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A stable interpolation technique for FDTD on non-orthogonal grids

✍ Scribed by R. Schuhmann; T. Weiland

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
131 KB
Volume
11
Category
Article
ISSN
0894-3370

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✦ Synopsis

The application of the FDTD algorithm on generalized non-orthogonal meshes, following the basic ideas of Holland (1983), has been investigated by many authors for several years now, and detailed dispersion analysis as well as convergence studies have been published. Already in 1992 also a general stability criterion was given for the time integration using the standard leap-frog scheme (Lee et al.). Many authors, however, still propose some damped time stepping algorithms to work around unexpected instabilities in the discretization method. In this paper the origin of this type of instability is revealed, and a technique to obtain a stable discretization of Maxwell's equations on non-orthogonal grids is proposed. To obtain more insight into the stability properties of the method, it is reformulated according to the matrix-vector notation of the Finite Integration Technique.

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