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Y. Hao, V. Douvalis and C. G. Parini, “Reduction of Late Time Instabilities of the Finite Difference Time Domain Method in Curvilinear Coordinates,” IEE Proceedings, Part A, Science, Measurement and Technology, Vol. 149, No. 5, September 2002, pp. 267-272.

has been cited by the following article:

• TITLE: Generalized Alternating-Direction Implicit Finite-Difference Time-Domain Method in Curvilinear Coordinate System

  AUTHORS: Wei Song, Yang Hao

  KEYWORDS: Alternating Direction Implicit Technique, Numerical Instability, Nonorthogonal FDTD

  JOURNAL NAME: Journal of Electromagnetic Analysis and Applications, Vol.2 No.5, June 2, 2010

  ABSTRACT: In this paper, a novel approach is introduced towards an efficient Finite-Difference Time-Domain (FDTD) algorithm by incorporating the Alternating Direction Implicit (ADI) technique to the Nonorthogonal FDTD (NFDTD) method. This scheme can be regarded as an extension of the conventional ADI-FDTD scheme into a generalized curvilinear coordinate system. The improvement on accuracy and the numerical efficiency of the ADI-NFDTD over the conventional nonorthogonal and the ADI-FDTD algorithms is carried out by numerical experiments. The application in the modelling of the Electromagnetic Bandgap (EBG) structure has further demonstrated the advantage of the proposed method.