On preconditioning and the eigensystems of electromagnetic radiation problems

被引：16

作者：

Hesford, Andrew J. ^{[1
]}

Chew, Weng C. ^{[2
]}

机构：

[1] Univ Rochester, Dept Elect & Comp Engn, Rochester, NY 14642 USA

[2] Univ Illinois, Dept Elect & Comp Engn, Ctr Computat Electromagnet, Urbana, IL 61801 USA

来源：

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2008年 / 56卷 / 08期

关键词：

electromagnetic radiation; fast solvers; iterative methods; moment methods; preconditioner;

D O I：

10.1109/TAP.2008.926783

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 [电气工程]; 0809 [电子科学与技术];

摘要：

A formulation of the Method of Moments (MoM) impedance matrix is presented that facilitates discussion of the behavior of its eigenvalues and eigenvectors. This provides insight into the difficulties of producing iterative solutions to electromagnetic radiation problems, which typically involve nonuniform meshes. Based on this analysis, a localized self-box inclusion (SBI) preconditioner is developed to overcome the aforementioned issues. Numerical results are shown using a parallel multilevel fast multipole algorithm (MLFMA) library, coupled with an implementation of the SBI preconditioner. Using these parallel libraries allows the solution of very large problems, due to both excessive size and poor conditioning. A model of an XM antenna, mounted atop an automobile above a very large ground plane, establishes the effectiveness of these methods for more than 3.5 million unknowns.

引用

页码：2413 / 2420

页数：8

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