TY - JOUR
T1 - Divergence properties of the nonstandard finite difference methods
AU - Yang, Bo
AU - Balanis, Constantine
N1 - Funding Information:
Manuscript received July 18, 2006; revised October 19, 2006. This work was supported by the U. S. Army Research Laboratory and the U. S. Army Research Office under Grant W911NF-05-1-0292. The authors are with the Department of Electrical Engineering, Arizona State University, Tempe, AZ 85287-5706, USA (e-mail: bo_yang@asu.edu; balanis@asu.edu). Digital Object Identifier 10.1109/LMWC.2006.890172
PY - 2007/2
Y1 - 2007/2
N2 - 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.
AB - 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.
KW - Divergence equations
KW - Finite-difference time-domain (FDTD) methods
KW - Nonstandard finite difference (NSFD)
KW - Rectangular meshes
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U2 - 10.1109/LMWC.2006.890172
DO - 10.1109/LMWC.2006.890172
M3 - Article
AN - SCOPUS:33847715569
SN - 1531-1309
VL - 17
SP - 88
EP - 90
JO - IEEE Microwave and Wireless Components Letters
JF - IEEE Microwave and Wireless Components Letters
IS - 2
ER -