Some numerical techniques and their use in the extension of T-matrix and null-field approaches to scattering

DOI10.1016/0898-1221(85)90167-1zbMath0581.76087OpenAlexW2022656650MaRDI QIDQ1067927

Stanley A. Chin-Bing, Michael F. Werby

Publication date: 1985

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(85)90167-1

zbMATH Keywords

ill-conditioned matricesT-matrix methodAcoustic, electromagnetic and elastic scatteringbounded surfacesHigh- frequency calculationslimitations on the T-matrixnull-field methods

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Hydro- and aero-acoustics (76Q05) Basic methods in fluid mechanics (76M99)

Cites Work

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• An extended unitary approach for acoustical scattering from elastic shells immersed in a fluid
• Scattering of stationary acoustic waves by an elastic obstacle immersed in a fluid
• Scattering of acoustic waves by layered elastic and viscoelastic obstacles in water
• Convergence of the T-matrix approach to scattering theory
• Matrix formulation of acoustic scattering from multilayered scatterers
• Matrix theory of elastic wave scattering
• Huygens’ principle, radiation conditions, and integral formulas for the scattering of elastic waves
• Scattering by periodic surfaces
• ON THE NULL-FIELD EQUATIONS FOR THE EXTERIOR PROBLEMS OF ACOUSTICS
• Advances in Orthonormalizing Computation
• Convergence of iterative solutions to integral equations for sound radiation
• New Formulation of Acoustic Scattering
• Boundary Integral Equations for the Three-Dimensional Helmholtz Equation

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