Eddy currents and corner singularities
| hal.structure.identifier | Ampère [AMPERE] | |
| dc.contributor.author | BURET, François | |
| hal.structure.identifier | Institut de Recherche Mathématique de Rennes [IRMAR] | |
| dc.contributor.author | DAUGE, Monique | |
| hal.structure.identifier | Applied and Computational Electromagnetics [Liège] [ACE] | |
| dc.contributor.author | DULAR, Patrick | |
| hal.structure.identifier | Ampère [AMPERE] | |
| dc.contributor.author | KRÄHENBÜHL, Laurent | |
| hal.structure.identifier | Laboratoire de Mathématiques et de leurs Applications [Pau] [LMAP] | |
| hal.structure.identifier | Advanced 3D Numerical Modeling in Geophysics [Magique 3D] | |
| dc.contributor.author | PÉRON, Victor | |
| hal.structure.identifier | Groupe de Recherche en Electromagnétisme [LAPLACE-GRE] | |
| dc.contributor.author | PERRUSSEL, Ronan | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Modélisation, contrôle et calcul [MC2] | |
| dc.contributor.author | POIGNARD, Clair | |
| hal.structure.identifier | Ampère [AMPERE] | |
| dc.contributor.author | VOYER, Damien | |
| dc.date.created | 2011-07-12 | |
| dc.date.issued | 2012-01 | |
| dc.identifier.issn | 0018-9464 | |
| dc.description.abstractEn | 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. | |
| dc.language.iso | en | |
| dc.publisher | Institute of Electrical and Electronics Engineers | |
| dc.subject.en | eddy current problem | |
| dc.subject.en | singularity | |
| dc.subject.en | asymptotic expansion | |
| dc.title.en | Eddy currents and corner singularities | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1109/TMAG.2011.2175378 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | IEEE Transactions on Magnetics | |
| bordeaux.page | 679-682 | |
| bordeaux.volume | 48 | |
| bordeaux.issue | 2 | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | inria-00614033 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//inria-00614033v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=IEEE%20Transactions%20on%20Magnetics&rft.date=2012-01&rft.volume=48&rft.issue=2&rft.spage=679-682&rft.epage=679-682&rft.eissn=0018-9464&rft.issn=0018-9464&rft.au=BURET,%20Fran%C3%A7ois&DAUGE,%20Monique&DULAR,%20Patrick&KR%C3%84HENB%C3%9CHL,%20Laurent&P%C3%89RON,%20Victor&rft.genre=article |
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