An Application of Discrete Differential Geometry to the Spectral Element Method

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Publication Year
2011
Copyright
© 2011 Oud, G.T.
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Abstract

The thesis describes how differential geometry and algebraic topology together can be applied to an existing numerical method. After some introduction, the central idea is explained, after which a chapter is devoted to error approximation of the method. Finally, a 1D application is completely written out and the results are analysed.

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