Title :
Evaluation Index of Acceleration Factor and Ordering in Shifted ICCG Method for Electromagnetic Field Analyses
Author :
Iwashita, Takeshi ; Mifune, Takeshi ; Shimasaki, Masaaki
Author_Institution :
Acad. Center for Comput. & Media Studies, Kyoto Univ.
Abstract :
This paper introduces a simple evaluation way for preconditioning effects in the shifted ICCG method. Since the proposed evaluation index is easily calculated with little additional memory requirement in an incomplete factorization process, it can be used for setting appropriate parameters of the solver, such as an acceleration factor and ordering of unknowns, prior to a time-consuming iteration process. Numerical results show that the evaluation index gives a good estimate of number of iterations necessary for convergence
Keywords :
electromagnetic field theory; iterative methods; matrix algebra; acceleration factor; electromagnetic field analyses; evaluation index; factorization process; incomplete Cholesky conjugate gradient simulation; preconditioning effects; time-consuming iteration process; Acceleration; Convergence of numerical methods; Electric breakdown; Electromagnetic analysis; Electromagnetic fields; Equations; Finite element methods; Linear systems; Magnetic analysis; Testing;
Conference_Titel :
Electromagnetic Field Computation, 2006 12th Biennial IEEE Conference on
Conference_Location :
Miami, FL
Print_ISBN :
1-4244-0320-0
DOI :
10.1109/CEFC-06.2006.1632908