Finite part representations of hypersingular integral equation of acoustic scattering and radiation by open smooth surfaces

DOI10.1007/BF02867435zbMath0862.45004MaRDI QIDQ1126314

Sujit K. Bose

Publication date: 25 May 1997

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

radiationacoustic scatteringHelmholtz equationGreen function methodCauchy principal value integral equationHadamard finite part of a divergent integralhypersingular surface boundary integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Hydro- and aero-acoustics (76Q05) Integral equations with kernels of Cauchy type (45E05) Integral equations with miscellaneous special kernels (45H05)

Related Items (1)

Regularization of hyperfunctions

Cites Work

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• Applications of finite-part integrals to the singular integral equations of crack problems in plane and three-dimensional elasticity
• The numerical evaluation of principal value integrals by finite-part integration
• Hypersingular Boundary Integral Equations: Some Applications in Acoustic and Elastic Wave Scattering
• On the solution of integral equations with strongly singular kernels
• On boundary integral equations for crack problems
• On calculation of sound fields around three dimensional objects by integral equation methods
• Boundary integral solutions of three dimensional acoustic radiation problems
• The application of integral equation methods to the numerical solution of some exterior boundary-value problems

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