A simple preconditioned domain decomposition method for electromagnetic scattering problems

TL;DR

This paper introduces a straightforward preconditioned domain decomposition method for efficiently solving large-scale electromagnetic scattering problems involving resonant cavities using EFIE, enhancing iterative solution performance.

Contribution

It proposes a novel simple preconditioner based on the single layer operator for a domain decomposition method applied to electromagnetic scattering problems.

Findings

Effective preconditioning improves convergence

Applicable to large and resonant cavities

Enhances iterative solution efficiency

Abstract

We present a domain decomposition method (DDM) devoted to the iterative solution of time-harmonic electromagnetic scattering problems, involving large and resonant cavities. This DDM uses the electric field integral equation (EFIE) for the solution of Maxwell problems in both interior and exterior subdomains, and we propose a simple preconditioner for the global method, based on the single layer operator restricted to the fictitious interface between the two subdomains.