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Influence of a Rough Thin Layer on the Potential
| hal.structure.identifier | Institut Camille Jordan [ICJ] | |
| dc.contributor.author | CIUPERCA, Ionel | |
| hal.structure.identifier | Ampère [AMPERE] | |
| 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 | 2010-07-19 | |
| dc.identifier.issn | 0018-9464 | |
| dc.description.abstractEn | In this paper, we study the behavior of the steady-state potentials in a material composed by an interior medium surrounded by a rough thin layer and embedded in an ambient bounded medium. The roughness of the layer is supposed to be $varepsilon^{alpha}$ -periodic, $varepsilon$ being the small thickness of the layer and $alpha$ is a parameter, that describes the roughness of the layer: if $alpha<1$ the layer is weakly rough, while if $alpha>1$, the layer is very rough. Depending on the roughness of the membrane, the approximate transmission conditions are very different. We present and validate numerically the rigorous approximate transmissions proved by Poignard (Math. Meth. Appl. Sci., vol. 32, pp. 435–453, 2009) and Ciuperca (Research reports INRIA RR-6812 and RR-6975). This paper extends previous works of Perrussel and Poignard (IEEE Trans. Magn., vol. 44, pp. 1154–1157, 2008) in which the layer had a constant thickness. | |
| dc.description.sponsorship | Nouveaux outils conceptuels pour le calcul scientifique - Applications à l'electromagnétisme - ANR-06-BLAN-0417 | |
| dc.language.iso | en | |
| dc.publisher | Institute of Electrical and Electronics Engineers | |
| dc.subject.en | Asymptotic model | |
| dc.title.en | Influence of a Rough Thin Layer on the Potential | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1109/TMAG.2010.2044027 | |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Energie électrique | |
| bordeaux.journal | IEEE Transactions on Magnetics | |
| bordeaux.page | 2823 - 2826 | |
| bordeaux.volume | 46 | |
| bordeaux.issue | 8 | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00506120 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00506120v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=IEEE%20Transactions%20on%20Magnetics&rft.date=2010-07-19&rft.volume=46&rft.issue=8&rft.spage=2823%20-%202826&rft.epage=2823%20-%202826&rft.eissn=0018-9464&rft.issn=0018-9464&rft.au=CIUPERCA,%20Ionel&PERRUSSEL,%20Ronan&POIGNARD,%20Clair&rft.genre=article |
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