Fast spectral domain algorithm for hybrid finite element/boundary integral modelling of doubly periodic structures

IEE Proceedings: Microwaves, Antennas and Propagation

Volumn 147, Issue 5, 2000, Pages 329-334

  Eibert, T F ^a   Volakis, J L ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY ELEMENT METHOD; FINITE ELEMENT METHOD; GREEN'S FUNCTION; INTEGRAL EQUATIONS; ITERATIVE METHODS; MATHEMATICAL MODELS; TIME VARYING SYSTEMS;

ADAPTIVE INTEGRAL METHODS (AIM); SPECTRAL DOMAIN ALGORITHMS;

ANTENNAS;

EID: 0034299946     PISSN: 13502417     EISSN: None     Source Type: Journal    
DOI: 10.1049/ip-map:20000706     Document Type: Article

References (20)

1. McGRATH, D.T., and PYATI, V.P.: 'Phased array antenna analysis with the hybrid finite element method', IEEE Trails. Antennas Propag., 1994, 42, (12), pp. 1625-1630
2. LUCAS, E.W., and FONTANA, T.W.: 'A 3-D hybrid finite element/ boundary1 element method for the unified radiation and scattering analysis of general infinite periodic arrays', IEEE Traits. Anteiuias Propag., 1995, 43, (2), pp. 145-153
3. McGRATH, D.T., and PYATI, V.P.: 'Periodic structure analysis using a hybrid finite element method', Radio Sci., 1996, 31, (5), pp. 1173-1179
4. D"ANGELD, J., and MAYERGOYZ, I.: 'Phased array antenna analysis' i ITOH, T...PELOSI, G., and SILVESTER, P.P. (Eds.): 'Finite element software for microwave engineering' (John Wiley & Sons, Inc., 1996)
5. EIBERT.T.F., VOLAKIS, J.L., WILTON, D.R., and JACKSON, D.R.: 'Hybrid FE/BI modeling of 3-D doubly periodic structures utilizing triangular prismatic elements and a MPIE formulation accelerated by the Ewald transformation', IEEE Traits. Antennas Propag., 1999,47, (5), pp. 843-850
6. ENGHETA, N., MURPHY, W.D., ROHKLIN, V., and VASSILIOU, M.S.: 'The fast multipole method (FMM) for electromagnetic scattering problems', IEEE Trans. Antennas Propag., 1992, 40, (6), pp. 634-641
7. COIFMAN, R., ROHKLIN, V., and WANDZURA, S.: 'The fast multipole method for the wave equation: a pedestrian prescription', IEEE Antennas Propag. Mug., 1993, 35, pp. 7-12
8. LU, N., and JIN, J.-M.: 'Application of the fast multipole method to finite-element boundary-integral solution of scattering problems', IEEE Trans. Antennas Propag., 1996,44, (6), pp. 781-786
9. BINDIGANAVALE, S.S., and VOLAKIS, J.L.: 'Comparison of three FMM techniques for solving hybrid FE-BI systems', IEEE Antennas Propag. Mag., 1997, 39, (4), pp. 47-60
10. SONG, J.M., LU, C.C., and CHEW, W.C.: 'Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects', IEEE Trans. Antennas Propag., 1997, 45, (10), pp. 1488-1493
11. BLESZYNSKI, E., BLESZYNSKI, M., and JAROSZEWICZ, T.: 'AIM: adaptive integral method compression algorithm for solving large-scale electromagnetic scattering and radiation problems', Radio Sci., 1996, 31, (5), ppT 1225-1251
12. ANASTASSIU, H.T., SMELYANSKIY, M., BINDIGANAVALE, S., and VOLAKIS, J.L.: 'Scattering from relatively fiat surfaces using the adaptive integral method', Radio Sci., 1998,33, (1), pp. 7-16
13. EIBERT.T.F., and VOLAKIS, J.L.: 'Adaptive integral method for hybrid FE/BI modelling of 3-D doubly periodic structures', IEE Proc. Micron: Antennas Propag., 1999, 146, (1), pp. 17-22
14. EIBERT, T.F., and VOLAKIS, J.L.: 'Fast spectral domain algorithm for rapid solution of integral equations', Electron. Lett., 1998, 34, (13), pp. 1297-1299
15. ÖZDEMIR, T., and VOLAKIS, J.L.: Triangular prisms for edgebased vector finite element analysis of conformai antennas', IEEE Traits. Antennas Propag., 1997, 45, (5), pp. 788-797
16. GRAGLIA, R.D., WILTON, D.R., PETERSON, A.F., and GHEORMA, I.-L.: 'Higher order interpolator)' vector bases on prism elements', IEEE Trails. Antennas Propag., 1998, 46, (3), pp. 442-450
17. SAAD, Y.: 'Iterative methods for sparse linear systems' (PWS Pub. Co., Boston, Massachusetts, 1996)
18. EWALD, P.P.: 'Die Berechnung optischer und elektrostatischer Gitterpotentiale', Ann. Pliys., 1921, 64, pp. 253-287
19. JORDAN, K.E., RICHTER, G.R., and SHENG, P.: 'An efficient numerical evaluation of the Green's function for the Helmholtz operator on periodic structures', J. Comp. Pliys., 1986, 63, pp. 222-235
20. MITTRA, R., CHAN, C.H., and CWIK, T.: Techniques for analyzing frequency selective surfaces -a review', Proc. IEEE, 1988, 76, (12), pp. 1593-1615