Skip to Main content Skip to Navigation
Journal articles

Asymptotic Expansion of Steady-State Potential in a High Contrast Medium with a Thin Resistive Layer

Ronan Perrussel 1 Clair Poignard 2, 3
2 MC2 - Modélisation, contrôle et calcul
Inria Bordeaux - Sud-Ouest, UB - Université de Bordeaux, CNRS - Centre National de la Recherche Scientifique : UMR5251
Abstract : 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.
Document type :
Journal articles
Complete list of metadata

Cited literature [25 references]  Display  Hide  Download

https://hal.inria.fr/inria-00442659
Contributor : Clair Poignard <>
Submitted on : Tuesday, June 7, 2011 - 4:47:39 PM
Last modification on : Thursday, February 11, 2021 - 2:54:02 PM

File

RR-7163.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Ronan Perrussel, Clair Poignard. Asymptotic Expansion of Steady-State Potential in a High Contrast Medium with a Thin Resistive Layer. Applied Mathematics and Computation, Elsevier, 2013, 221, pp.48-65. ⟨10.1016/j.amc.2013.06.047⟩. ⟨inria-00442659v2⟩

Share

Metrics

Record views

1207

Files downloads

2238