Asymptotic Models and Impedance Conditions for Highly Conductive Sheets in the Time-Harmonic Eddy Current Model

DOI10.1137/17M1152498zbMath1479.35846WikidataQ126663824 ScholiaQ126663824MaRDI QIDQ4973630

Victor Péron

Publication date: 28 November 2019

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionseddy current problemthin conducting sheetsimpedance transmission conditions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) PDEs with low regular coefficients and/or low regular data (35R05) Asymptotic expansions of solutions to PDEs (35C20) Electro- and magnetostatics (78A30)

Related Items (4)

Ventcel-type transmission conditions for the scattering of a time-harmonic wave problem with accuracy up to order 3 ⋮ Efficient asymptotic models for axisymmetric eddy current problems in linear ferromagnetic materials ⋮ On a magnetic skin effect in eddy current problems: the magnetic potential in magnetically soft materials ⋮ Equivalent multipolar point-source modeling of small spheres for fast and accurate electromagnetic wave scattering computations

Cites Work

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• Finite Element Methods for Navier-Stokes Equations
• Vector potentials in three-dimensional non-smooth domains
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• Weak and strong formulations for the time-harmonic eddy-current problem in general multi-connected domains
• A Justification of Eddy Currents Model for the Maxwell Equations
• Symmetric Coupling for Eddy Current Problems
• A Unified Analysis of Transmission Conditions for Thin Conducting Sheets in the Time-Harmonic Eddy Current Model
• Acoustic and electromagnetic equations. Integral representations for harmonic problems

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