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A Polynomial Spectral Calculus for Analysis of DG Spectral Element Methods

Lecture Notes in Computational Science and Engineering (2017) 119 21-40
DOI: 10.1007/978-3-319-65870-4_2
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Abstract

We introduce a polynomial spectral calculus that follows from the summation by parts property of the Legendre-Gauss-Lobatto quadrature. We use the calculus to simplify the analysis of two multidimensional discontinuous Galerkin spectral element approximations.

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Kopriva, D. A. (2017). A Polynomial Spectral Calculus for Analysis of DG Spectral Element Methods. In Lecture Notes in Computational Science and Engineering (Vol. 119, pp. 21–40). Springer Verlag. https://doi.org/10.1007/978-3-319-65870-4_2

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