Asymptotic boundary element methods for thin conducting sheets

DOI10.3934/dcdss.2015.8.619zbMath1302.78027OpenAlexW2316971492MaRDI QIDQ479120

Ralf Hiptmair, Kersten Schmidt

Publication date: 5 December 2014

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2015.8.619

zbMATH Keywords

boundary element methodasymptotic expansionscomputational electromagneticstransmission conditionthin conducting sheets

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Electromagnetic effects in solid mechanics (74F15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Asymptotic expansions of solutions to PDEs (35C20) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Boundary element methods for boundary value problems involving PDEs (65N38) Asymptotic analysis in optics and electromagnetic theory (78M35) Variational methods applied to problems in optics and electromagnetic theory (78M30)

Related Items (4)

Time-dependent electromagnetic scattering from thin layers ⋮ Asymptotic expansion techniques for singularly perturbed boundary integral equations ⋮ Equivalent Transmission Conditions for the Time-Harmonic Maxwell Equations in 3D for a Medium with a Highly Conductive Thin Sheet ⋮ Asymptotic Models and Impedance Conditions for Highly Conductive Sheets in the Time-Harmonic Eddy Current Model

Uses Software

• Concepts

Cites Work

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• GENERALIZED IMPEDANCE BOUNDARY CONDITIONS FOR SCATTERING BY STRONGLY ABSORBING OBSTACLES: THE SCALAR CASE
• Boundary Element Methods
• Finite Elements

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