Improving the convergence rate of the conjugate gradient FFT method using subdomain basis functions

Author

Barkeshli, Kasra ; Volakis, John J.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA

Volume

37

Issue

7

fYear

1989

fDate

7/1/1989 12:00:00 AM

Firstpage

893

Lastpage

900

Abstract

A technique to improve the convergence rate of the conjugate gradient-fast Fourier transform (CG-FFT) method is presented. The procedure involves the incorporation of subdomain basis functions associated with the current representation of linear and planar radiating elements. It is shown that significant improvements are achieved in the convergence of the CG-FFT when using sinusoidal basis functions. Numerical results are presented for thin cylindrical dipoles, conducting strips, and material plates of various sizes. In all cases, an increase in the rate of convergence by a factor of two or better was observed

Keywords

antenna theory; convergence of numerical methods; electromagnetic wave scattering; fast Fourier transforms; iterative methods; EM scattering; FFT; antenna theory; conducting strips; conjugate gradient-fast Fourier transform; convergence rate; linear radiating elements; material plates; planar radiating elements; subdomain basis functions; thin cylindrical dipoles; Conducting materials; Convergence; Convolution; Fast Fourier transforms; Fourier transforms; Gradient methods; Integral equations; Iterative algorithms; Iterative methods; Strips;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.29384

Filename

29384