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Stability of Discontinuous Galerkin Spectral Element Schemes for Wave Propagation when the Coefficient Matrices have Jumps

We use the behavior of the [Formula: see text] norm of the solutions of linear hyperbolic equations with discontinuous coefficient matrices as a surrogate to infer stability of discontinuous Galerkin spectral element methods (DGSEM). Although the [Formula: see text] norm is not bounded in terms of t...

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Detalles Bibliográficos
Autores principales: Kopriva, David A., Gassner, Gregor J., Nordström, Jan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550655/
https://www.ncbi.nlm.nih.gov/pubmed/34776602
http://dx.doi.org/10.1007/s10915-021-01516-w