Analytical and numerical investigation of the performance of the BGT2 condition for low-frequency acoustic scattering problems

DOI10.1016/j.cam.2006.03.033zbMath1203.76136OpenAlexW1994383204MaRDI QIDQ883493

Rabia Djellouli, Robert C. jun. Reinee, Isaac Harari

Publication date: 4 June 2007

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.2006.03.033

zbMATH Keywords

damping effectMathieu functionslocal absorbing boundary conditionson-surface radiating condition

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05)

Cites Work

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• An improved on-surface radiation condition for acoustic scattering problems in the high-frequency spectrum
• Analytical study of the effect of wave number on the performance of local absorbing boundary conditions for acoustic scattering
• Bayliss-Turkel-like radiation conditions on surfaces of arbitrary shape
• Numerical solution of problems on unbounded domains. A review
• A comparison of approximate boundary conditions and infinite element methods for exterior Helmholtz problems
• The performance of local absorbing boundary conditions for acoustic scattering from elliptical shapes
• High-order local non-reflecting boundary conditions: a review
• Local absorbing boundaries of elliptical shape for scalar waves
• FINITE ELEMENT SOLUTION OF TWO-DIMENSIONAL ACOUSTIC SCATTERING PROBLEMS USING ARBITRARILY SHAPED CONVEX ARTIFICIAL BOUNDARIES
• THIRD-ORDER DOUBLY ASYMPTOTIC APPROXIMATIONS FOR COMPUTATIONAL ACOUSTICS
• SCALAR DIFFRACTION BY A PROLATE SPHEROID AT LOW FREQUENCIES
• Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions
• Doubly asymptotic approximations for transient motions of submerged structures
• Three-dimensional finite element calculations in acoustic scattering using arbitrarily shaped convex artificial boundaries
• Theory and computation of spheroidal wavefunctions
• A new formulation of electromagnetic wave scattering using an on-surface radiation boundary condition approach
• Alternative integral equations for the iterative solution of acoustic scattering problems
• Diffraction Theory of Electromagnetic Waves