poisson_robin.icc

The Poisson problem with Robin boundary condition – solver function

field poisson_robin (Float Cf, const geo& boundary, const field& lh) {
const space& Xh = lh.get_space();
trial u (Xh); test v (Xh);
form a = integrate(dot(grad(u),grad(v))) + Cf*integrate(boundary, u*v);
field uh (Xh);
problem p (a);
p.solve (lh, uh);
return uh;
}
form
see the form page for the full documentation
field
see the field page for the full documentation
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:202
space
see the space page for the full documentation
rheolef::grad
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(const Expr &expr)
grad(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:911
p
Definition: sphere.icc:25
a
Definition: diffusion_isotropic.h:25
mkgeo_ugrid.boundary
boundary
Definition: mkgeo_ugrid.sh:181
lh
field lh(Float epsilon, Float t, const test &v)
Definition: burgers_diffusion_operators.icc:25
test
see the test page for the full documentation
problem
see the problem page for the full documentation
u
Definition: leveque.h:25
Float
see the Float page for the full documentation
u
Float u(const point &x)
Definition: transmission_error.cc:26
trial
see the test page for the full documentation
poisson_robin
field poisson_robin(Float Cf, const geo &boundary, const field &lh)
Definition: poisson_robin.icc:25
geo
see the geo page for the full documentation
rheolef::details::dot
rheolef::details::is_vec dot