Application of Iterative Solvers in 3D Crank-Nicolson FDTD Method for Simulating Resonant Frequencies of the Dielectric Cavity

Author

Yang, Y. ; Chen, R.S. ; Ding, D.Z. ; Fan, Z.H. ; Yung, E.K.N.

Author_Institution

Dept. of Commun. Eng., Nanjing Univ. of Sci. & Technol., Nanjing

fYear

2007

fDate

11-14 Dec. 2007

Firstpage

1

Lastpage

4

Abstract

In this paper, several Krylov subspace iterative algorithms are proposed as the solvers for the unconditionally stable three-dimensional Crank-Nicolson finite-difference time- domain (3D CN-FDTD) method. To demonstrate features of this method, a resonant cavity is analyzed. Numerical results indicate that the GMRES method is the most efficient solver for the dielectric cavity. And while the time step size excessively larger than the Courant-Friedrich-Levy (CFL) limit, the CN-FDTD maintained accuracy compared with the exact solutions.

Keywords

electromagnetic waves; finite difference time-domain analysis; iterative methods; matrix algebra; 3D Crank-Nicolson FDTD method; Courant-Friedrich-Levy limit; GMRES method; Krylov subspace iterative algorithms; dielectric cavity; iterative solvers; matrix algebra; resonant frequencies; three-dimensional Crank-Nicolson finite-difference time- domain method; Dielectrics; Finite difference methods; Gradient methods; Iterative algorithms; Iterative methods; Maxwell equations; Microwave theory and techniques; Resonant frequency; Stability; Time domain analysis; Crank-Nicolson (CN) scheme; FDTD; GMRES; Krylov subspace iterative solvers;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwave Conference, 2007. APMC 2007. Asia-Pacific

Conference_Location

Bangkok

Print_ISBN

978-1-4244-0748-4

Electronic_ISBN

978-1-4244-0749-1

Type

conf

DOI

10.1109/APMC.2007.4555054

Filename

4555054