Splitting Finite Difference Methods on Staggered Grids for the Three-Dimensional Time-Dependent Maxwell Equations  

作　　者：Liping Gao Bo Zhang Dong Liang 

机构地区：[1]School of Mathematical Sciences,Shandong Normal University,Jinan 250014,China. [2]Institute of Applied Mathematics,Chinese Academy of Sciences,Beijing 100080,China. [3]Department of Mathematics and Statistics,York University,4700 Keele Street,Toronto,Ontario M3J 1P3,Canada

出　　处：《Communications in Computational Physics》2008年第7期405-432,共28页计算物理通讯（英文）

摘　　要：In this paper,we study splitting numerical methods for the three-dimensional Maxwell equations in the time domain.We propose a new kind of splitting finitedifference time-domain schemes on a staggered grid,which consists of only two stages for each time step.It is proved by the energy method that the splitting scheme is unconditionally stable and convergent for problems with perfectly conducting boundary conditions.Both numerical dispersion analysis and numerical experiments are also presented to illustrate the efficiency of the proposed schemes.

关 键 词：Splitting scheme alternating direction implicit method finite-difference time-domain method stability CONVERGENCE Maxwell’s equations perfectly conducting boundary 

分 类 号：O17[理学—数学]