A hierarchic p-version boundary-element method for axisymmetric acoustic scattering and radiation

Journal of the Acoustical Society of America

Volumn 95, Issue 5, 1994, Pages 2320-2329

  Shirron, Joseph J ^b   Couchman, Luise S ^b  

^a UNIVERSITY COLLEGE CORK   (Ireland)

^b NAVAL RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; ALGORITHM; ARTICLE; CALCULATION; GEOMETRY; LINEAR SYSTEM; PRIORITY JOURNAL; RADIATION SCATTERING; TECHNIQUE;

EID: 0028234937     PISSN: 00014966     EISSN: NA     Source Type: Journal    
DOI: 10.1121/1.409867     Document Type: Article

References (27)

1. D. Givoli, “Non-reflecting boundary conditions,” J. Comp. Phys. 94, 1–29 (1991).
2. A. Bayliss, M. Gunzberger, and E. Turkel, “Boundary conditions for the numerical solution of elliptic problems in exterior regions,” SIAM J. Appl. Math. 42, 430-451 (1982).
3. P. M. Pinsky, L. L. Thompson, and N. N. Abboud, “Local high-order radiation boundary conditions for the two-dimensional time-dependent structural acoustics problem,” J. Acoust. Soc. Am. 91, 1320–1355 (1992).
4. B. Engquist and A. Majda, “Absorbing boundary conditions for the numerical simulation of waves,” Math. Comp. 31, 629–651 (1977).
5. B. Engquist and A. Majda, “Radiation boundary conditions for acoustic and elastic wave calculations,” Commun. Pure Appl. Math. 32, 313–357 (1979).
6. L. Wagatha, “Approximation of pseudodifferential operators in absorbing boundary conditions for hyperbolic equations,” Numer. Math. 42, 51–64 (1983).
7. J. D’Angelo and I. D. Mayergoyz, “Finite element methods for the solution of RF radiation and scattering problems,” Electromagnetics 10, 177–199 (1980).
8. R. L. Higdon, “Numerical absorbing boundary conditions for the wave equation,” Math. Comp. 49, 65–90 (1987).
9. L. N. Trefethen and L. Halpera, “Well-posedness of one-way wave equations and absorbing boundary conditions,” Math. Comp. 47, 421—435 (1986).
10. J. B. Keller and D. Givoli, “Exact non-reflecting boundary conditions,” J. Comp. Phys. 82, 172–192 (1989).
11. I. Harari and T. J. R. Hughes, “Computational methods for problems of acoustics with particular reference to exterior domains,” SUDAM Report No. 91–1, Department of Mechanical Engineering, Stanford University, CA (1991).
12. M. Israeli and S. A. Orszag, “Approximation of radiation boundary conditions,” J. Comp. Phys. 41, 115–135 (1981).
13. S. Kami, “Far-field boundaries and their numerical treatment: an unconventional approach,” in Numerical Methods for Fluid Dynamics III, edited by K. W. Morton and M. J. Baines (Academic, New York, 1982).
14. P. Bettess and J. A. Bettess, “Infinite elements for dynamic problems: Parts 1 and 2,” Eng. Comp. 8, 99–151 (1991).
15. R. J. Astley and W. Eversman, “Finite element formulations for acoustical radiation” J. Sound Vib. 88, 47–64 (1983).
16. D. Colton and R. Kress, Integral Equation Methods in Scattering Theory (Wiley-Interscience, New York, 1983).
17. R. E. Kleinman and G. F. Roach, “Boundary integral equations for the three-dimensional Helmholtz equation,” SIAM Rev. 16, 214–236 (1974).
18. C. C. Chien, H. Rajiyah, and S. N. Atluri, “An effective method for solving the hypersingular integral equations in 3-D acoustics,” J. Acoust. Soc. Am. 88, 918–937 (1990).
19. A. J. Burton and G. F. Miller, “The application of integral equation methods to the solution of some exterior boundary-value problems,” Proc. R. Soc. London Ser. A 323, 201–210 (1971).
20. A.J. Burton, “Numerical solution of acoustic radiation problems,” NPL Contract Report OC5/535, National Physical Laboratory, Teddington, Middlesex, UK (1976).
21. O.I. Panich, “On the question of the solvability of the exterior boundary value problem for the wave equation and Maxwell’s equation,” (in Russian) Usp. Mat. Nauk. 20, 221–226 (1965).
22. H. Brakhage and P. Werner, “Uber das Dirichletsche Aussenraum-problem fur die Helmholtzsche Schwingungsgleichung,” Arch. Math. (Basel) 16, 325–329 (1965).
23. E. Alaracon and A. Reverter, “p-Adaptive boundary elements,” Int. J. Numer. Meth. Eng. 23, 801–829 (1986).
24. E. P. Stephan and M. Suri, “On the convergence of the P-version of the boundary element method,” Math. Comp. 52, 31–48 (1989).
25. F. V. Postell and E. P. Stephan, “On the hp- and hp-versions of the boundary element method: numerical results,” Comp. Math. Appl. Mech: Eng. 83, 69–89 (1990).
26. I. Babuska and M. Suri, “The p- and hp-versions of the finite element method: an overview,” Comp. Meth. Appl. Mech. Eng. 80, 5–26 (1990).
27. I. Babuska and E. Rank, “An expert system-like feedback approach in the A/7-version of the finite element method,” Finite Elements Anal. Des. 3, 127–147 (1987).