Surface integral equations for electromagnetic testing: the low-frequency and high-contrast case

Audrey Vigneron 1 Édouard Demaldent 2 Marc Bonnet 1
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : This study concerns boundary element methods applied to electromagnetic testing, for a wide range of frequencies and conductivities. The eddy currents approximation cannot handle all configurations, while the common Maxwell formulation suffers from numerical instabilities at low frequency or in presence of highly contrasted media. We draw on studies that overcome these problems for dielectric configurations to treat conductive bodies, and show how to link them to eddy current formulations under suitable assumptions. This is intended as a first step towards a generic formulation that can be modified in each sub-domain according to the corresponding medium.
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Audrey Vigneron, Édouard Demaldent, Marc Bonnet. Surface integral equations for electromagnetic testing: the low-frequency and high-contrast case. IEEE Transactions on Magnetics, Institute of Electrical and Electronics Engineers, 2014, 50, pp.7002704. ⟨10.1109/TMAG.2013.2283297⟩. ⟨hal-00937766⟩

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