Numerical stability of finite difference time domain methods. Thoma, P. & Weiland, T. IEEE Transactions on Magnetics, 34(5):2740–2743, IEEE, September, 1998.
doi  abstract   bibtex   
Recently, several modifications of Yee's well known FDTD method to locally refined grids or non-orthogonal coordinates have been presented. These methods sometimes show an unexpected unstable behavior. In this paper we will classify such instabilities in order to derive rules how to avoid them. As an example, we present a long term numerically stable subgridding scheme which will be examined by regarding a microstrip phase shifter
@Article{         Thoma_1998aa,
  abstract      = {Recently, several modifications of Yee's well known FDTD method to locally refined grids or non-orthogonal coordinates have been presented. These methods sometimes show an unexpected unstable behavior. In this paper we will classify such instabilities in order to derive rules how to avoid them. As an example, we present a long term numerically stable subgridding scheme which will be examined by regarding a microstrip phase shifter},
  author        = {Thoma, Peter and Weiland, Thomas},
  doi           = {10.1109/20.717636},
  issn          = {0018-9464},
  journal       = {IEEE Transactions on Magnetics},
  keywords      = {fdtd,stability,fit},
  langid        = {english},
  month         = sep,
  number        = {5},
  pages         = {2740--2743},
  publisher     = {IEEE},
  title         = {Numerical stability of finite difference time domain methods},
  volume        = {34},
  year          = {1998},
  shortjournal  = {IEEE Trans. Magn.}
}

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