Application of the preconditioned conjugate-gradient algorithm to the edge FEM for electromagnetic boundary-value problems

Microwave and Optical Technology Letters

Volumn 27, Issue 4, 2000, Pages 235-238

  Chen, R S ^a   Yung, Edward K N ^b   Chan, C H ^b   Fang, D G ^a  

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY VALUE PROBLEMS; COMPUTATIONAL COMPLEXITY; CONVERGENCE OF NUMERICAL METHODS; DIELECTRIC WAVEGUIDES; FINITE ELEMENT METHOD; ITERATIVE METHODS; LINEAR EQUATIONS; MATRIX ALGEBRA; RECTANGULAR WAVEGUIDES;

EDGE FINITE ELEMENT METHOD; ELECTROMAGNETIC BOUNDARY VALUE PROBLEM; LARGE SCALE ELECTROMAGNETIC PROBLEM; PRECONDITIONED CONJUGATE GRADIENT ALGORITHM; SYMMETRIC SUCCESSIVE OVERRELAXATION PRECONDITIONING;

ELECTROMAGNETS;

EID: 0034326061     PISSN: 08952477     EISSN: None     Source Type: Journal    
DOI: 10.1002/1098-2760(20001120)27:4<235::AID-MOP5>3.0.CO;2-8     Document Type: Article

References (17)

1. K. Ise, K. Inoue, and M. Koshiha, Three-dimensional finite-element method with edge elements for electromagnetic wave-guide discontinuities, IEEE Trans Microwave Theory Tech 39 (1991), 1289-1295.
2. J.-F. Lee and R. Mittra, A note on the application of edge-element for modelling three-dimensional inhomogeneously-filled cavities, IEEE Trans Microwave Theory Tech 40 (1992), 1767-1773.
3. J.-Y. Wu and R. Lee, The advantages of triangular and tetrahedral edge elements for electromagnetic modelling with the finite element method, IEEE Trans Microwave Theory Tech 45 (1997), 1431-1437.
4. J.L. Volakis, A. Chatterjee, and L.C. Kempel, Finite element method for electromagnetics, IEEE Press, New York, 1998.
5. J.M. Jin, The finite element method in electromagnetics, Wiley, New York, 1993.
6. T.K. Sarkar and E. Arvas, On a class of finite step iterative methods (conjugate directions) for the solution of an operator equation arising in electromagnetics, IEEE Trans Antennas Propagat AP-33 (1985), 1058-1066.
7. O. Axelsson and L.Yu. Kolotilina, Preconditioned conjugate gradient methods, Proc 1989, Lecture Notes in Math, A. Dold, B. Eckmann, and F. Takens (Editors), Springer-Verlag, Berlin, 1990, vol. 1457.
8. O. Axelsson, On the rate of convergence of the preconditioned conjugate gradient method, Numer Math 48 (1986), 499-523.
9. D.S. Kershaw, The incomplete Cholesky-conjugate gradient method for the solution of systems of linear equations, J Comput Phys 26 (1978), 43-65.
10. Y. Saad, Iterative methods for sparse linear systems, PWS Publishing, Boston. MA, 1995.
11. DJ. Evans, Preconditioned iterative methods, Gordon and Breach, Switzerland, 1994.
12. T. Dupont, R.P. Kendall, and H.H. Rachford, An approximate factorization procedure for solving self-adjoint elliptic difference equations, SIAM J Numer Anal 5 (1968), 559-573.
13. L. Tsang, C.H. Chan, H. Sangani, A. Ishimaru, and P. Phu, A banded matrix iterative approach to Monte Carlo simulations of large-scale random rough-surface scattering, J Electromag Waves Appl 7 (1993), 1185-1200.
14. A.D. Yaghjian, Banded-matrix preconditioning for electric-field integral equations, IEEE AP-S Int Symp Dig, Montreal, Canada, 1997, pp. 1806-1809.
15. C.H. Ahn, W.C. Chew, J.S. Zhao, and E. Michielssen, Numerical study of approximate inverse preconditioner for two-dimensional engine inlet problems, Electromag 19 (1999), 131-146.
16. F.X. Canning, Diagonal preconditioners for the EFIE using a wavelet basis, IEEE Trans Antennas Propagat 44 (1996), 1239-1246.
17. Z.S. Sacks et al., A perfectly matched anisotropic absorber for use as an absorbing boundary condition, IEEE Trans Antennas Propagat 43 (1995), 1460-1463.