Study for the Numerical Properties of the Higher-Order LOD-FDTD Methods
Liu Guo-sheng①; Zhang Guo-ji②
①School of Computer Science and Engineering, South China University of Technology, Guangzhou 510641, China; ②Department of Mathematics, South China University of Technology, Guangzhou 510641, China
Abstract：In this paper, the numerical properties of higher-order Locally One Dimensionally Finite-Difference Time-Domain (LOD-FDTD) are investigated, i.e. stability, numerical dispersion, and convergence. The universal formulas of the amplitude factor and the numerical dispersion relationship are derived for 3D varying-order LOD-FDTD, and their unconditional stability is analytically proved. Based on this universal formula, the numerical convergence of this class of methods is discussed, and the convergence condition is presented for the first time. Numerical results in calculating the resonant frequency show that, higher-order methods can achieve better performance while not dramatically increasing computational time.
刘国胜; 张国基. 高阶LOD-FDTD方法的数值特性研究[J]. 电子与信息学报, 2010, 32(6): 1384-1388 .
Liu Guo-sheng①; Zhang Guo-ji②. Study for the Numerical Properties of the Higher-Order LOD-FDTD Methods. , 2010, 32(6): 1384-1388 .
2010, Vol. 32 
