The Computation of Conical Diffraction Coefficients in High-Frequency Acoustic Wave Scattering

DOI10.1137/040603358zbMath1104.65115OpenAlexW2071135316MaRDI QIDQ5700314

B. D. Bonner, Valery P. Smyshlyaev, Ivan G. Graham

Publication date: 28 October 2005

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/240145556dd3716ceacd25a39565c4ecc71c7e55

zbMATH Keywords

convergencenumerical resultsboundary integral methodcollocationhigh-frequency asymptoticsquadrature methodsmesh gradingconical pointsdiffraction coefficientsacoustic wave scatteringLaplace-Beltrami-Helmholtz equationslateral edges

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Scattering theory for PDEs (35P25) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (10)

Integral equation methods for the Yukawa-Beltrami equation on the sphere ⋮ Closed form of the generalized Green’s function for the Helmholtz operator on the two-dimensional unit sphere ⋮ A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering ⋮ Laplace-Beltrami equation on hypersurfaces and Γ-convergence ⋮ Electromagnetic scattering by a plane angular sector. I: Diffraction coefficients of the spherical wave from the vertex ⋮ Fast integral equation methods for the Laplace-Beltrami equation on the sphere ⋮ Acoustic scattering of a plane wave by a circular penetrable cone ⋮ Embedding formulae for scattering by three-dimensional structures ⋮ Scattering of acoustic waves by a sector ⋮ On the diffraction of acoustic waves by a quarter-plane

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