Review of large scale computing in electromagnetics with fast integral equation solvers

CMES - Computer Modeling in Engineering and Sciences

Volumn 5, Issue 4, 2004, Pages 361-372

  Chew, W C ^a   Song, J M ^a   Cui, T J ^a   Velamparambil, S ^a   Hastriter, M L ^a   Hu, B ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL ELECTROMAGNETICS; FAST INTEGRAL EQUATION SOLVERS; LARGE SCALE COMPUTING;

ALGORITHMS; COMPUTATIONAL METHODS; COMPUTER HARDWARE; ELECTRICAL ENGINEERING; FREQUENCY DOMAIN ANALYSIS; INTEGRAL EQUATIONS; MATRIX ALGEBRA; MAXWELL EQUATIONS;

ELECTROMAGNETISM;

EID: 5144233635     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review

References (28)

1. Chew, W. C. (2002): Computational Electromagnetics - The Physics of Smooth Kernel Versus Oscillatory Kernel, and Wavelets Versus Fast Multipole, ACES Digest, (invited plenary lecture).
2. Chew, W. C.; Cui, T. J.; Song, J. M. (2002): A FAFFA-MLFMA algorithm for electromagnetic scattering, IEEE Trans. on Antennas and Propagation, accepted for publication.
3. Chew, W. C.; Jin, J. M.; Michielssen, E.; Song, J. M. (editors) (2001): Fast and Efficient Algorithms in Computational Electromagnetics, Artech House, Boston, MA. J. M. Jin, The Finite Element Method in Electromagnetics.
4. Cui, T. J.; Chew, W. C.; Chen, G.; Song, J. M. (2002): A FAFFA-RPFMA-MLFMA algorithm for largescale electromagnetic scattering, IEEE Trans. Antennas Propagat., submitted for publication.
5. Forgy, E. A.; Chew, W. C. (2002): A time-domain method with isotropic dispersion and increased stability on an overlapped lattice, IEEE Trans. Antennas Propagat.,vol. 50, no. 7.
6. Harrington, R. F. (1982): Field Computation by Moment Method, Malabar, FL: Krieger Publ.
7. Hestenes, M. R.; Stiefel, E. (1952): Methods of conjugate gradients for solving linear systems, J. Res. Nat. Bur. Stand., Sect. B, vol. 49, pp. 409-436.
8. Hu, B.; Chew, W. C. (2000): Fast inhomogeneous plane wave algorithm for electromagnetic solutions in layered medium structures - 2D case, Radio Science, vol. 35, no. 1, pp. 31-43.
9. Hu, B.; Chew, W. C. (2001) Fast inhomogeneous plane wave algorithm for scattering from objects above the multi-layered medium, accepted by IEEE Trans. Geosci. Remote Sensing, vol. 39, no. 5, pp. 1028-1038.
10. Hu, B.; Chew, W. C. (2001): Fast inhomogeneous plane wave algorithm for scattering from objects above the multi-layered medium, accepted by IEEE Trans. Geosci. Remote Sensing, vol. 39, no. 5, pp. 1028-1038.
11. Jin, J. M. (1993): The Finite Element Method in Electromagnetics, New York: John Wiley \& Sons.
12. Liu, Q. H. (1998): The PSTD algorithm for acoustic waves in inhomogeneous, absorptive media, IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 45, no. 4, pp. 1044-1055.
13. Liu, J.; Jin, J. M. (2001): A novel hybridization of higher order finite element and boundary integral methods for electromagnetic scattering and radiation problems, IEEE Trans. Antennas Propagat., vol. 49, no. 11.
14. Lu, C. C.; Chew, W. C. (1994): A multilevel algorithm for solving boundary-value scattering, Micro. Opt. Tech. Lett., vol. 7, no. 10, pp. 466-470.
15. Mittra, R.; Prakash, V. V. S. (2004): The characteristic basis function method: a new technique for fast solution of radar scattering problems, CMES: Computer Modeling in Engineering & Sciences, vol. 5, no. 5, pp. 435-442.
16. Namburu, R. R.; Mark, E. R.; Clarke, J. A. (2004): Scalable electromagnetic simulation environment, CMES: Computer Modeling in Engineering & Sciences, vol. 5, no. 5, pp. 443-454.
17. Rankine, W. T.; Board, J. A. (1994): A portable distributed implementation of the parallel fast multipole tree algorithm, Tech. Rep. 95-002, Dept. Elect. Eng., Duke University, Durham, NC.
18. Rokhlin, V. (1990): Rapid solution of integral equations of scattering theory in two dimensions, J. Comp. Phys., vol. 86, pp. 414-439.
19. Song, J. M.; Chew, W. C. (1995): Multilevel fast-multipole algorithm for solving combined field integral equations of electromagnetic scattering, Micro. Opt. Tech. Lett., vol. 10, no. 1, pp. 14-19.
20. Song, J. M.; Chew, W. C. (2000): Large scale computations using FISC, IEEE Antennas Propag. Soc.Int. Symp., Salt Lake City, Utah, vol. 4, pp. 1856-1859, July 16-21.
21. Song, J. M.; Chew, W. C. (2002): Broadband time-domain calculation using FISC, IEEE AP-S International Symposium, San Antonio, Texas, vol. 3, pp.552-555.
22. Song, J. M.; Lu, C. C.; Chew, W. C.; Lee, S. W. (1998): Fast Illinois solver code (FISC) IEEE Antennas Propag. Magazine, (invited), vol. 40, no. 3, pp. 27-34.
23. Taflove, A. (1995): Computational Electrodynamics: The Finite-Difference Time-Domain Method, Norwood, MA: Artech House.
24. Velamparambil, S. V.; Chew, W. C.; Hastriter, M. L. (2002): Scalable electromagnetic scattering computation, IEEE Antennas Propagat. Symp., San Antonio, Volume: 3, 16-21, pp. 176.
25. Velamparambil, S. V.; Song, J. M.; Chew, W. C. (1999): A portable parallel multilevel fast multipole solver for scattering from perfectly conducting bodies," IEEE Antennas Propagat. Symp., vol. 1, pp. 648-651.
26. Volakis, J. L.; Sertel, K.; Jørgensen, E.; Kindt, R. W. (2004): Hybrid finite element and volume integral methods for scattering using parametric geometry, CMES: Computer Modeling in Engineering & Sciences, vol. 5, no. 5, pp. 463-476.
27. Warnick, K.; Chew, W. C. (2001): High Frequency Asymptotic Representation of the Fast Multiple Method Translation Operator, IEEE Antennas & Propagation International Symposium and USNC/URSI Meeting, Boston, MA, p. 330, July 8-13, 200.
28. Yang, B.; Gottlieb, D.; Hesthaven, J. S. (1997): Spectral simulations of electromagnetic wave scattering, J. Comp. Phys., vol. 134, no. 2, pp. 216-230.