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Error boundedness of discontinuous Galerkin spectral element approximations of hyperbolic problems
Department of Mathematics, The Florida State University, Tallahassee, USA.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-7972-6183
Mathematisches Institut, Universität zu Köln, Weyertal 86-90, Köln, Germany.
2016 (English)Report (Other academic)
Abstract [en]

We examine the long time error behavior of discontinuous Galerkin spectral element approximations to hyperbolic equations. We show that the choice of numerical flux at interior element boundaries affects the growth rate and asymptotic value of the error. Using the upwind flux, the error reaches the asymptotic value faster, and to a lower value than a central flux gives, especially for low resolution computations. The differences in the error caused by the numerical flux choice decrease as the solution becomes better resolved.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2016. , 17 p.
LiTH-MAT-R, ISSN 0348-2960 ; 2016:13
Keyword [en]
Discontinuous Galerkin spectral element method, energy stability, error growth, error bound, hyperbolic problems
National Category
Computational Mathematics Mathematics
URN: urn:nbn:se:liu:diva-130915OAI: diva2:956664
Available from: 2016-08-31 Created: 2016-08-31 Last updated: 2016-10-18Bibliographically approved

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Error Boundedness of Discontinuous Galerkin Spectral Element Approximations of Hyperbolic Problems(1047 kB)42 downloads
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Nordström, Jan
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