Application of the preconditioned gmres to the crank-nicolson finite-difference time-domain algorithm for 3D full-wave analysis of planar circuits

Microwave and Optical Technology Letters

Volumn 50, Issue 6, 2008, Pages 1458-1463

  Yang, Y ^a,b   Fan, Z H ^a   Ding, D Z ^a   Liu, S B ^b  

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b NANJING UNIVERSITY OF AERONAUTICS AND ASTRONAUTICS   (China)

Author keywords

Crank Nicolson (CN) scheme; FDTD; Krylov subspace iterative solvers; Preconditioning techniques

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FINITE DIFFERENCE TIME DOMAIN METHOD; ITERATIVE METHODS; JACOBIAN MATRICES; LINEAR EQUATIONS; THREE DIMENSIONAL;

CRANK-NICOLSON (CN) SCHEME; KRYLOV-SUBSPACE ITERATIVE SOLVERS; PRECONDITIONED GENERALIZED MINIMAL RESIDUAL (PGMRES) METHOD; PRECONDITIONING TECHNIQUES; SPARSE APPROXIMATE INVERSE (SAI) PRECONDITIONER;

ELECTRIC NETWORK ANALYSIS;

EID: 43049119689     PISSN: 08952477     EISSN: None     Source Type: Journal    
DOI: 10.1002/mop.23396     Document Type: Article

References (14)

1. G. Sun and C.W. Trueman, Unconditionally stable Crank-Nicolson scheme for solving the two-dimensional Maxwell's equations, IEE Electron Lett 39 (2003), 595-597.
2. G. Sun and C.W. Trueman, Approximate Crank-Nicolson schemes for the 2-D finite-difference time-domain method for TEz Waves, IEEE Trans Antennas Propagat 52 (2004), 2963-2972.
3. Y. Yang, R.S. Chen, and E.K.N. Yung, The unconditionally stable Crank-Nicolson FDTD method for three-dimensional Maxwell's equations, Microwave Opt Technol Lett 48 (2006), 1619-1622.
4. K.S. Yee, Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media, IEEE Trans Antennas Propagat 14 (1966), 302-307.
5. Y. Saad, Iterative methods for sparse linear systems, PWS, Boston, MA, 1996.
6. R.S. Chen, D.X. Wang, and E.K.N. Yung, Efficient analysis of millimeter wave ferrite circulators by GMRES iterative algorithm, Int J Infrared Millimeter Waves 24 (2003), 1199-1214.
7. P.L. Rui and R.S. Chen, An efficient sparse approximate inverse preconditioning for FMM implementation, Microwave Opt Technol Lett 49 (2007), 1746-1750.
8. R.S. Chen, X.W. Ping, D.X. Wang, E.K.N. Yung, SSOR preconditioned GMRES for the FEM analysis of waveguide discontinuities with anisotropic dielectric, Int J Numer Model: Electron Networks Dev Fields 17 (2004), 105-118.
9. R.S. Chen, L. Yang, L. Zhao, Y.M. Siu, and K.K. Soo, SSOR preconditioned CG method for the linear interference cancellation of asynchronous CDMA systems, Int J Electron 91 (2004), 745-757.
10. R.S. Chen, E.K.N. Yung, C.H. Chan, D.X. Wang, and D.G. Fang, Application of the SSOR preconditioned CG algorithm to the vector FEM for 3-D full-wave analysis of electromagnetic-field boundary-value problems, IEEE Trans Microwave Theory Tech 50 (2002), 1165-1172.
11. R.S. Chen, X.W. Ping, E.K.N. Yung, C.H. Chan, et al., Application of diagonally perturbed incomplete factorization preconditioned conjugate gradient algorithms for edge finite element analysis of Helmholtz equations, IEEE Trans Antennas Propagat 54 (2006), 1604-1608.
12. D.M. Sheen, S.M. Ali, M.D. Abouzahra, and J.A. Kong, Application of the three-dimensional finite-difference time-domain method to the analysis of planar microstrip circuits, IEEE Trans Microwave Theory Tech 38 (1990), 849-857.
13. W. Wertagen and R.H. Jansen, Efficient direct and iterative electrodynamic analysis of geometrically complex MIC and MMIC structures, Int J Numer Model 2 (1989), 153-186.
14. J. Chen, C. Wu, K.Y. Lo, K.L. Wu, and J. Litva, Using linear and nonlinear predictors to improve the computational efficiency of the FDTD algorithm, IEEE Microwave Theory Technol 42 (1994), 1992-1997.