Solution of the 2-D eddy current problem via the domain decomposition methods on serial and parallel computers

Abstract

Domain decomposition algorithms are applied to the solution of a time harmonic two-dimensional eddy current problem. The system of differential equations describing this problem is considered as a singularly perturbed problem. An iterative domain decomposition algorithm suitable for parallelization is described, and convergence of this algorithm is established. The implementation on a shared memory multiprocessor is described, and numerical experiments are presented.