A well-conditioned weak coupling of boundary element and high-order finite element methods for time-harmonic electromagnetic scattering by inhomogeneous objects - Inria - Institut national de recherche en sciences et technologies du numérique
Journal Articles SIAM Journal on Scientific Computing Year : 2022

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.
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Dates and versions

hal-03305269 , version 1 (28-07-2021)

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Cite

Ismaïl Badia, Boris Caudron, Xavier Antoine, Christophe Geuzaine. A well-conditioned weak coupling of boundary element and high-order finite element methods for time-harmonic electromagnetic scattering by inhomogeneous objects. SIAM Journal on Scientific Computing, 2022, 44 (3), pp.B640-B667. ⟨10.1109/ACES53325.2021.00144⟩. ⟨hal-03305269⟩
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