A third-order boundary element method for exterior acoustics with applications to scattering by rigid and elastic shells

Journal of Sound and Vibration

Volumn 222, Issue 5, 1999, Pages 699-722

  Gennaretti, M ^a   Giordani, A ^a   Morino, L ^a  

^a ROMA TRE UNIVERSITY   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012078512     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1998.2127     Document Type: Article

References (23)

1. D. COLTON and R. KRESS 1983 Integral Equation Methods in Scattering Theory. New York: Wiley.
2. H. A. SCHENCK 1968 Journal of Acoustical Society of America 44, 41-58. Improved integral formulation for acoustic radiation problems.
3. D. S. JONES 1974 Quarterly Journal of Mechanics and Applied Mathematics 27, 129-142. Integral equations for the exterior acoustic problem.
4. F. URSELL 1978 Mathematical Proceedings of Cambridge Philosophical Society 84, 545-548. On the exterior problems of acoustics: II.
5. S. AMINI 1993 Computational Mechanics 13, 2-11. Boundary integral solution of the exterior Helmholtz problem.
6. S. AMINI and S. M. KIRKUP 1995 Journal of Computational Physics 118, 208-221. Solution of Helmholtz equation in the exterior domain by elementary boundary integral methods.
7. J. M. GALLMAN, M. K. MYERS and F. FARASSAT 1991 American Institute of Aeronautics and Astronautics Journal 29, 2038-2046. Boundary integral approach to the scattering of nonplanar acoustic waves by rigid bodies.
8. G. C. GAUNAURD 1989 Applied Mechanics Reviews 42, 143-192. Elastic and acoustic resonance wave scattering.
9. S. AMINI and P. J. HARRIS 1990 Computational Methods in Applied Mechanics and Engineering 84, 59-75. A comparison between various boundary integral formulation of the exterior acoustic problem.
10. S. AMINI, P. J. HARRIS and D. T. WILTON 1992 in Lecture Notes in Engineering (C. A. Brebbia and S. A. Orszag, editors) Volume 77. New York/Berlin: Springer. Coupled boundary and finite element methods for the solution of the dynamic fluid-structure interaction.
11. A. J. BURTON and G. F. MILLER 1971 Proceedings of Royal Society of London A323, 201-210. The application of integral equation methods to the numerical solution of some exterior boundary-value problems.
12. W. L. MEYER, W. A. BELL, B. T. ZINN and M. P. STALLYBRASS 1978 Journal of Sound and Vibration 59, 245-262. Boundary integral solutions of three-dimensional acoustic radiation problems.
13. T. TERAI 1980 Journal of Sound and Vibration 69, 71-100. On calculation of sound fields around three-dimensional objects by integral equation methods.
14. C. C. CHIEN, H. RAJIYAH and S. N. ATLURI 1990 Journal of Acoustical Society of America 88, 918-973. An effective method for solving the hypersingular integral equations in 3-D acoustics.
15. L. MORINO, M. GENNARETTI and G. CALCAGNO 1995 Symposium of the International Association for Boundary Element Methods, Hawaii. A third-order BEM for potential aerodynamics.
16. M. GENNARETTI, G. CALCAGNO, A. ZAMBONI and L. MORINO 1998 The Aeronautical Journal 102, 211-219. A high-order boundary element formulation for potential incompressible aerodynamics.
17. R. KRESS 1985 Quarterly Journal of Mechanics and Applied Mathematics 38, 323-341. Minimising the condition number of boundary integral operators in acoustic and electromagnetic scattering.
18. F. J. RIZZO and D. J. SHIPPY 1977 International Journal for Numerical Methods in Engineering 11, 1753-1768. An advanced boundary integral equation method for three dimensional thermoelasticity.
19. P. M. MORSE and K. U. INGARD 1968 Theoretical Acoustics, New York: McGraw-Hill.
20. M. C. JUNGER 1951 Journal of Acoustical Society of America 24, 366-373. Sound scattering by thin elastic shells.
21. W. E. BAKER 1961 Journal of Acoustical Society of America 33, 1749-1758. Axisymmetric modes of vibration of thin spherical shell.
22. R. G. CAMPBELL 1973 Foundations of Fluid Flow Theory, Reading, MA: Addison-Wesley.
23. G. K. BATCHELOR 1967 An Introduction to Fluid Dynamics, Cambridge, England: Cambridge University Press.