Equivalent Transmission Conditions for the Time-Harmonic Maxwell Equations in 3D for a Medium with a Highly Conductive Thin Sheet

DOI10.1137/15M1012116zbMath1373.35299OpenAlexW2394896890MaRDI QIDQ2810048

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Publication date: 31 May 2016

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

Full work available at URL: https://doi.org/10.1137/15m1012116

zbMATH Keywords

asymptotic expansionstime-harmonic Maxwell's equationsthin conducting sheetsmultiscale expansionsimpedance transmission conditions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Asymptotic expansions of solutions to PDEs (35C20) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Maxwell equations (35Q61)

Related Items (7)

On the Schwarz method for the eddy currents model ⋮ Ventcel-type transmission conditions for a Poisson problem at high-low diffusion ⋮ Approximate impedance for time-harmonic Maxwell's equations in a non planar domain with contrasted multi-thin layers ⋮ Ventcel-type transmission conditions for the scattering of a time-harmonic wave problem with accuracy up to order 3 ⋮ Asymptotic models for the electric potential across a highly conductive casing ⋮ Asymptotic Models and Impedance Conditions for Highly Conductive Sheets in the Time-Harmonic Eddy Current Model ⋮ Floating potential boundary condition in smooth domains in an electroporation context

Cites Work

• Unnamed Item
• Asymptotic boundary element methods for thin conducting sheets
• Asymptotic modelling of conductive thin sheets
• On the influence of the geometry on skin effect in electromagnetism
• Uniform estimates for transmission problems with high contrast in heat conduction and electromagnetism
• Time-harmonic Maxwell equations in biological cells-the differential form formalism to treat the thin layer
• High order transmission conditions for thin conductive sheets in magneto-quasistatics
• ON THE WELL-POSEDNESS, STABILITY AND ACCURACY OF AN ASYMPTOTIC MODEL FOR THIN PERIODIC INTERFACES IN ELECTROMAGNETIC SCATTERING PROBLEMS
• Axisymmetric eddy current inspection of highly conducting thin layers via asymptotic models
• A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
• Symmetric Coupling for Eddy Current Problems
• Finite Element Methods for Maxwell's Equations
• A Unified Analysis of Transmission Conditions for Thin Conducting Sheets in the Time-Harmonic Eddy Current Model
• Finite Elements
• Acoustic and electromagnetic equations. Integral representations for harmonic problems

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