ADI-FDTDMethod for Two-Dimensional Transient Electromagnetic Problems  

作　　者：Wanshan Li Yile Zhang Yau Shu Wong Dong Liang 

机构地区：[1]School of Mathematics,Shandong University,Jinan 250199,P.R.China [2]Department of Mathematical and Statistical Sciences,University of Alberta,Edmonton,AB,T6G 2G1,Canada [3]Department of Mathematics and Statistics,York University,Toronto,ON,M3J 1P3,Canada

出　　处：《Communications in Computational Physics》2016年第1期94-123,共30页计算物理通讯（英文）

基　　金：research was supported in part by the Natural Sciences and Engineering Research Council of Canada;Wanshan Liwas supported by the China Scholarship Coun-cil for her visit to the University of Alberta,and Dong Liang would like to acknowledge the partial support by the Natural Science Foundation of China under grant 11271232.

摘　　要：An efficient and accurate numerical scheme is proposed for solving the transverse electric(TE)mode electromagnetic(EM)propagation problemin two-dimensional earth.The scheme is based on the alternating direction finite-difference time-domain(ADI-FDTD)method.Unlike the conventional upward continuation approach for the earth-air interface,an integral formulation for the interface boundary is developed and it is effectively incorporated to the ADI solver.Stability and convergence analysis together with an error estimate are presented.Numerical simulations are carried out to validate the proposed method,and the advantage of the present method over the popular Du-Fort-Frankel scheme is clearly demonstrated.Examples of the electromagnetic field propagation in the ground with anomaly further verify the effectiveness of the proposed scheme.

关 键 词：ADI-FDTD interface boundary stability and convergence analysis 

分 类 号：O17[理学—数学]