition neumann-laplace-check.cc:24
u_ex
Float u_ex(const point &x)
Definition neumann-laplace-check.cc:25
rheolef.h
rheolef - reference manual
u
Definition leveque.h:25