Parallelization of coupled differential and integral methods using domain decomposition

This paper describes the parallel implementation of a preconditioned iterative solver based on the coupling of a differential (FEM) and an integral approach (BEM). Applying a domain decomposition scheme splits the problem into separate FEM and BEM parts and preserves the typical advantages of both methods. In particular, an independent parallelization with respect to the properties of both methods is possible. The limitations regarding computer resources that arise on sequential computers can therefore be overcome. The parallel implementation of the iterative framework is discussed with focus on the mechanisms for sharing and distributing information among the involved processes. A three-dimensional eddy current problem is presented as an example for discussing performance issues.