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M. Fusco, “FDTD Algorithm in Curvilinear Coordinates,” IEEE Transactions on Antennas and Propagation, Vol. 38, No. 1, January 1990, pp. 76-89.

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.