A 3D hybrid implicit‐explicit FDTD scheme with weakly conditional stability

J Chen, J Wang - Microwave and optical technology letters, 2006 - Wiley Online Library
In this paper, the hybrid implicit–explicit finite‐difference time‐domain (HIE‐FDTD) algorithm
for a two‐dimensional (2D) TE wave is extended to a full three‐dimensional (3D) wave. The
weakly conditional stability is verified by numerical simulation results. Numerical
formulations of the 3D HIE‐FDTD method are presented and simulation results are
compared to those using the conventional 3D finite‐difference time‐domain method. High
computation efficiency is obtained by introducing an unequal space increment in different …

A hybrid implicit‐explicit FDTD scheme with weakly conditional stability

B Huang, G Wang, Y Jiang… - Microwave and optical …, 2003 - Wiley Online Library
A hybrid implicit‐explicit FDTD (HIE‐FDTD) algorithm is proposed in this paper. In the HIE‐
FDTD algorithm, semi‐implicit‐and explicit‐difference schemes are imposed on two different
field components, respectively, and the field component with implicit difference is updated by
solving simple tridiagonal matrix equations. The HIE‐FDTD method, although conditionally
stable, allows for larger time‐step size than the conventional FDTD method because the
stability condition of the HIE‐FDTD method is weaker than that of the conventional Yee's …
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