Wavelet-based preconditioner for three-dimensional electromagnetic integral equations

被引：4

作者：

Deng, H ^{[1
]}

Ling, H ^{[1
]}

机构：

[1] Univ Texas, Dept Elect & Comp Engn, Austin, TX 78712 USA

来源：

ELECTRONICS LETTERS | 2000年 / 36卷 / 25期

关键词：

Integral equations - Iterative methods - Wavelet transforms;

D O I：

10.1049/el:20001481

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：

A wavelet-based method is proposed to effectively precondition 3D electromagnetic integral equations. The approximate-inverse preconditioner is constructed in the wavelet domain where both the moment matrix and its inverse exhibit sparse, multilevel finger structures. The inversion is carried out as a Frobenius-norm minimisation problem. Numerical results on a 3D cavity show that the iteration numbers are significantly reduced with the preconditioned system. The computational cost of the preconditioner is kept under O(NlogN).

引用

页码：2063 / 2065

页数：3

共 5 条

[1]

AHN CH, 1998, APPROXIMATE INVERSE

[2]

[Anonymous], 1995, SURVEY PRECONDITIONE

[3] FAST WAVELET TRANSFORMS AND NUMERICAL ALGORITHMS .1. [J].

BEYLKIN, G ;

COIFMAN, R ;

ROKHLIN, V .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1991, 44 (02) :141-183

[4]

Coifman R., 1993, IEEE Antennas and Propagation Magazine, V35, P7, DOI 10.1109/74.250128

[5] Parallel preconditioning with sparse approximate inverses [J].

Grote, MJ ;

Huckle, T .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1997, 18 (03) :838-853

← 1 →