## Abstract When solving electromagnetic problems by finite element method, the resulting linear systems are ill‐conditioned when the PML absorbing layers are adopted. Traditional Krylov iterative algorithms usually converge slowly or may even stagnate. In this paper, the combination of the inner–o
SSOR preconditioned GMRES for the FEM analysis of waveguide discontinuities with anisotropic dielectric
✍ Scribed by R. S. Chen; X. W. Ping; D. X. Wang; Edward K. N. Yung
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 201 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0894-3370
- DOI
- 10.1002/jnm.526
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✦ Synopsis
Abstract
The anisotropic media and active properties of the perfectly matched layer (PML) absorbers significantly deteriorate the finite element method (FEM) system condition and as a result, convergence of the iterative solver is substantially slowed down. To address this issue, the symmetric successive over‐relaxation (SSOR) preconditioning scheme is applied to the generalized minimal residual (GMRES) for solving a large sparse and non‐symmetric system of linear equations resulting from the analysis of ferrite waveguide device by use of edge‐based FEM. Consequently, this preconditioned GMRES (PGMRES) approach can reach convergence ten times faster than GMRES for the typical structures. Copyright © 2004 John Wiley & Sons, Ltd.
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