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| HAL: inria-00614033, version 2 |
| DOI: 10.1109/TMAG.2011.2175378 |
| See detailed view |  BibTeX,EndNote,... |
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| IEEE Transactions on Magnetics 48, 2 (2012) 679-682 |
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| Available versions | v1 (2011-08-08) | v2 (2011-11-04) |
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| Eddy currents and corner singularities |
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| François Buret 1Monique Dauge 2 |
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| (2012-01) |
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| Eddy current problems are addressed in this paper, in a bidimensional setting where the conducting medium is non-magnetic and has a corner singularity. For any fixed skin depth we show that the flux density is bounded near the corner, unlike the perfect conducting case. Then as the skin depth goes to zero, the first two terms of a multiscale expansion of the magnetic potential are introduced to tackle the magneto-harmonic problem. The heuristics of the method are given and numerical computations illustrate the obtained accuracy. |
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| 1: | Ampère |
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CNRS : UMR5005 – Université Claude Bernard - Lyon I – Institut National des Sciences Appliquées (INSA) - Lyon – Ecole Centrale de Lyon |
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| 2: | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| 3: | Applied and Computational Electromagnetics (ACE) |
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Université de Liège – Institut Montefiore - Département d'Electricité, Electronique et Informatique (Liège) – Fonds de la Recherche Scientifique [FNRS] |
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| 4: | Laboratoire de Mathématiques et de leurs Applications de Pau (LMA-PAU) |
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CNRS : UMR5142 – Université de Pau et des Pays de l'Adour [UPPA] |
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| 5: | MAGIQUE-3D (INRIA Bordeaux - Sud-Ouest) |
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INRIA – CNRS – Université de Pau et des Pays de l'Adour [UPPA] |
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| 6: | Laboratoire Plasma et Conversion d'Energie (LAPLACE) |
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CNRS : UMR5213 – Université Paul Sabatier [UPS] - Toulouse III – Institut National Polytechnique de Toulouse |
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| 7: | Institut de Mathématiques de Bordeaux (IMB) |
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CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II |
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| 8: | MC2 (INRIA Bordeaux - Sud-Ouest) |
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INRIA – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II – CNRS : UMR |
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| Analyse numérique |
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| Domain | : | Mathematics/Analysis of PDEs |
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| eddy current problem – singularity – asymptotic expansion |
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| Attached file list to this document: | |||||
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| inria-00614033, version 2 | |
| http://hal.inria.fr/inria-00614033 | |
| oai:hal.inria.fr:inria-00614033 | |
| From: Clair Poignard | |
| Submitted on: Friday, 4 November 2011 11:19:32 | |
| Updated on: Tuesday, 21 February 2012 16:58:26 | |
