Solutions of large-scale electromagnetics problems involving dielectric objects with the parallel multilevel fast multipole algorithm

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 28, Issue 11, 2011, Pages 2261-2268

  Ergül, Özgür ^a  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ELECTROMAGNETISM; MEMORY ARCHITECTURE;

COMBINED FIELD INTEGRAL EQUATIONS; DIELECTRIC OBJECTS; DISTRIBUTED MEMORY; ELECTROMAGNETICS; HIERARCHICAL PARTITIONING; HOMOGENEOUS DIELECTRICS; LARGE-SCALE PROBLEM; MAGNETIC CURRENTS; MULTI-LEVEL FAST MULTI-POLE ALGORITHM; MULTILEVEL FAST MULTIPOLE ALGORITHMS; RAO-WILTON-GLISSON FUNCTIONS;

INTEGRAL EQUATIONS;

ALGORITHM; ARTICLE; ELECTROMAGNETIC FIELD; IMPEDANCE; RADIATION SCATTERING; THEORETICAL MODEL; TIME;

ALGORITHMS; ELECTRIC IMPEDANCE; ELECTROMAGNETIC PHENOMENA; MODELS, THEORETICAL; SCATTERING, RADIATION; TIME FACTORS;

EID: 80155138653     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.28.002261     Document Type: Article

References (25)

1. Ö. Ergül, A. Arslan-Ergül, and L. Gürel, "Computational study of scattering from healthy and diseased red blood cells using surface integral equations and the multilevel fast multipole algorithm," J. Biomed. Opt. 15, 045004 (2010).
2. Ö. Ergül, T. Malas, and L. Gürel, "Analysis of dielectric photoniccrystal problems with MLFMA and Schur-complement preconditioners," J. Lightwave Technol. 29, 888-897 (2011).
3. J. Song, C.-C. Lu, and W. C. Chew, "Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects," IEEE Trans. Antennas Propag. 45, 1488-1493 (1997). (Pubitemid 127770931)
4. X.-Q. Sheng, J.-M. Jin, J. Song, W. C. Chew, and C.-C. Lu, "Solution of combined-field integral equation using multilevel fast multipole algorithm for scattering by homogeneous bodies," IEEE Trans. Antennas Propag. 46, 1718-1726 (1998). (Pubitemid 128748333)
5. W. C. Chew, J.-M. Jin, E. Michielssen, and J. Song, Fast and Efficient Algorithms in Computational Electromagnetics (Artech House, 2001).
6. S. Velamparambil, W. C. Chew, and J. Song, "10 million unknowns: Is it that big?" IEEE Trans. Antennas Propag. 45, 43-58 (2003).
7. L. Gürel and Ö. Ergül, "Fast and accurate solutions of integralequation formulations discretised with tens of millions of unknowns," Electron. Lett. 43, 499-500 (2007). (Pubitemid 46675699)
8. Ö. Ergül and L. Gürel, "Hierarchical parallelisation strategy for multilevel fast multipole algorithm in computational electromagnetics," Electron. Lett. 44, 3-5 (2008). (Pubitemid 350278436)
9. X.-M. Pan and X.-Q. Sheng, "A sophisticated parallel MLFMA for scattering by extremely large targets," IEEE Trans. Antennas Propag. 50, 129-138 (2008).
10. Ö. Ergül and L. Gürel, "Efficient parallelization of the multilevel fast multipole algorithm for the solution of large-scale scattering problems," IEEE Trans. Antennas Propag. 56, 2335-2345 (2008).
11. J. Fostier and F. Olyslager, "An asynchronous parallel MLFMA for scattering at multiple dielectric objects," IEEE Trans. Antennas Propag. 56, 2346-2355 (2008).
12. J. Fostier and F. Olyslager, "Full-wave electromagnetic scattering at extremely large 2-D objects," Electron. Lett. 45, 245-246 (2009).
13. Ö. Ergül and L. Gürel, "A hierarchical partitioning strategy for an efficient parallelization of the multilevel fast multipole algorithm," IEEE Trans. Antennas Propag. 57, 1740-1750 (2009).
14. J. M. Taboada, L. Landesa, F. Obelleiro, J. L. Rodriguez, J. M. Bertolo, M. G. Araujo, J. C. Mourino, and A. Gomez, "High scalability FMM-FFT electromagnetic solver for supercomputer systems," IEEE Trans. Antennas Propag. 51, 21-28 (2009).
15. J. M. Taboada, M. G. Araujo, J. M. Bertolo, L. Landesa, F. Obelleiro, and J. L. Rodriguez, "MLFMA-FFT parallel algorithm for the solution of large-scale problems in electromagnetics," Prog. Electromagn. Res. 105, 15-30 (2010).
16. Ö. Ergül and L. Gürel, "Rigorous solutions of electromagnetics problems involving hundreds of millions of unknowns," IEEE Trans. Antennas Propag. 53, 18-26 (2011).
17. P. Ylä-Oijala and M. Taskinen, "Application of combined field integral equation for electromagnetic scattering by dielectric and composite objects," IEEE Trans. Antennas Propag. 53, 1168-1173 (2005). (Pubitemid 40466863)
18. P. Ylä-Oijala, "Numerical analysis of combined field integral equation formulations for electromagnetic scattering by dielectric and composite objects," Prog. Electromagn. Res. C 3, 19-43 (2008).
19. Ö. Ergül and L. Gürel, "Comparison of integral-equation formulations for the fast and accurate solution of scattering problems involving dielectric objects with the multilevel fast multipole algorithm," IEEE Trans. Antennas Propag. 57, 176-187 (2009).
20. Ö. Ergül and L. Gürel, "Efficient solution of the electric and magnetic current combined-field integral equation with the multilevel fast multipole algorithm and block-diagonal preconditioning," Radio Sci. 44 (2009).
21. S. M. Rao, D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propag. 30, 409-418 (1982).
22. Ö. Ergül and L. Gürel, "An efficient parallel implementation of the multilevel fast multipole algorithm for rigorous solutions of large-scale scattering problems," in International Symposium on Electromagnetic Theory (IEEE, 2010), pp. 616-619.
23. Ö. Ergül and L. Gürel, "Advanced partitioning and communication strategies for the efficient parallelization of the multilevel fast multipole algorithm," in IEEE Antennas and Propagation Society International Symposium (APSURSI) (IEEE, 2010), pp. 1-4.
24. Ö. Ergül, "Accurate and efficient solutions of electromagnetics problems with the multilevel fast multipole algorithm," Ph.D thesis (Bilkent University, , 2009).
25. H. A. van der Vorst, "Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems," SIAM J. Sci. Stat. Comput. 13, 631-644 (1992).