Change search
ReferencesLink to record
Permanent link

Direct link
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.
Series
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
Identifiers
URN: urn:nbn:se:liu:diva-130915OAI: oai:DiVA.org:liu-130915DiVA: diva2:956664
Available from: 2016-08-31 Created: 2016-08-31 Last updated: 2016-09-28Bibliographically approved

Open Access in DiVA

Error Boundedness of Discontinuous Galerkin Spectral Element Approximations of Hyperbolic Problems(1047 kB)36 downloads
File information
File name FULLTEXT01.pdfFile size 1047 kBChecksum SHA-512
a54eb485850823e11c26b450dbfa9cd3f51b6e7d02e035ea895d56d87f98b2120137e7d7e12dcf508bcaac15c5d459e06eb8b87784d55e4ead273aeca8faa164
Type fulltextMimetype application/pdf

Search in DiVA

By author/editor
Nordström, Jan
By organisation
Computational MathematicsFaculty of Science & Engineering
Computational MathematicsMathematics

Search outside of DiVA

GoogleGoogle Scholar
Total: 36 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 44 hits
ReferencesLink to record
Permanent link

Direct link