Department of Mathematics
Product-type block preconditioners for electromagnetic cavity problems
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.
Block preconditioner, Discrete transform, Electromagnetic cavity, Helmholtz equation, Toeplitz
Source Publication Title
Applied Mathematics and Computation
Huang, Yu-Mei, and Michael K. Ng. "Product-type block preconditioners for electromagnetic cavity problems." Applied Mathematics and Computation 216.6 (2010): 1741-1745.