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Eddy currents and corner singularities

hal.structure.identifierAmpère [AMPERE]
dc.contributor.authorBURET, François
hal.structure.identifierInstitut de Recherche Mathématique de Rennes [IRMAR]
dc.contributor.authorDAUGE, Monique
hal.structure.identifierApplied and Computational Electromagnetics [Liège] [ACE]
dc.contributor.authorDULAR, Patrick
hal.structure.identifierAmpère [AMPERE]
dc.contributor.authorKRÄHENBÜHL, Laurent
hal.structure.identifierLaboratoire de Mathématiques et de leurs Applications [Pau] [LMAP]
hal.structure.identifierAdvanced 3D Numerical Modeling in Geophysics [Magique 3D]
dc.contributor.authorPÉRON, Victor
hal.structure.identifierGroupe de Recherche en Electromagnétisme [LAPLACE-GRE]
dc.contributor.authorPERRUSSEL, Ronan
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModélisation, contrôle et calcul [MC2]
dc.contributor.authorPOIGNARD, Clair
hal.structure.identifierAmpère [AMPERE]
dc.contributor.authorVOYER, Damien
dc.date.created2011-07-12
dc.date.issued2012-01
dc.identifier.issn0018-9464
dc.description.abstractEnEddy 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.isoen
dc.publisherInstitute of Electrical and Electronics Engineers
dc.subject.eneddy current problem
dc.subject.ensingularity
dc.subject.enasymptotic expansion
dc.title.enEddy currents and corner singularities
dc.typeArticle de revue
dc.identifier.doi10.1109/TMAG.2011.2175378
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalIEEE Transactions on Magnetics
bordeaux.page679-682
bordeaux.volume48
bordeaux.issue2
bordeaux.peerReviewedoui
hal.identifierinria-00614033
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//inria-00614033v1
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