Energy Identities of ADI-FDTD Method with Periodic Structure  

作　　者：Rengang Shi Haitian Yang 

机构地区：[1]Department of Applied Mathematics, Dalian University of Technology, Dalian, China [2]College of Science, China University of Petroleum, Qingdao, China [3]Department of Engineering Mechanics, Dalian University of Technology, Dalian, China

出　　处：《Applied Mathematics》2015年第2期265-273,共9页应用数学（英文）

摘　　要：In this paper, a new kind of energy identities for the Maxwell equations with periodic boundary conditions is proposed and then proved rigorously by the energy methods. By these identities, several modified energy identities of the ADI-FDTD scheme for the two dimensional (2D) Maxwell equations with the periodic boundary conditions are derived. Also by these identities it is proved that 2D-ADI-FDTD is approximately energy conserved and unconditionally stable in the discrete L2 and H1 norms. Experiments are provided and the numerical results confirm the theoretical analysis on stability and energy conservation.In this paper, a new kind of energy identities for the Maxwell equations with periodic boundary conditions is proposed and then proved rigorously by the energy methods. By these identities, several modified energy identities of the ADI-FDTD scheme for the two dimensional (2D) Maxwell equations with the periodic boundary conditions are derived. Also by these identities it is proved that 2D-ADI-FDTD is approximately energy conserved and unconditionally stable in the discrete L2 and H1 norms. Experiments are provided and the numerical results confirm the theoretical analysis on stability and energy conservation.

关 键 词：Stability ENERGY CONSERVATION ADI-FDTD MAXWELL EQUATIONS 

分 类 号：O1[理学—数学]