Entropy stable shock capturing space–time discontinuous Galerkin schemes for systems of conservation laws
dc.contributor.author
Hiltebrand, Andreas
dc.contributor.author
Mishra, Siddhartha
dc.date.accessioned
2021-05-13T13:39:20Z
dc.date.available
2017-06-11T15:35:39Z
dc.date.available
2021-05-13T13:39:20Z
dc.date.issued
2014-01
dc.identifier.issn
0029-599X
dc.identifier.issn
0945-3245
dc.identifier.other
10.1007/s00211-013-0558-0
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/96663
dc.identifier.doi
10.3929/ethz-b-000096663
dc.description.abstract
We present a streamline diffusion shock capturing spacetime discontinuous Galerkin (DG) method to approximate nonlinear systems of conservation laws in several space dimensions. The degrees of freedom are in terms of the entropy variables and the numerical flux functions are the entropy stable finite volume fluxes. We show entropy stability of the (formally) arbitrarily high order accurate method for a general system of conservation laws. Furthermore, we prove that the approximate solutions converge to the entropy measure valued solutions for nonlinear systems of conservation laws. Convergence to entropy solutions for scalar conservation laws and for linear symmetrizable systems is also shown. Numerical experiments are presented to illustrate the robustness of the proposed schemes.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
Springer
en_US
dc.rights.uri
http://rightsstatements.org/page/InC-NC/1.0/
dc.title
Entropy stable shock capturing space–time discontinuous Galerkin schemes for systems of conservation laws
en_US
dc.type
Journal Article
dc.rights.license
In Copyright - Non-Commercial Use Permitted
dc.date.published
2013-06-02
ethz.journal.title
Numerische Mathematik
ethz.journal.volume
126
en_US
ethz.journal.issue
1
en_US
ethz.journal.abbreviated
Numer. Math.
ethz.pages.start
103
en_US
ethz.pages.end
151
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.notes
It was possible to publish this article open access thanks to a Swiss National Licence with the publisher.
en_US
ethz.identifier.nebis
000051850
ethz.publication.place
Berlin
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics::03851 - Mishra, Siddhartha / Mishra, Siddhartha
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics::03851 - Mishra, Siddhartha / Mishra, Siddhartha
ethz.date.deposited
2017-06-11T15:35:51Z
ethz.source
ECIT
ethz.identifier.importid
imp593652d4ad6c860318
ethz.ecitpid
pub:151353
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2017-07-13T17:58:45Z
ethz.rosetta.lastUpdated
2022-03-29T07:25:04Z
ethz.rosetta.versionExported
true
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