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SSOR preconditioned GMRES for the FEM analysis of waveguide discontinuities with anisotropic dielectric
Author(s) -
Chen R. S.,
Ping X. W.,
Wang D. X.,
K. N. Yung Edward
Publication year - 2004
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.526
Subject(s) - generalized minimal residual method , finite element method , solver , perfectly matched layer , classification of discontinuities , convergence (economics) , mathematics , iterative method , residual , linear system , mathematical analysis , algorithm , mathematical optimization , structural engineering , engineering , economic growth , economics
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.