Rheolef  7.2
an efficient C++ finite element environment
laplace_s.cc

The Poisson problem on a surface.

The Poisson problem on a surface

#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "torus.icc"
int main (int argc, char**argv) {
environment rheolef (argc, argv);
geo gamma (argv[1]);
size_t d = gamma.dimension();
space Wh (gamma, argv[2]);
trial u (Wh); test v (Wh);
field lh = integrate (f(d)*v);
form A = {{ a, b },
{ trans(b), 0 }};
field Bh = { lh, 0 };
field Uh (Bh.get_space(), 0);
A.set_symmetry(true);
problem pa (A);
pa.solve (Bh, Uh);
dout << Uh[0];
}
field lh(Float epsilon, Float t, const test &v)
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 problem 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)
int main(int argc, char **argv)
Definition: laplace_s.cc:29
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_s(const Expr &expr)
grad_s(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:211
csr< T, sequential > trans(const csr< T, sequential > &a)
trans(a): see the form page for the full documentation
Definition: csr.h:455
Float gamma[][pmax+1]
STL namespace.
rheolef - reference manual
Definition: leveque.h:25
The torus benchmark – level set, right-hand-side and exact solution.