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Flexible GMRES‐FFT method for fast matrix solution: application to 3D dielectric bodies electromagnetic scattering
Author(s) -
Chen R. S.,
Ding D. Z.,
Fan Z. H.,
Yung Edward K. N.,
Chan C. H.
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.554
Subject(s) - generalized minimal residual method , krylov subspace , fast fourier transform , dielectric , iterative method , convergence (economics) , permittivity , rate of convergence , scattering , residual , electric field integral equation , mathematics , mathematical analysis , integral equation , physics , computer science , algorithm , optics , telecommunications , channel (broadcasting) , optoelectronics , economics , economic growth
In this paper, the electromagnetic wave scattering is analysed by the efficient Krylov subspace iterative fast Fourier transform (FFT) technique in terms of the electric field integral equation (EFIE) for a dielectric body of general shape, inhomogeneity, and anisotropy. However, when the permittivity of the scatter becomes large, the convergence rate of Krylov subspace iterative methods slow down. Therefore, the inner–outer flexible generalized minimum residual method (FGMRES) is used to accelerate the iteration. As a result, nearly 10 times convergence improvement is achieved for high permittivity cases. Copyright © 2004 John Wiley & Sons, Ltd.