Multiple scattering and modified Green's functions

DOI10.1016/S0022-247X(02)00318-9zbMath1013.35058MaRDI QIDQ1856939

Paul A. Martin

Publication date: 11 February 2003

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

zbMATH Keywords

boundary integral equationHelmholtz equationNeumann problemmodified fundamental solution

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items (3)

On connections between boundary integral equations and \(T\)-matrix methods. ⋮ Methods of reflections: relations with Schwarz methods and classical stationary iterations, scalability and preconditioning. ⋮ Eliminating the fictitious frequency problem in BEM solutions of the external Helmholtz equation

Cites Work

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• THE SCATTERING OF A PLANE WAVE BY A ROW OF SMALL CYLINDERS
• Operators of minimal norm via modified Green's functions
• INTEGRAL-EQUATION METHODS FOR MULTIPLE-SCATTERING PROBLEMS I. ACOUSTICS
• Multiple scattering and the Rehr-Albers-Fritzsche formula for the propagator matrix
• Multi-obstacle acoustic scattering in the simple source formulation with accuracy checks
• On modified Green functions in exterior problems for the Helmholtz equation
• On the exterior problems of acoustics: II
• INTEGRAL EQUATIONS FOR THE EXTERIOR ACOUSTIC PROBLEM
• Boundary Integral Equations for the Three-Dimensional Helmholtz Equation

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