Abstract
The numerical dispersion relation is an important measure of the discretization error inherent in grid-based numerical methods for solving Maxwell's equations. In this paper we calculate the numerical dispersion of a vector finite element method for the case of a distorted three-dimensional hexahedral grid. The main result is that the numerical dispersion relation remains second-order accurate as the grid is distorted, although the dispersion becomes quite anisotropic. Published in 2000 by John Wiley & Sons, Ltd.
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