Title :
Divergence Properties of the Nonstandard Finite Difference Methods
Author :
Yang, Bo ; Balanis, Constantine A.
Author_Institution :
Dept. of Electr. Eng., Arizona State Univ., Tempe, AZ
Abstract :
Yee´s classic algorithm was proved to be divergence-free in source-free regions. However, the divergence properties of the nonstandard finite difference (NSFD) methods have not been addressed. In this letter, we investigate the divergence nature of the NSFD (2,2) and (2,4) algorithms. Both the differential and integral forms of Gauss´s Law are examined
Keywords :
computational electromagnetics; differential equations; electric fields; electromagnetic fields; finite difference methods; integral equations; magnetic fields; Gauss law; divergence equations; divergence property; nonstandard finite difference methods; rectangular meshes; Difference equations; Differential equations; Finite difference methods; Frequency; Gaussian processes; Integral equations; Magnetic fields; Time domain analysis; Divergence equations; finite-difference time-domain (FDTD) methods; nonstandard finite difference (NSFD); rectangular meshes;
Journal_Title :
Microwave and Wireless Components Letters, IEEE
DOI :
10.1109/LMWC.2006.890172
