Impedance transmission conditions for eddy current problems

Victor Péron 1, 2
2 Magique 3D - Advanced 3D Numerical Modeling in Geophysics
LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau], Inria Bordeaux - Sud-Ouest
Abstract : 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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Victor Péron. Impedance transmission conditions for eddy current problems. 2017. ⟨hal-01505612v1⟩

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