Strong norm error bounds for quasilinear wave equations under weak CFL-type conditions
Karlsruher Institut für Technologie (KIT), 2022
Online
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Zugriff:
In the present paper we consider a class of quasilinear wave equations on a smooth, bounded domain. We discretize it in space with isoparametric finite elements, and apply a semi-implicit Euler and midpoint rule as well as the exponential Euler method to obtain three fully discrete schemes. We derive rigorous error bounds of optimal order for the semi-discretization in space and the fully discrete methods in norms which are stronger than the classical $H^1\times L^2$ energy norm under weak CFL-type conditions.
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Strong norm error bounds for quasilinear wave equations under weak CFL-type conditions
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Autor/in / Beteiligte Person: | Dörich, Benjamin |
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Veröffentlichung: | Karlsruher Institut für Technologie (KIT), 2022 |
Medientyp: | unknown |
ISSN: | 2365-662X (print) |
DOI: | 10.5445/ir/1000151366 |
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