Scattering by a hybrid asymptotic/finite element method

Computer Methods in Applied Mechanics and Engineering

Volumn 164, Issue 1-2, 1998, Pages 141-156

  Barbone, Paul E ^a   Montgomery, Joshua M ^a,c   Michael, Ofer ^a   Harari, Isaac ^b  

^a BOSTON UNIVERSITY   (United States)

^b TEL AVIV UNIVERSITY   (Israel)

^c BOEING COMPANY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE SCATTERING; ASYMPTOTIC STABILITY; FINITE ELEMENT METHOD; INTERPOLATION; VARIATIONAL TECHNIQUES;

HELMHOLTZ EQUATION;

WAVE EQUATIONS;

EID: 0032475722     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00051-6     Document Type: Article

References (32)

1. [1] J.M. Montgomery and P.E. Barbone, Diffraction from simple shapes by a hybrid asymptotic-finite element method, J. Acoust. Soc. Am. (1997), under consideration.
2. [2] P.E. Barbone, Approximate diffraction coefficients by the method of matched asymptotic expansions. Wave Motion, 22 (1995) 1-16.
3. [3] P.E. Barbone and O. Michael, Scattering from submerged objects by a hybrid asymptotic-boundary integral equation method. BU Dept. of Aerospace and Mechanical Engineering Report No. AM-97-029, October 1997.
4. [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.Ant.and Prop., AP-23 (1975) 551-558.
5. [5] M. Calamia, R. Coccioli, G. Pelosi and G. Manara, A hybrid FEM/UTD analysis of the scattering from a cavity-backed aperture in a face of a perfectly conducting wedge. COMPEL, Int. J. Comput. Math. Electr. Electron. Engrg. 13(A) (1994) 229-235.
6. [6] P.C. Clemmow, The Plane Wave Spectrum Representation of Electromagnetic Fields. (Pergamon, 1966.)
7. [7] S. Cui and D. Fang. A hybrid method for scattering by finite periodic structures, Chinese J. Electron. 6(2) (1997) 90-93.
8. [8] M. Van Dyke, Perturbation Methods in Fluid Mechanics (Parabolic Press, Stanford, annotated edition, 1975).
9. [9] D. Givoli and J.B. Keller. A finite element method for large domains, Comput. Methods Appl. Mech. Engrg. 76 (1989) 41-66.
10. [10] A.D. Greenwood, S.S. Ni, J.M. Jin and S.W. Lee, Hybrid fem/sbr method to compute the radiation pattern from a microstrip patch antenna in a complex geometry. Proc. 1996 Antenna Applications Symposium, vi:1-6, 1996.
11. [11] I. Harari and T.J.R. Hughes, A cost comparison of boundary element and finite element methods for problems of time-harmonic acoustics, Comput. Methods Appl. Mech. Engrg. 97 (1992) 77-102.
12. [12] 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. Num. Methods Engrg. 40 (1997) 2791-2805.
13. [13] I. Harari, P.E. Barbone, M. Slavutin and R. Shalom. Boundary infinite elements for the Helmholtz equation in exterior domains. Int. J. Num. Meth. Engrg. (1997) accepted.
14. [14] T.J.R. Hughes. The Finite Element Method (Prentice Hall, Englewood Cliffs NJ, 1987). DLearn appears in appendix. Helmholtz element as used was added by D. Givoli.
15. [15] J.M. Jin, S. Ni and S.W. Lee, Robust hybrid technique for calculating scattering by large and complex targets, Electron. Lett. 30(25) (1994) 2169-2170.
16. [16] D.S. Jones, Acoustic and Electromagnetic Waves (Oxford University Press, New York, 1986).
17. [17] J.B. Keller, Geometrical theory of diffraction. J. Opt. Soc. Am. 52(2) (1962) 160-130.
18. [18] T.J. Kim and G.N. Thiele, A hybrid diffraction technique-general theory and applications, IEEE Trans. Ant. Prop. AP-30(5) (1982) 888-897.
19. [19] R.G. Kouyoumjian and P.H. Pathak, A uniform geometrical theory of diffraction for an edge in a perfectly conducting surface. Proc. IEEE 62 (1974) 1448-1461.
20. [20] P.M. Marston, Selected papers on Geometrical Aspects of Scattering (SPIE Optical Engineering Press, Bellingham WA, 1994).
21. [21] L.N. Medgyesi-Mitschang and D.S. Wang. Hybrid methods for analysis of complex scatterers, Proc. IEEE 77(5) (1989) 770-779.
22. [22] O. Michael and P.E. Barbone. FEM, BEM, spectral FEM or spectral BEM? A cost comparison, BU Dept. of Aerospace and Mechanical Engineering Report No. AM-97-028, August 1997.
23. [23] J.M. Montgomery, Acoustic scattering calculations by a hybrid asymptotic numerical method, M.Sc. Thesis, Department of Aerospace and Mechanical Engineering, Boston University, 1996.
24. [24] G. Pelosi, A. Freni and R. Coccioli, Hybrid technique for analysing scattering from periodic structures. IEE Proc. H 140(2) (1993) 65-70.
25. [25] A.D. Pierce, Acoustics: An Introduction to its Physical Principles and Applications. (Acoustical Society of America, New York, 1989).
26. [26] A.D. Pierce, Variational formulations in acoustic radiation and scattering. Phys. Acoustics XXII (1993) 195-371.
27. [27] D.C. Ross, J.L. Volakis and H.T. Anastassiu, Hybrid finite element-modal analysis of jet engine inlet scattering. Conference Proceedings. 10th Annual Review of Progress in Applied Computational Electromagnetics, xv: (1994) 300-307.
28. [28] B. Roturier, B. Souny and H. Baudrand. Calculation of diffracted fields by hybrid finite-element/geometrical-theory-of-diffraction method, JINA 94. Journees Internationales de Nice sur les Antennes Conferences (Proceedings of the International Symposium on Antennas), ix (1994) 237-240.
29. [29] J.N. Sahalos and G.N. Thiele, On the application of the GTD-MM technique and its limitations, IEEE Trans. Ant. Prop. AP-29(5) (1981) 780-786.
30. [30] X.Q. Sheng and J.M. Jin, A hybrid FEM/SBR method to compute scattering by large bodies with small protruding scatterers, Microwave and Optical Technology Letters, 15(2) (1997) 78-84.
31. [31] D.S. Wang, Current-based hybrid analysis for surface-wave effects on large scatterers, IEEE Trans. Ant. Prop. 39(6) (1991) 839-850.
32. [32] E. Zauderer, Partial Differential Equations of Applied Mathematics, 2nd edition (Academic Press, New York, 1989).