Title :
On Crank-Nicholson Based 3D FDTD
Author :
Xie, X. ; Pan, G.
Author_Institution :
Arizona State Univ., Tempe, AZ
Abstract :
This paper presents an unconditionally stable time domain method, CNRG-TD, which is based upon the Crank-Nicohlson scheme and implemented with the Ritz-Galerkin procedure. Analytical expressions show that the CNRG-TD has much smaller truncation errors and is more accurate than the ADI-FDTD. Numerical examples of the new method demonstrate high precision and high efficiency. In the 3D antenna case, the time step, Deltat, was used which is seven times larger than that of the ADI-FDTD with excellent agreement of the benchmark solution
Keywords :
Galerkin method; antenna theory; finite difference time-domain analysis; 3D antenna case; ADI-FDTD; CNRG-TD; Crank-Nicholson based 3D FDTD; Ritz-Galerkin procedure; time step; truncation errors; unconditionally stable time domain method; Eigenvalues and eigenfunctions; Error analysis; Finite difference methods; Finite wordlength effects; Mathematics; Matrices; Maxwell equations; Stability; Taylor series; Time domain analysis;
Conference_Titel :
Antennas and Propagation Society International Symposium 2006, IEEE
Conference_Location :
Albuquerque, NM
Print_ISBN :
1-4244-0123-2
DOI :
10.1109/APS.2006.1711443
