Effect of preconditioning in edge-based finite-element method

被引：6
|
作者：
Igarashi, Hajime [1 ]
Yamamoto, Nobito [2 ]
机构：
[1] Hokkaido Univ, Sapporo, Hokkaido 0600814, Japan
[2] Univ Electrocommun, Tokyo 1828585, Japan
来源：
IEEE TRANSACTIONS ON MAGNETICS | 2008年 / 44卷 / 06期
关键词：
A-V method; diagonal scaling; edge elements; finite-element method; preconditioning;
D O I：
10.1109/TMAG.2007.916272
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 mathematical properties of preconditioned finite-element matrices based on vector potential formulation (A method) and vector and scalar potential formulation (A-V method) for eddy-current problems. Numerical results show that A-V method with preconditioning is stable at all frequencies in contrast to A method. In this paper, this property is mathematically discussed by considering the diagonal scaling which is one of the simple preconditioning methods. In addition, regularization of A method is discussed.
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页码：942 / 945
页数：4
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