Solution of the problem:
∇(∇u(x)) = 1, ∀x ∈ Ω
u(x) = 1, ∀x ∈ Γ
u(x) = 0, ∀x ∈ ∂Ω \ Γ
on a plate with hole, where Ω is the domain of the plate, and two Dirichlet conditions are applied to the border.
Solution of the problem:
∇(∇u(x)) = 1, ∀x ∈ Ω
u(x) = 0, ∀x ∈ Γ_D,0
u(x) = 1, ∀x ∈ Γ_D,1
u(x) = 2, ∀x ∈ Γ_D,2
∂u(x)/∂v = 9x, ∀x ∈ Γ_N
on a plate with hole, where Γ represent a subset of the border, D means condition is Dirichlet and N is a Neumann condition.
