New Energy Analysis of ADI-FDTD for the Two Dimensional Maxwell Equations

被引：2

作者：

Gao, Liping ^{[1
]}

机构：

[1] China Univ Petr, Dept Computat & Appl Math, Sch Sci, Qingdao 266580, Peoples R China

来源：

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2012年 / 60卷 / 11期

关键词：

Alternating direction implicit finite-difference time-domain ADI-FDTD); energy conservation; Maxwell equations; stability; NUMERICAL DISPERSION; ALGORITHM; MEDIA;

D O I：

10.1109/TAP.2012.2207674

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Several new energy identities of the 2D Maxwell equations with the perfectly electric conducting boundary conditions are first proposed and proved by the energy methods. Then, the energy identities of the 2D ADI-FDTD method in the discrete L-2 and H-1 norms are derived. By these identities it is proved that the 2D ADI-FDTD method is unconditionally stable and energy conserved in the discrete L-2 and H-1 norms. Numerical experiments are carried out and confirm the analysis on stability and energy conservation.

引用

页码：5468 / 5471

页数：4

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