PERRUSSEL, Ronan; POIGNARD, Clair

doi:10.1016/j.amc.2013.06.047

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PERRUSSEL, Ronan
Groupe de Recherche en Electromagnétisme [LAPLACE-GRE]

POIGNARD, Clair
Modélisation, contrôle et calcul [MC2]
Institut de Mathématiques de Bordeaux [IMB]

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Article de revue

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Applied Mathematics and Computation. 2013-09-15, vol. 221, p. 48-65

Elsevier

Resumen en inglés

We study the steady-state potential in a high contrast medium with a resistive thin layer. We provide asymptotic expansion of the potential at any order. Transmission conditions at any order and the corresponding variational formulation are given. We prove uniform estimates with respect to the thickness of the layer and with respect to its resistivity. The main insight consists in the uniform variational formulation whatever small the layer conductivity is. Numerical simulations illustrate the theoretical results.< Leer menos

DOI

http://dx.doi.org/10.1016/j.amc.2013.06.047

Proyecto ANR

Modélisation multi-échelle de l'électroporation validée par les expériences - ANR-11-BS01-0006

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Centros de investigación

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251