Effect of preconditioning in edge-based finite-element method

被引：7

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.

引用

页码：942 / 945

页数：4

共 7 条

[1] Stiff problems in eddy-current theory and the regularization of Maxwell's equations [J].