A fast collocation method for acoustic scattering in shallow oceans

DOI10.1016/j.jmaa.2008.06.023zbMath1155.35075OpenAlexW2053714960MaRDI QIDQ944357

Wei Lin, Ming-Bao Sun, Song-Hua Li

Publication date: 16 September 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.06.023

zbMATH Keywords

collocation methodintegral equationacoustic scatteringHelmholtz equationshallow oceanstrigonometric wavelets

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Hydro- and aero-acoustics (76Q05)

Related Items (3)

A multiscale Galerkin method for the hypersingular integral equation reduced by the harmonic equation ⋮ High-frequency asymptotics for the modified Helmholtz equation in a quarter-plane ⋮ A compression technique for the boundary integral equation reduced from Helmholtz equation

Cites Work

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• Ten Lectures on Wavelets
• Wave propagation in a 2-D external domain bounded by closed and open curves
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• Wave propagation in a 2-D external domain with cuts
• Linear integral equations
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