Efficient solution to the large scattering and radiation problem using the improved finite-element fast multipole method

IEEE Transactions on Magnetics

Volumn 41, Issue 5, 2005, Pages 1684-1687

  Wei, X C ^a   Li, E P ^a   Zhang, Y J ^a  

^a INSTITUTE OF HIGH PERFORMANCE COMPUTING   (Singapore)

Author keywords

Fast multipole method (FMM); Finite element method (FEM); Multifrontal method

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; FINITE ELEMENT METHOD; LINEAR EQUATIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PERMITTIVITY;

COMPUTING TIME; FACTORIZATION; FAST MULTIPOLE METHOD (FMM); MULTIFRONTAL METHOD;

ELECTROMAGNETISM;

EID: 22044452312     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMAG.2005.846083     Document Type: Article

References (8)

1. J. M. Jin, The Finite Element Method in Electromagnetics, 2nd ed. New York: Wiley, 2002.
2. V. Rokhlin, "Rapid solution of integral equations of scattering theory in two dimensions," J. Comput. Phys., vol. 86, pp. 414-439, Feb. 1990.
3. J. M. Song and W. C. Chew, "Multilevel fast-multipole algorithm for solving combined field integral equations of electromagnetic scattering," Microw. Opt. Technol. Lett., vol. 10, pp. 14-19, Sep. 1995.
4. J. W. H. Liu, "The multifrontal method for sparse matrix solution: Theory and practice," in SIAM Rev., vol. 34, Mar. 1992, pp. 82-109.
5. S. M. Rao, D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surface of arbitrary shape," IEEE Trans. Antennas Propagat., vol. AP-30, no. 5, pp. 409-418, May 1982.
6. 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.
7. X. Q. Sheng, J. M. Jin, J. M. Song, C. C. Lu, and W. C. Chew, "On the formulation of hybrid finite-element and boundary-integral methods for 3-D scattering," IEEE Trans. Antennas Propagat., vol. 46, no. 3, pp. 303-311, Mar. 1998.
8. C. J. Reddy and M. D. Deshpande, NASA Contractor Rep. 4764, Feb. 1997.