Geometry based preconditioner for radiation problems involving wire and surface basis functions

Progress in Electromagnetics Research

Volumn 93, Issue , 2009, Pages 29-40

  Araujo M G ^a   Bertolo J M ^a   Obelleiro, F ^a   Rodriguez J L ^a   Taboada, J M ^b   Landesa, L ^b  

^a UNIVERSITY OF VIGO   (Spain)

^b UNIVERSITY OF EXTREMADURA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROMAGNETIC WAVES; FUNCTIONS; MATRIX ALGEBRA;

BASIS FUNCTIONS; COMPUTATIONAL COSTS; ELECTROMAGNETIC SOLVERS; ITERATIVE SOLVERS; MATRIX EQUATIONS; NON-UNIFORMITIES; RADIATION PROBLEMS; RENORMALIZATION;

COMPUTATIONAL ELECTROMAGNETICS;

EID: 69849114829     PISSN: 10704698     EISSN: 15598985     Source Type: Journal    
DOI: 10.2528/PIER09042104     Document Type: Article

References (19)

1. Harrington, R. F., Field Computation by Moment Method, IEEE Press, New York, 1993.
2. Rao, S. M., D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propagat., Vol. 30, No. 3, 409-418, 1982.
3. Hwu, S. U., D. R. Wilton, and S. M. Rao, "Electromagnetic scattering and radiation by arbitrary conducting wire/surface configurations," IEEE Int. Antennas and Porpagat. Symp., Vol. 26, 890-893, 1998.
4. Coifman, R., V. Rokhlin, and S. Wanzura, "The fast multipole method for the wave equation: A pedestrian prescription," IEEE Antennas Propagat. Mag., Vol. 35, No. 3, 7-12, 1993.
5. Song, J. M., C. C. Lu, and W. C. Chew, "Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects," IEEE Trans. Antennas Propagat., Vol. 45, 1488-1493, 1997.
6. Pan, X. M. and X. Q. Sheng, "A highly efficient parallel approach of multi-level fast multipole algorithm," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 8, 1081-1092,2006.
7. Wang, P. and Y. J. Xie, "Scattering and radiation problem of surface/surface junction structure with multilevel fast multipole algorithm," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 15, 2189-200, 2006.
8. Fan, Z. H., D. Z. Ding, and R. S. Chen, "The efficient analysis of electromagnetic scattering from composite structures using hybrid CFIE-IEFIE," Progress In Electromagnetics Research B, Vol. 10, 131-143, 2008.
9. Hesford, A. J. and W. C. Chew, "On preconditioning and the eigensystems of electromagnetic radiation problems," IEEE Trans. Antennas Propagat., Vol. 56, No. 8, 2413-2420, 2008.
10. Lee, J., J. Zhang, and C.-C. Lu, "Sparse inverse preconditioning of multilevel fast multipole algorithm for hybrid integral equations in electromagnetics," IEEE Trans. Antennas Propagat., Vol. 52, No. 9, 2277-2287, 2004.
11. Rui, P. L. and R. S. Chen, "An efficient sparse approximate inverse preconditioning for FMM implementation," Microwave and Optical Technology Letters, Vol. 49, No. 7, 1746-1750, 2007.
12. Ding, D. Z., R. S. Chen, and Z. Fan, "An efficient sai preconditioning technique for higher order hierarchical MLFMM implementation," Progress In Electromagnetics Research, PIER 88, 255-273, 2008.
13. Sertel, K. and J. L. Volakis, "Incomplete LU preconditioner for FMM implementation," Microwave and Optical Technology Letters, Vol. 26, No. 7, 265-267, 2000.
14. Heldring, A., J. M. Rius, and L. Ligthart, "New block ILU preconditioner scheme for numerical analysis of very large electromagnetic problems," IEEE Trans. Magn., Vol. 38, No. 2, 337-346, 2002.
15. Benzi, M., "Preconditioning techniques for large linear systems: A survey," J. Comput. Phys., No. 182, 418-477, 2002.
16. Ergül, Ö and L. Gürel, "Efficient solution of the electric-field integral equation using the iterative LSQR algorithm," IEEE Antennas Wireless Propagat. Lett., Vol. 7, 36-39, 2008.
17. Andriulli, F. P., et al., "A multiplicative calderon preconditioner for the electric field integral equation," IEEE Trans. Antennas Propagat., Vol. 56, No. 8, 2398-2412, 2008.
18. Saad, Y., Iterative Methods for Sparse Linear Systems, PWS Publishing Company, a division of International Thomsom Publishing Inc., Boston, MA, 1996.
19. Makarov, S., "MoM antenna simulations with matlab: RWG basis functions," IEEE Antennas Propagat. Mag., Vol. 43, No. 5, 100-107, 2001.