Matching of asymptotic expansions for waves propagation in media with thin slots II: The error estimates

DOI10.1051/m2an:2008004zbMath1132.35348OpenAlexW2096747930MaRDI QIDQ5458111

Sébastien Tordeux, Patrick Joly

Publication date: 11 April 2008

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/194404

zbMATH Keywords

wave equationHelmholtz equationapproximate modelslitmatching of asymptotic expansionsslot

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50) Asymptotic expansions of solutions to ordinary differential equations (34E05)

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Cites Work

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• Matching and multiscale expansions for a model singular perturbation problem
• Eighty years of Sommerfeld's radiation condition
• A mathematical analysis of the resonance of the finite thin slots
• Asymptotic analysis of an approximate model for time harmonic waves in media with thin slots
• Matching of Asymptotic Expansions for Wave Propagation in Media with Thin Slots I: The Asymptotic Expansion
• Scattering frequencies of resonators
• The flanged waveguide antenna: discrete reciprocity and conservation.

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