Generalized impedance boundary condition at high frequency for a domain with thin layer: the circular case

DOI10.1080/00036810701714172zbMath1143.35094OpenAlexW2093798725MaRDI QIDQ3502173

Clair Poignard

Publication date: 22 May 2008

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810701714172

zbMATH Keywords

asymptoticsFourier analysisHelmholtz equationthin layergeneralized impedance boundary conditions

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Pseudodifferential and Fourier integral operators on manifolds (58J40)

Related Items (2)

Shape sensitivity analysis for elastic structures with generalized impedance boundary conditions of the Wentzell type -- application to compliance minimization ⋮ Approximate transmission conditions through a weakly oscillating thin layer

Cites Work

• Estimates for the Poisson kernel and Hardy spaces on compact manifolds
• Diffraction in the high frequency regime by a thin layer of dielectric material I: The equivalent impedance boundary condition
• Asymptotically precise norm estimates of scattering from a small circular inhomogeneity
• Asymptotic formulas for steady state voltage potentials in the presence of conductivity imperfections of small area

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