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Numerical dispersion of a vector finite element method on skewed hexahedral grids

✍ Scribed by White, Daniel A.


Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
99 KB
Volume
16
Category
Article
ISSN
1069-8299

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✦ Synopsis


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 ÿnite 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.