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| 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 |
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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.
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Received: 16 June 2009
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Corresponding Authors:
Liu Guo-sheng
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2010, Vol. 32 
