Optimal interpolation of translation operator in multilevel fast multipole algorithm

IEEE Transactions on Antennas and Propagation

Volumn 54, Issue 12, 2006, Pages 3822-3826

  Ergül, Özgür ^a   Gürel, Levent ^a  

^a BILKENT UNIVERSITY   (Turkey)

Author keywords

Lagrange interpolation; Multilevel fast multipole algorithm; Translation operator

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; OPTIMIZATION;

LAGRANGE INTERPOLATION; MULTILEVEL FAST MULTIPOLE ALGORITHM; TRANSLATION OPERATOR;

INTERPOLATION;

EID: 33847672734     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2006.886562     Document Type: Article

References (7)

1. W. C. Chew, J.-M. Jin, E. Michielssen, and J. Song, Fast and Efficient Algorithms in Computational Electromagnetics. Boston, MA:ARtech House, 2001.
2. C.-C. Lu and W. C. Chew, "Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects," IEEE Trans. Antennas Propag., vol. 45, no. 10, pp. 1488-1493, Oct. 1997.
3. R. Coifman, V. Rokhlin, and S. Wandzura, "The fast multipole method for the wave equation: A pedestrian prescription," IEEE Antennas Propag. Mag., vol. 35, no. 3, pp. 7-12, Jun. 1993.
4. J. Song and W. C. Chew, "Interpolation of translation matrix in MLFMA," Microwave Opt. Technol. Lett., vol. 30, no. 2, pp. 109-114, Jul. 2001.
5. S. Koc, J. M. Song, and W. C. Chew, "Error analysis for the numerical evaluation of the diagonal forms of the scalar spherical addition theorem," SIAM J. Numer. Anal., vol. 36, no.3, pp. 906-921, 1999.
6. M. L. Hastriter, S. Ohnuki, and W. C. Chew, "Error control of the translation operator in 3D MLFMA," Microwave Opt. Technol. Lett., vol. 37, no. 3, pp. 184-188, May 2003.
7. S. Velamparambil, W. C. Chew, and J. Song, "10 million unknowns: Is that big?," IEEE Antennas Propag. Mag., vol. 45, no. 2, pp. 43-58, Apr. 2003.