On the singularity of the axially symmetric Helmholtz Green's function, with application to BEM

DOI10.1016/0307-904X(95)00080-4zbMath0846.65068MaRDI QIDQ1909462

Trevor W. Dawson

Publication date: 4 September 1996

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

boundary element methodhypergeometric functionsfundamental solutionsingularityaxially symmetric Helmholtz equationelliptic integral forms

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Cites Work

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• Fundamental solutions of the axisymmetric Helmholtz-type equations
• On integral representations for the axially symmetric Helmholtz Green's function
• On the fundamental solutions of the axisymmetric Helmholtz-type equations
• Acoustic Wave Scattering from Axisymmetric Bodies
• Quadrature of Integrands with a Logarithmic Singularity

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