Fast and accurate solutions of large-scale scattering problems with parallel multilevel fast multipole algorithm

IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)

Volumn , Issue , 2007, Pages 3436-3439

  Ergül, Özgür ^a   Gürel, Levent ^a  

^a BILKENT UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 37249020740     PISSN: 15223965     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/APS.2007.4396276     Document Type: Conference Paper

References (13)

1. J. 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, no. 10, pp. 1488-1493, Oct. 1997.
2. M. L. Hastriter and W. C. Chew, "Role of numerical noise in ultra large-scale computing," in Proc. IEEE Antennas and Propagation Soc. Int. Symp., vol. 3, 2004, pp. 3373-3376.
3. S. M. Rao, D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propagat., vol. AP-30, no. 3, pp. 409-418, May 1982.
4. Ö. Ergül and L. Gürel, "Improving the accuracy of the magnetic field integral equation with the linear-linear basis functions," Radio Sci., vol. 41, RS4004, doi:10.1029/2005RS003307, 2006.
5. R. D. Graglia, "On the numerical integration of the linear shape functions times the 3-D Green's function or its gradient on a plane triangle," IEEE Trans. Antennas Propagat., vol. 41, no. 10, pp. 1448-1455, Oct. 1993.
6. P. Y.-Oijala and M. Taskinen, "Calculation of CFIE impedance matrix elements with RWG and n̂×RWG functions," IEEE Trans. Antennas Propagat., vol. 51, no. 8, pp. 1837-1846, Aug. 2003.
7. L. Gürel and Ö. Ergül, "Singularity of the magnetic-field integral equation and its extraction," IEEE Antennas Wireless Propagat. Lett., vol. 4, pp. 229-232, 2005.
8. L. Gürel and Ö. Ergül, "Investigations of load balancing, communications, and scalability in parallel MLFMA," 2006 IEEE AP-S International Symposium and USNC/URSI National Radio Science Meeting and AMEREM Meeting, Albuquerque, New Mexico, USA, July 2006.
9. S. Velamparambil, W. C. Chew, and J. Song, "10 million unknowns: Is that big?," IEEE Ant. Propag. Mag., vol. 45, no. 2, pp. 43-58, Apr. 2003.
10. Ö. Ergül and L. Gürel, "Optimal interpolation of translation operator in multilevel fast multipole algorithm," IEEE Trans. Antennas Propagat., vol. 54, no. 12, pp. 3822-3826, Dec. 2006.
11. 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.
12. S. Velamparambil ve W. C. Chew, "Analysis and performance of a distributed memory multilevel fast multipole algorithm," IEEE Trans. Antennas Propag., vol. 53, pp. 2719-2727, Aug. 2005.
13. Ö. Ergül and L. Gürel, "Efficient parallelization of multilevel fast multipole algorithm," in Proc. European Conference on Antennas and Propagation (EuCAP), 350094, 2006.