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Spectral properties of discontinuous Galerkin operators

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Part of the Texts in Applied Mathematics book series (TAM,volume 54)

In the preceding chapters, we have developed schemes and discussed basic properties such as stability and convergence. We have not, however, discussed the spectral properties of the operators apart from the discussion of the numerical dispersion relations in Section 4.6. In that discussion it became clear that the eigenvalues of the operators play a key role when determining the properties of the discrete operators and, thus, the behavior of the scheme.

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(2008). Spectral properties of discontinuous Galerkin operators. In: Nodal Discontinuous Galerkin Methods. Texts in Applied Mathematics, vol 54. Springer, New York, NY. https://doi.org/10.1007/978-0-387-72067-8_8

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