An Improved GMRES Method for Solving Electromagnetic Scattering Problems by MoM

被引：1
|
作者：
Cao, Xinyuan [1 ,2 ]
Chen, Mingsheng [3 ]
Qi, Qi [1 ]
Liu, Xiangxiang [1 ]
Wang, Daoping [1 ]
机构：
[1] Hefei Normal Univ, Anhui Prov Key Lab Simulat & Design Elect Informa, Hefei 230601, Peoples R China
[2] Anhui Bowei Changan Elect Co Ltd, Anhui Prov Key Lab Target Detect & Feature Extrac, Luan 237000, Peoples R China
[3] Anhui Prov Res Ctr Microwave & Commun Engn Techno, Hefei 230601, Peoples R China
来源：
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2022年 / 70卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Fast solution; generalized minimal residual (GMRES); method of moments (MoM); nonorthonormal basis; FIELD INTEGRAL-EQUATION; ALGORITHM;
D O I：
10.1109/TAP.2022.3187610
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：
Method of moments (MoM) is a classical numerical method for analyzing electromagnetic (EM) scattering from various objects. Generalized minimal residual (GMRES) is a kind of widely used solver for linear systems of equations generated by MoM, whose calculation complexity mainly includes two parts, matrix-vector multiplications and the orthogonalization procedure. In order to accelerate the solution of matrix equations arising in MoM, an efficient strategy for constructing nonorthonormal Krylov bases is proposed in this article, which can be introduced into standard GMRES and its variants (e.g., GMRES(m) and quasi-GMRES) and can be easily combined with the fast approaches for MOM (e.g., FMM and ACA). The principle of the method is described in detail, and the effectiveness is verified by numerical results.
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页码：10751 / 10757
页数：7
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