TY - JOUR
T1 - Development of the SBP-SAT FDTD(2,4) Method with Non-uniform Grids for Electromagnetic Analysis
AU - Wu, Weibo
AU - Wang, Yuhui
AU - Deng, Langran
AU - Liu, Hanhong
AU - Cheng, Yu
AU - Zhang, Xinyue
AU - Zhang, Xingqi
AU - Wang, Jian
AU - Wang, Wei Jie
AU - Chen, Zhizhang
AU - Yang, Shunchuan
N1 - Publisher Copyright:
© 1963-2012 IEEE.
PY - 2026
Y1 - 2026
N2 - A three-dimensional, finite-difference time-domain (FDTD) method with second-order temporal and fourth-order spatial accuracy (FDTD(2,4)), combined with the summation-by-parts simultaneous approximation term (SBP-SAT) technique, is proposed in this article to guarantee the theoretical stability and reduce numerical dispersion errors. The proposed method remains theoretically stable in long-time simulations and accurate at low spatial sampling rates, thereby improving the stability and accuracy for complicated structures. This article mainly focuses on its three-dimensional implementation, numerical dispersion characteristics, and comparisons to the FDTD(2,2) method, the FDTD(2,4) method and the SBP-SAT FDTD(2,2) method. The effectiveness of the proposed method is verified through several numerical examples. Results show that the proposed SBP-SAT FDTD(2,4) method is theoretically stable and exhibits good accuracy.
AB - A three-dimensional, finite-difference time-domain (FDTD) method with second-order temporal and fourth-order spatial accuracy (FDTD(2,4)), combined with the summation-by-parts simultaneous approximation term (SBP-SAT) technique, is proposed in this article to guarantee the theoretical stability and reduce numerical dispersion errors. The proposed method remains theoretically stable in long-time simulations and accurate at low spatial sampling rates, thereby improving the stability and accuracy for complicated structures. This article mainly focuses on its three-dimensional implementation, numerical dispersion characteristics, and comparisons to the FDTD(2,2) method, the FDTD(2,4) method and the SBP-SAT FDTD(2,2) method. The effectiveness of the proposed method is verified through several numerical examples. Results show that the proposed SBP-SAT FDTD(2,4) method is theoretically stable and exhibits good accuracy.
KW - Finite-difference time-domain (FDTD)
KW - high-order method
KW - non-uniform grid
KW - stability
KW - summation-by-parts simultaneous approximation term (SBP-SAT)
UR - https://www.scopus.com/pages/publications/105032201870
U2 - 10.1109/TAP.2026.3668321
DO - 10.1109/TAP.2026.3668321
M3 - 文章
AN - SCOPUS:105032201870
SN - 0018-926X
JO - IEEE Transactions on Antennas and Propagation
JF - IEEE Transactions on Antennas and Propagation
ER -