Asymptotic Expansion of Steady-State Potential in a High Contrast Medium with a Thin Resistive Layer
| hal.structure.identifier | Groupe de Recherche en Electromagnétisme [LAPLACE-GRE] | |
| dc.contributor.author | PERRUSSEL, Ronan | |
| hal.structure.identifier | Modélisation, contrôle et calcul [MC2] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | POIGNARD, Clair | |
| dc.date.issued | 2013-09-15 | |
| dc.identifier.issn | 0096-3003 | |
| dc.description.abstractEn | 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. | |
| dc.description.sponsorship | Modélisation multi-échelle de l'électroporation validée par les expériences - ANR-11-BS01-0006 | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.title.en | Asymptotic Expansion of Steady-State Potential in a High Contrast Medium with a Thin Resistive Layer | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.amc.2013.06.047 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Applied Mathematics and Computation | |
| bordeaux.page | 48-65 | |
| bordeaux.volume | 221 | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | inria-00442659 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//inria-00442659v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Applied%20Mathematics%20and%20Computation&rft.date=2013-09-15&rft.volume=221&rft.spage=48-65&rft.epage=48-65&rft.eissn=0096-3003&rft.issn=0096-3003&rft.au=PERRUSSEL,%20Ronan&POIGNARD,%20Clair&rft.genre=article |
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