Numerical Examinations of the Stability of FDTD Subgridding Schemes
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Numerical Examinations of the Stability of FDTD Subgridding Schemes摘要
The stability of two-dimensional Finite-Difference Time-Domain subgridding schemes was numerically examined. Both the same-time-step and the multiple-time-step schemes were considered. Results show that the multiple-time-step subgridding scheme is late-time unstable due to larger-than-unity eigenvalues. As to the same-time-step subgridding schemes, stability is related to the treatment of corner regions.
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参考
K. S. Yee, “Numerical solution of initial boundary
value problems involving Maxwell’s equation in
isotropic media,” IEEE Trans. Antennas Propag.,
vol. 14, no. 3, pp. 302-307, 1966.
A. Taflove Advances in computational
electrodynamics: the finite-difference time-domain
method, Artech: Boston.
K. S. Kunz and L. Simpson, “A technique for
increasing the resolution of finite-difference
solution of the Maxwell equation,” IEEE Trans.
Electromagn. Compat., vol. 23, no. 4, pp.419-422,
I. S. Kim and W. J. R. Hoefer A local mesh
refinement for the time-domain finite-difference
method using Maxwell’s curl equations, IEEE Trans.
Microwave Theory Tech. 1990; 38(6):812-815.
S. S. Zivanovic, K. S. Yee, and K. K. Mei, “A
subgridding method for the time-domain
finite-difference method to solve Maxwell’s
equations,” IEEE Trans. Microwave Theory Tech.,
S. WANG: NUMERICAL STABILITY OF FDTD SUBGRIDDING 193
vol. 39, no. 3, pp. 471-479, 1991.
M. Okoniewski, E. Okoniewski, and M. A. Stuchly,
“Three-dimensional subgridding algorithm for
FDTD,” IEEE Trans. Antennas Propag., vol. 45, no.
, pp. 422-429, 1997.
M. W. Chevalier, R. J. Luebbers, and V. P. Cable,
“FDTD local grid with material transverse,” IEEE
Trans. Antennas Propag., vol. 45, no. 3, pp.
-421, 1997.
S. Wang, F. L. Teixeira, R. Lee, and J-F. Lee,
“Optimization of subgridding schemes for FDTD,”
IEEE Microwave and Wireless Components Lett.,
vol. 12, no. 6, pp. 223-225, 2002.
P. Thoma and T. Weiland, “A consistent
subgridding scheme for the finite difference time
domain method,” International Journal of
Numerical Modeling: Electronic Network, Devices
and Fields, vol. 9, no. 5, pp. 359-374, 1996.
J. W. Thomas Numerical Partial Differential
Equations: Finite Difference Methods. Springer
Verlag: New York.
B. Porat A course in digital signal processing. John
Wiley & Sons: New York.
