Asymptotic Expansion of Steady-State Potential in a High Contrast Medium with a Thin Resistive Layer
Language
en
Article de revue
This item was published in
Applied Mathematics and Computation. 2013-09-15, vol. 221, p. 48-65
Elsevier
English 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 ...Read more >
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.Read less <
ANR Project
Modélisation multi-échelle de l'électroporation validée par les expériences - ANR-11-BS01-0006
Origin
Hal imported