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Journal Articles IEEE Transactions on Magnetics Year : 2012

Eddy currents and corner singularities


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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Dates and versions

inria-00614033 , version 1 (08-08-2011)
inria-00614033 , version 2 (04-11-2011)



François Buret, Monique Dauge, Patrick Dular, Laurent Krähenbühl, Victor Péron, et al.. Eddy currents and corner singularities. IEEE Transactions on Magnetics, 2012, 48 (2), pp.679-682. ⟨10.1109/TMAG.2011.2175378⟩. ⟨inria-00614033v2⟩
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