We solve a homogeneous Poisson (i.e. Laplace) equation with domain decomposition.
We solve a homogeneous Poisson (i.e. Laplace) equation with domain decomposition.
The domain is a 2 by one rectangle, with boundary conditions $u(0, y) = 0, u(2, y) = 2$ and homogenuous von Neumann conditions on the other edges. The analytical solution is $u(x,y) = x$.
The domain is a 2 by one rectangle, with boundary conditions $`u(0, y) = 0, u(2, y) = 2`$ and homogenuous von Neumann conditions on the other edges. The analytical solution is $`u(x,y) = x`$.