Title :
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
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;
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
DOI :
10.1109/APMC.2007.4555054
