Stability of ALE space-time discontinuous Galerkin method

Vlasák, Miloslav; Balázsová, Monika; Feistauer, Miloslav

  • Proceedings of Equadiff 14, Publisher: Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing(Bratislava), page 237-246

Abstract

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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.

How to cite

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Vlasák, Miloslav, Balázsová, Monika, and Feistauer, Miloslav. "Stability of ALE space-time discontinuous Galerkin method." Proceedings of Equadiff 14. Bratislava: Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, 2017. 237-246. <http://eudml.org/doc/294948>.

@inProceedings{Vlasák2017,
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.},
author = {Vlasák, Miloslav, Balázsová, Monika, Feistauer, Miloslav},
booktitle = {Proceedings of Equadiff 14},
keywords = {ALE formulation, discontinuous Galerkin method, discrete characteristic function, stability},
location = {Bratislava},
pages = {237-246},
publisher = {Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing},
title = {Stability of ALE space-time discontinuous Galerkin method},
url = {http://eudml.org/doc/294948},
year = {2017},
}

TY - CLSWK
AU - Vlasák, Miloslav
AU - Balázsová, Monika
AU - Feistauer, Miloslav
TI - Stability of ALE space-time discontinuous Galerkin method
T2 - Proceedings of Equadiff 14
PY - 2017
CY - Bratislava
PB - Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing
SP - 237
EP - 246
AB - 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.
KW - ALE formulation, discontinuous Galerkin method, discrete characteristic function, stability
UR - http://eudml.org/doc/294948
ER -

References

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