On convergence of ICCG applied to finite-element equation for quasi-static fields

被引：44

作者：

Igarashi, H ^{[1
]}

Honma, T ^{[1
]}

机构：

[1] Hokkaido Univ, Grad Sch Engn, Kita Ku, Sapporo, Hokkaido 0608628, Japan

来源：

IEEE TRANSACTIONS ON MAGNETICS | 2002年 / 38卷 / 02期

关键词：

eEddy current; edge element; finite-element method; ICCG; singular value;

D O I：

10.1109/20.996148

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper discusses convergence of the incomplete Cholesky conjugate gradient method (ICCG) which solves edge-based finite-element equations for quasi-static electromagnetic fields. It has been observed in numerical computations that convergence of ICCG for the A-V method is faster than that for the A method. This phenomenon is found to be explained by the fact that, in the A-V method, the preconditioning eliminates the small singular values which deteriorate the condition number while they remain after the preconditioning in the case of the A method.

引用

页码：565 / 568

页数：4

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