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 homogeneous von Neumann conditions on the other edges. The analytical solution is $`u(x,y) = x`$.
\ No newline at end of file
This tutorial illustrates overlapping DDM. The first domain solves the equation for $`x`$ ranging from 0 to 1.2, and the other domain from 0.8 to 2. They exchange data over the center of the domain (0.8 to 1.2), which provide the boundary conditions on the inner boundaries.
