Acoustic scattering and radiation problems, and the null-field method

DOI10.1016/0165-2125(82)90007-5zbMath0495.73029OpenAlexW1981268737MaRDI QIDQ1169849

Paul A. Martin

Publication date: 1982

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(82)90007-5

zbMATH Keywords

two dimensionsacoustic scatteringexterior Neumann problemnull-field methodexterior Dirichlet problemT-matrix methodcompleteness of certain sets of radiating wave-functionsdiscussion of related numerical techniquesinfinite system of null-field equations always has precisely one solutionsolution of original boundary-value problem can always be determined from solution of null-field equationssolvability of certain boundary integral equationssubsidiary resultstwo radiation problemstwo scattering problems

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Wave scattering in solid mechanics (74J20) Scattering theory for PDEs (35P25) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Waves in solid mechanics (74J99) Linear integral equations (45A05)

Related Items

The null field equations for flexural oscillations of elastic plates, Active control of scalar Helmholtz fields in the presence of known impenetrable obstacles, Diffraction of waves by inhomogeneous obstacle, On connections between boundary integral equations and \(T\)-matrix methods., Convergence of the T-matrix approach in scattering theory. II, Scattering of Rayleigh-Lamb waves from a 2d-cavity in an elastic plate

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