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Application of Preconditioned GMRES Algorithm for Analysis of Millimeter Wave Ferrite Sphere Circulators
Authors:R S Chen  D X Wang and Edward K N Yung
Institution:(1) Department of Communication Engineering, Nanjing University of Science & Technology, 210094, People's Republic of China;(2) Department of Electronic Engineering, City University of Hong Kong, Hong Kong
Abstract:The generalized minimal residual (GMRES) iterative method is applied to solve such sparse large non-symmetric system of linear equations resulting from the use of edge-based finite element method. In order to speed up the convergence of GMRES, the symmetric successive overrelaxation (SSOR) preconditioning scheme is applied for the analysis of millimeter wave ferrite circulator. Consequently, this preconditioned GMRES (PGMRES) approach can reach convergence ten times faster than GMRES. The reflection and insertion losses of millimeter wave waveguide circulator are compared with those obtained from literature.
Keywords:Millimeter wave  Finite element method  GMRES method  SSOR  Waveguide circulators
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