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Volume 19, Issue 1
ADI-FDTD Method for Two-Dimensional Transient Electromagnetic Problems

Wanshan Li, Yile Zhang, Yau Shu Wong & Dong Liang

Commun. Comput. Phys., 19 (2016), pp. 94-123.

Published online: 2018-04

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  • Abstract

An efficient and accurate numerical scheme is proposed for solving the transverse electric (TE) mode electromagnetic (EM) propagation problem in 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.

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@Article{CiCP-19-94, author = {Wanshan Li, Yile Zhang, Yau Shu Wong and Dong Liang}, title = {ADI-FDTD Method for Two-Dimensional Transient Electromagnetic Problems}, journal = {Communications in Computational Physics}, year = {2018}, volume = {19}, number = {1}, pages = {94--123}, abstract = {

An efficient and accurate numerical scheme is proposed for solving the transverse electric (TE) mode electromagnetic (EM) propagation problem in 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.160914.270315a}, url = {http://global-sci.org/intro/article_detail/cicp/11081.html} }
TY - JOUR T1 - ADI-FDTD Method for Two-Dimensional Transient Electromagnetic Problems AU - Wanshan Li, Yile Zhang, Yau Shu Wong & Dong Liang JO - Communications in Computational Physics VL - 1 SP - 94 EP - 123 PY - 2018 DA - 2018/04 SN - 19 DO - http://doi.org/10.4208/cicp.160914.270315a UR - https://global-sci.org/intro/article_detail/cicp/11081.html KW - AB -

An efficient and accurate numerical scheme is proposed for solving the transverse electric (TE) mode electromagnetic (EM) propagation problem in 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.

Wanshan Li, Yile Zhang, Yau Shu Wong and Dong Liang. (2018). ADI-FDTD Method for Two-Dimensional Transient Electromagnetic Problems. Communications in Computational Physics. 19 (1). 94-123. doi:10.4208/cicp.160914.270315a
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