Domain decomposition - an overview
Domain decomposition methods are a widely used tool for the efficient solution of discretizations of boundary value problems of partial differential equations.
They can be applied for elliptic problems with highly variable diffussion coefficients, for hp-FEM discretizations or for the discretization of Maxwell equations.
In this talk we will give an overview about existing techniques:
(a) Nonoverlapping domain decomposition
(b) Overlapping domain decomposition
(c) Finite Element Tearing and Interconnecting methods (FETI).
The main convergence estimates for the iterative solvers are summarized.
The talk finishes with a few experiments for discretizations of the time-harmonic Maxwell equations.
