Convergence of preconditioned conjugate gradient method applied to driven microwave problems

IEEE Transactions on Magnetics

Volumn 39, Issue 3 I, 2003, Pages 1705-1708

  Igarashi, H ^a   Honma, T ^a  

^a HOKKAIDO UNIVERSITY   (Japan)

Author keywords

Condition number; Conjugate gradient (CG) method; Electromagnetic waves; Finite element method; Preconditioning

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; GALERKIN METHODS; MATRIX ALGEBRA; MICROWAVES; POLES AND ZEROS;

CONDITION NUMBER; CONJUGATE GRADIENT METHOD; DRIVEN MICROWAVE PROBLEMS;

ELECTROMAGNETIC FIELD THEORY;

EID: 0038180864     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMAG.2003.810168     Document Type: Article

References (8)

1. H. Igarashi, "On the property of the curl-curl matrix in finite element analysis with edge elements," IEEE Trans. Magn., vol. 37, pp. 3129-3132, Sept. 2001.
2. H. Igarashi and T. Honma, "On the convergence of ICCG applied to finite element equation for quasistatic fields," IEEE Trans. Magn., vol. 38, pp. 565-568, Mar. 2002.
3. R. Dyczij-Edlinger and O. Biro, "A joint vector and scalar potential formulation for driven high frequency problems using hybrid edge and nodal finite elements," IEEE Trans. Microwave Theory Tech., vol. 44, pp. 15-23, Jan. 1996.
4. W. Joubert, "Lanczos methods for the solution of nonsymmetric systems of liner equations," SIAM J. Matrix Anal. Appl., vol. 13, pp. 926-943, 1992.
5. A. Bossavit, Computational Electromagnetism. New York: Academic, 1998.
6. K. Fujiwara, T. Nakata, and H. Ohashi, "Improvement of convergence characteristics of ICCG method for the A-φ method using edge elements," IEEE Trans. Magn., vol. 32, pp. 804-807, May 1996
7. P. C. Hansen, Rank-Deficient and Discrete Ill-Posed Problems. Philadelphia, PA: SIAM, 1998.
8. G. Strang, Linear Algebra and its Applications New York: Academic, 1976.