Boundary integral equations for magnetic screens in ℝ3

DOI10.1017/S0308210500026299zbMath0595.65123OpenAlexW2038459720MaRDI QIDQ3727317

Ernst Peter Stephan

Publication date: 1986

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500026299

zbMATH Keywords

Wiener-Hopf techniqueboundary integral methodHelmholtz equationNeumann datascattering of electromagnetic wavesGalerkin's procedureelectric screen problemmagnetic screenQuasi-optimal error estimatesstrongly elliptic system of pseudodifferential

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Integral representations of solutions to PDEs (35C15) Diffraction, scattering (78A45) Boundary value problems for PDEs with pseudodifferential operators (35S15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Euler-Poisson-Darboux equations (35Q05)

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Cites Work

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• A boundary element method for an exterior problem for three-dimensional maxwell’s equations
• An augmented galerkin procedure for the boundary integral method applied to two-dimensional screen and crack problems
• Constructive proofs of representation theorems in separable Hilbert space

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