Document Type

Journal Article

Department/Unit

Department of Mathematics

Title

Product-type block preconditioners for electromagnetic cavity problems

Language

English

Abstract

In a radar detecting system, the radar cross section (RCS) of a target is an important application in electromagnetics computation. Cavity prediction is usually required in the computation process. When wavelengths of electromagnetic field are large, cavity calculation is a challenging problem. The main aim of this paper is to employ the preconditioned GMRES method to solve linear systems arising in cavity calculation of the transverse magnetic and transverse electric problems. We develop new preconditioners based on fast transforms and Toeplitz solvers. Our numerical results show that the proposed preconditioners are quite efficient and effective, especially when the wavelength is large. © 2009 Elsevier Inc. All rights reserved.

Keywords

Block preconditioner, Discrete transform, Electromagnetic cavity, Helmholtz equation, Toeplitz

Publication Date

2010

Source Publication Title

Applied Mathematics and Computation

Volume

216

Issue

6

Start Page

1741

End Page

1745

Publisher

Elsevier

DOI

10.1016/j.amc.2009.12.030

Link to Publisher's Edition

http://dx.doi.org/10.1016/j.amc.2009.12.030

ISSN (print)

00963003

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