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Pré-Publication, Document De Travail Année : 2017

Impedance transmission conditions for eddy current problems

Résumé

We present impedance conditions up to the second order of approximation for the time-harmonic eddy current problem with a thin conducting sheet. The conditions are derived asymptotically for vanishing sheet thickness ε where the skin depth is scaled like ε. The first order condition is the perfect electric conductor boundary condition. The second order condition turns out to be a generalized Poincaré-Steklov map between tangential components of the magnetic field and the electric field.
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Dates et versions

hal-01505612 , version 1 (11-04-2017)
hal-01505612 , version 2 (04-03-2018)

Identifiants

  • HAL Id : hal-01505612 , version 1

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Victor Péron. Impedance transmission conditions for eddy current problems. 2017. ⟨hal-01505612v1⟩
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