Title :
Folded IC preconditioning in quasi-static field analysis taking account of both tree-cotree and Ø = 0 gauge conditions
Author :
Takahashi, Yasuhito ; Mifune, Takeshi ; Iwashita, Takeshi ; Fujiwara, Koji ; Ishihara, Yoshiyuki
Author_Institution :
Doshisha Univ., Kyoto, Japan
Abstract :
This paper develops a folded preconditioning (FP) in quasi-static field analysis taking account of both tree-cotree and Φ =0 gauge conditions. We present an efficient procedure to compute the matrix-vector multiplication with respect to the auxiliary matrices required for the FP. Furthermore, we also construct the IC-based additive Schwarz type FP. Numerical results verify the effectiveness of the proposed methods.
Keywords :
computational electromagnetics; conjugate gradient methods; electromagnetic field theory; matrix multiplication; φ =0 gauge condition; ICCG method; additive Schwarz type folded preconditioning; auxiliary matrices; electromagnetic field analysis; folded IC preconditioning; incomplete Cholesky conjugate gradient method; matrix-vector multiplication; quasi-static field analysis; tree-cotree gauge condition; Additives; Convergence; Electric potential; Electromagnetic analysis; Electromagnetic fields; Equations; Iterative methods; Linear systems; Magnetostatics; Vectors;
Conference_Titel :
Electromagnetic Field Computation (CEFC), 2010 14th Biennial IEEE Conference on
Conference_Location :
Chicago, IL
Print_ISBN :
978-1-4244-7059-4
DOI :
10.1109/CEFC.2010.5481185
