Stability of ALE space-time discontinuous Galerkin method

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Miloslav Vlasák Monika Balázsová Miloslav Feistauer

Abstract

We assume the heat equation in a time dependent domain, where the evolution of the domain is described by a given mapping. The problem is discretized by the discontinuous Galerkin (DG) method in space as well as in time with the aid of Arbitrary Lagrangian-Eulerian (ALE) method. The sketch of the proof of the stability of the method is shown.

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How to Cite
Vlasák, M., Balázsová, M., & Feistauer, M. (2017). Stability of ALE space-time discontinuous Galerkin method. Proceedings Of Equadiff 2017 Conference, , 237-246. Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/equadiff/article/view/805/568
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