A Well-Conditioned Weak Coupling of Boundary Element and High-Order Finite Element Methods for Time-Harmonic Electromagnetic Scattering by Inhomogeneous Objects

Abstract

The aim of this paper is to propose efficient weak coupling formulations between the boundary element method and the high-order finite element method for solving time-harmonic electromagnetic scattering problems. The approach is based on the use of a non-overlapping domain decomposition method involving optimal transmission operators. The associated transmission conditions are constructed through a localization process based on complex rational Padé approximants of the nonlocal Magnetic-to-Electric operators. Numerical results are presented to validate and analyze the new approach for both homogeneous and inhomogeneous scatterers.

A Well-Conditioned Weak Coupling of Boundary Element and High-Order Finite Element Methods for Time-Harmonic Electromagnetic Scattering

“…Element Methods for Time-Harmonic Electromagnetic Scattering I. Badia* (1) , X. Antoine (2) and C. Geuzaine (3) (1) Thales Defense Mission Systems France, Elancourt, France; e-mail: ismail.badia@thalesgroup.com (2) Université de Lorraine, CNRS, Inria, IECL, Nancy, France; e-mail: xavier.antoine@univ-lorraine.fr…”

“…We present here an efficient weak coupling formulation [1] between the boundary element method and the highorder finite element method, allowing a simple construction of such a solver. The approach is based on the use of a non-overlapping domain decomposition method involving quasi-optimal transmission operators.…”