Diffraction from simple shapes by a hybrid asymptotic-finite element method

Journal of the Acoustical Society of America

Volumn 104, Issue 4, 1998, Pages 1964-1972

  Montgomery, Joshua M ^a,b   Barbone, Paul E ^b  

^a BOEING COMPANY   (United States)

^b BOSTON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AMPLITUDE MODULATION; ANALYTICAL ERROR; ARTICLE; CALCULATION; DIFFRACTION; FINITE ELEMENT ANALYSIS; GEOMETRY; PRIORITY JOURNAL; PRISM; THEORY;

EID: 0031662797     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.423616     Document Type: Article

References (31)

1. M. Van Dyke, Perturbation Methods in Fluid Mechanics (Parabolic, Stanford, 1975).
2. J. B. Keller, "A Geometrical Theory of Diffraction," in Selected Papers on Geometrical Aspects of Scattering, edited by P. L. Marston, SPIE Milestone Series, (MS 89):5-25 (SPIE Optical Engineering, Bellingham, WA, 1994); reprinted from Calculus of Variations and its Applications, Proc. of Symposia in Applied Mathematics, Vol. 8, pp. 27-51 (American Mathematical Society, New York, 1958).
3. J. B. Keller, "A Geometrical Theory of Diffraction," in Selected Papers on Geometrical Aspects of Scattering, edited by P. L. Marston, SPIE Milestone Series, (MS 89):5-25 (SPIE Optical Engineering, Bellingham, WA, 1994); reprinted from Calculus of Variations and its Applications, Proc. of Symposia in Applied Mathematics, Vol. 8, pp. 27-51 (American Mathematical Society, New York, 1958).
4. W. D. Burnside, C. L. Yu, and R. J. Marhefka, "A technique to combine the geometrical theory of diffraction and the moment method," IEEE Trans. Antennas Propag. AP-23, 551-558 (1975).
5. J. N. Sahalos and G. N. Thiele, "On the application of the gtd-mm technique and its limitations," IEEE Trans. Antennas Propag. AP-29(5), 780-786 (1981).
6. T. J. Kim and G. N. Thiele, "A hybrid diffraction technique-general theory and applications," IEEE Trans. Antennas Propag. AP-30(5), 888-897 (1982).
7. L. N. Medgyesi-Mitschang and D. S. Wang, "Hybrid methods for analysis of complex scatterers," Proc. IEEE 77(5), 770-779 (1989).
8. D. S. Wang, "Current-based hybrid analysis for surface-wave effects on large scatterers," IEEE Trans. Antennas Propag. 39(6), 839-850 (1991).
9. Z. El Hachemi, P. H. Gatignol, and M. Bentahar, "On an hybrid technique for combining the uniform theory of diffraction with finite boundary elements," in International Conference on Computational Acoustics and Its Environmental Applications, edited by C. A. Brebbia, J. Kenny, and R. D. Ciskowski (Comp. Mechanics Publications, Ashurst, 1997), pp. 49-56.
10. R. J. Astley, G. J. Macaulay, and J.-P. Coyette, "Mapped wave envelope elements for acoustical radiation and scattering," J. Sound Vib. 170, 97-118 (1994).
11. D. S. Burnett, "A three-dimensional acoustic infinite element based on a prolate spheroidal multipole expansion," J. Acoust. Soc. Am. 96, 2798-2816 (1994).
12. A. Bayliss and E. Turkel, "Radiation boundary conditions for wave-like equations," Commun. Pure Appl. Math. 33, 707-725 (1980).
13. A. Khebir, A. Kouki, and R. Mittra, "Higher order asymptotic boundary condition for the finite element modeling of two-dimensional transmission line structures," IEEE Trans. Microwave Theory Tech. 38, 1433-1437 (1990).
14. D. Givoli, I. Patlashenko, and J. B. Keller, "High-order boundary conditions and finite elements for infinite domains," Comput. Methods Appl. Mech. Eng. 143, 13-39 (1997).
15. M. J. McDougall and J. P. Webb, "Infinite elements for the analysis of open dielectric waveguides," IEEE Trans. Microwave Theory Tech. 37, 1724-1731 (1989).
16. P. Bettess, "Infinite elements," Int. J. Numer. Methods Eng. 11, 53-64 (1977).
17. O. C. Zienkiewicz, K. Bando, P. Bettess, C. Emson, and T. C. Chiam, "Mapped infinite elements for exterior wave problems," Int. J. Numer. Methods Eng. 21, 1229-1251 (1985).
18. O. C. Zienkiewicz, C. Emson, and P. Bettess, "A novel boundary infinite element," Int. J. Numer. Methods Eng. 19, 393-404 (1983).
19. I. Harari, P. E. Barbone, M. Slavutin, and R. Shalom, "Boundary infinite elements for the Helmholtz equation in exterior domains," Int. J. Numer. Methods Eng. 41, 1105-1131 (1998).
20. I. Harari, R. Shalom, and P. E. Barbone, "Higher-order boundary infinite elements," Comput. Methods Appl. Mech. Eng. (in press, 1997).
21. P. E. Barbone and O. Michael, "Scattering from submerged objects by a hybrid asymptotic-boundary integral equation method," Wave Motion (in press, 1998).
22. D. Givoli, Numerical Methods for Problems in Infinite Domains (Elsevier, Amsterdam, 1992).
23. E. Zauderer, Partial Differential Equations of Applied Mathematics (Academie, New York, 1989), 2nd ed.
24. D. S. Jones, Acoustic and Electromagnetic Waves (Clarendon, Oxford, 1986).
25. A. D. Pierce, Acoustics: An Introduction to its Physical Principles and Applications (Acoustical Society of America, New York, 1989).
26. L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves (IEEE, New York, 1994).
27. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972).
28. J. M. Montgomery, "Acoustic Scattering Calculations by a Hybrid Asymptotic-Numerical Method," M.Sc. Thesis, Dept. of Aerospace and Mechanical Engineering, Boston University, Boston, MA. 1997.
29. I. Harari, P. E. Barbone, and J. M. Montgomery, "Finite Element Formulations for Exterior Problems: Application to Hybrid Methods, Non-reflecting Boundary Conditions, and Infinite Elements," Int. J. Numer. Methods Eng. 40, 2791-2805 (1997).
30. Th. J. R. Hughes, The Finite Element Method (Prentice-Hall, Englewood Cliffs, NJ, 1987).
31. D. Givoli, Revisions of the FEM code DLEARN found in Ref. 28 to accommodate Helmholtz elements.