Near-field sparse inverse preconditioning of multilevel fast multipole algorithm for electric field integral equations

Asia-Pacific Microwave Conference Proceedings, APMC

Volumn 3, Issue , 2005, Pages

  Zhenyi, Niu ^a   Jinping, Xu ^a  

^a SOUTHEAST UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ELECTRIC FIELD EFFECTS; INVERSE PROBLEMS; ITERATIVE METHODS; LINEAR SYSTEMS; MATRIX ALGEBRA; NUMERICAL METHODS;

FROBENIUS NORM MINIMIZATION METHODS; KRYLOV ITERATIVE METHODS; MULTILEVEL FAST MULTIPOLE ALGORITHMS (MLFMA); NEAR FIELD SPARSE APPROXIMATE INVERSE (SAI) PRECONDITIONING TECHNIQUE;

INTEGRAL EQUATIONS;

EID: 33847154718     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/APMC.2005.1606673     Document Type: Conference Paper

References (13)

1. R. F. Harrington, Field Computation by Moment Method. New York: IEEE Press, 1993.
2. S. M. Rao, D. R. Wilton and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propagat., vol.30, pp. 409-418, Mar. 1982.
3. R. Barrett, M. Berry, T. Chan, J. Demmel, J. Donato, et al., and H. Van der Vorst, Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods. Philadelphia, PA: SIAM, 1994.
4. R. Coifrman, V. Rokhlin and S. Wandzura, "The fast multipole method for the wave equation: a pedestrian prescription," IEEE Antennas Propagat. Mag., vol.35, no. 3, pp. 7-12, 1993.
5. C. C. Lu and W. C. Chew, "A multilevel algorithm for solving boundary integral equations of wave scattering," Microwave Opt. Technol. Lett., vol. 7, pp.466-470, Oct. 1994.
6. J.M. Song, C. C. Lu, and W. C. Chew, "Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects," IEEE Trans. Antennas Propagat., vol. 45, pp. 1488-1493, Oct. 1997.
7. K. Sertel and J. L. Volakis, "Incomplete lu preconditioner for fmm implementation," Microwave Opt. Technol. Lett., vol.26, no.7, pp.265-267, 2000.
8. M. Nilsson, Iterative Solution of Maxwell's Equations in Frequency Domain. IT Licentiate Theses, Uppsala University, Sweden, June 2002.
9. J. Lee, 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, pp. 2277-2287, Sept. 2004.
10. Y. Xie, J. He, A. Sullivan and L. Carin, "A simple preconditioner for electric-field integral equations,"Microwave Opt. Technol. Lett., vol.30, no.1, pp.51-54, July 2001.
11. M. Carr, M. Bleszynski and J. L. Volakis, "A near-field preconditioner and its performance in conjunction with the bicgstab(ell) solver," IEEE Antennas Propagat. Mag., vol. 46, no. 2, pp. 23-30, Apr. 2004.
12. Y. Saad and M. Schultz, "Gmres: a generalized minimal residual algorithm for solving non-symmetric linear systems," SIAM J. Sci. Statist. Comput., vol.7, no.3, pp.856-869, 1986.
13. P. A. Businger and G. H. Golub, "Singular value decomposition of a complex matrix," Communications of the ACM, vol.12, no. 10, pp. 564-565, Oct. 1969.