Boundary Condiditions
The boundary Γ of the domain Ω is split into three parts:
- Γ0 = {x ∈ Γ :
nT a n > 0}: the elliptic boundary
- Γ- = {x ∈ Γ :
bT n < 0}: the inflow boundary, here Dirichlet
boundary conditions have to be prescribed.
- Γ+ = {x ∈ Γ :
bT n ≥ 0}: the outflow boundary
Γ0 is decomposed into two
parts: ΓD with Dirichlet
boundary conditions and ΓN
with Neumann boundary conditions.
To sum it up, these boundary conditions have to be prescribed: gD on ΓD ∪ Γ- and
gN on ΓN. The user has to make sure
that the boundary Γ- is
marked as Dirichlet boundary.