Improvement of ICCG convergence for thin elements in magnetic field analyses using the finite-element method

IEEE Transactions on Magnetics

Volumn 44, Issue 6, 2008, Pages 1178-1181

  Kameari, Akihisa ^a  

^a Research Group of Science Solutions International Laboratory Inc   (Japan)

Author keywords

Finite element method (FEM); Incomplete Cholesky conjugate gradient (ICCG) method; Magnetic field analysis; Singularity decomposition technique (SDT); Thin element

Indexed keywords

INCOMPLETE CHOLESKY CONJUGATE GRADIENT (ICCG) METHOD; MAGNETIC FIELD ANALYSIS; SINGULARITY DECOMPOSITION TECHNIQUE (SDT); THIN ELEMENTS;

CONVERGENCE OF NUMERICAL METHODS; DOMAIN DECOMPOSITION METHODS; FINITE ELEMENT METHOD; MATRIX ALGEBRA; PROBLEM SOLVING; RANDOM VARIABLES;

MAGNETIC FIELD MEASUREMENT;

EID: 44049101437     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMAG.2007.916501     Document Type: Article

References (8)

1. T. Nakata, N. Takahashi, K. Fujiwara, and Y. Shiraki, "3-D magnetic field analysis using special elements," IEEE Trans. Magn., vol. 26, no. 5, pp. 2379-2381, 1990.
2. T. Ueyama, K. Umetsu, and Y. Hirano, "Magnetic shielding analysis by FEM using relative potential," IEEE Trans. Magn., vol. 26, no. 5, pp. 2202-2204, 1990.
3. K. Muramatsu, T. Shimizu, A. Kameari, I. Yanagisawa, S. Tokura, O. Saito, and C. Kaido, "Analysis of eddy currents in surface layer of laminated core in magnetic bearing system using leaf edge elements," IEEE Trans. Magn., vol. 42, no. 4, pp. 883-886, Apr. 2006.
4. K. Fujiwara, T. Nakata, and H. Ohashi, "Improvement of convergence characteristic of ICCG method for the A-φ method using edge elements," IEEE Trans. Magn., vol. 32, no. 3, pp. 804-807, 1996.
5. T. Iwashita, T. Mifune, and M. Shimasaki, "New multigrid method: Basic concept of implicit correction multigrid method," IPSJ Trans. Adv. Comput. Syst., vol. 48, pp. 1-10, 2007, (ACS18) (in Japanese).
6. T. Iwashita, T. Mifune, and M. Shimasaki, "Similarities between implicit multigrid method and A-phi formulation in electro magnetic field analysis," presented at the 16th Int. Conf. on the Computation of Electromagnetic Fields, Aachen, Germany, Jan. 24-28, 2007.
7. H. Igarashi, "On the property of the curl-curl matrix in finite element analysis with edge elements," IEEE Trans. Magn., vol. 37, no. 5, pp. 3129-3132, May 2006.
8. Y. Takahashi, S. Wakao, and A. Kameari, "Large-scale and highly accurate magnetic field analysis of magnetic shield," J. Appl. Phys., vol. 99, 2006, 08H904.