Three-dimensional approximate local DtN boundary conditions for prolate spheroid boundaries

DOI10.1016/j.cam.2009.08.032zbMath1407.76138OpenAlexW2077102212MaRDI QIDQ975654

A.-G. Saint-Guirons, Rabia Djellouli, Hélène Barucq

Publication date: 10 June 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.08.032

zbMATH Keywords

scattering problemsabsorbing boundary conditionsDirichlet-to-Neumann operatorprolate spheroidal coordinates

Mathematics Subject Classification ID

Related Items (12)

DtN and NtD surface radiation conditions for two-dimensional acoustic scattering: formal derivation and numerical validation ⋮ Atmospheric radiation boundary conditions for the Helmholtz equation ⋮ Compact high order schemes with gradient-direction derivatives for absorbing boundary conditions ⋮ Iterative on surface radiation conditions for fast and reliable single and multiple scattering analyses of arbitrarily shaped obstacles ⋮ Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering ⋮ Local absorbing boundary conditions for elliptical shaped boundaries ⋮ Non-conforming Galerkin finite element methods for local absorbing boundary conditions of higher order ⋮ On surface radiation conditions for an ellipse ⋮ Local on-surface radiation condition for multiple scattering of waves from convex obstacles ⋮ Approximate local magnetic-to-electric surface operators for time-harmonic Maxwell's equations ⋮ Performance assessment of a new class of local absorbing boundary conditions for elliptical- and prolate spheroidal-shaped boundaries ⋮ High order surface radiation conditions for time-harmonic waves in exterior domains

Cites Work

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• SCALAR DIFFRACTION BY A PROLATE SPHEROID AT LOW FREQUENCIES
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• Doubly asymptotic approximations for transient motions of submerged structures
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• Unnamed Item

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