Application of SSOR preconditioned GMRESR algorithm for FEM Analysis of Helmholtz Equations

Author

Rui, P.L. ; Li, S.S. ; Chen, R.S.

Author_Institution

Dept. of Commun. Eng., Nanjing Sci. & Technol. Univ., Jiangsu

fYear

2006

fDate

9-14 July 2006

Firstpage

1773

Lastpage

1776

Abstract

In this paper, an efficient variant of the generalized minimal residual method, which is the GMRESR iterative method has been proposed and demonstrated to solve the large, sparse matrix equation obtained from an ungauged formulation of FEM analysis Helmholtz Equations. The performance of variable preconditioning for GMRESR method is further improved by using an efficient symmetric successive over-relaxation (SSOR) preconditioning for the inner GMRES method. Several electromagnetic structures are analyzed and good convergence improvement is achieved in terms of both the iteration number and CPU time

Keywords

Helmholtz equations; computational electromagnetics; electromagnetic fields; finite element analysis; iterative methods; FEM analysis; GMRESR iterative method; Helmholtz equations; SSOR preconditioning; electromagnetic structures; finite element analysis; generalized minimal residual method; sparse matrix equation; symmetric successive over-relaxation preconditioning; Aerospace engineering; Algorithm design and analysis; Approximation algorithms; Convergence; Equations; Finite element methods; Iterative algorithms; Iterative methods; Linear systems; Transmission line matrix methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium 2006, IEEE

Conference_Location

Albuquerque, NM

Print_ISBN

1-4244-0123-2

Type

conf

DOI

10.1109/APS.2006.1710909

Filename

1710909