Title :
One-Step Leapfrog ADI-FDTD Method Including Lumped Elements and Its Stability Analysis
Author :
Wang, Xiang-Hua ; Yin, Wen-Yan ; Chen, Zhizhang ; Yang, Shun-Chuan
Author_Institution :
Centre for Opt. & Electromagn. Res. (COER), Zhejiang Univ., Hangzhou, China
fDate :
7/4/1905 12:00:00 AM
Abstract :
A one-step leapfrog alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method including lumped elements is presented. The method is originated from the conventional ADI-FDTD method, but without mid-time-step computations. Its unconditional stability is analytically proven by combining the von Neumann method with the Jury criterion. In addition, its unconditional stability and high computational efficiency are verified through numerical experiments.
Keywords :
finite difference time-domain analysis; stability; computational efficiency; jury criterion; leapfrog ADI-FDTD method; leapfrog alternating direction implicit finite difference time domain method; lumped elements; unconditional stability analysis; von Neumann method; Capacitors; Finite difference methods; Numerical stability; Polynomials; Stability criteria; Time domain analysis; Alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method; leapfrog; lumped element; one-step; unconditional stability;
Journal_Title :
Antennas and Wireless Propagation Letters, IEEE
DOI :
10.1109/LAWP.2012.2229456
