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On conservation and stability properties for summation-by-parts schemes
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-7972-6183
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.
2017 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 344, 14 p.451-464 p.Article in journal (Refereed) Published
Abstract [en]

We discuss conservative and stable numerical approximations in summation-by-parts form for linear hyperbolic problems with variable coefficients. An extended setting, where the boundary or interface may or may not be included in the grid, is considered. We prove that conservative and stable formulations for variable coefficient problems require a boundary and interface conforming grid and exact numerical mimicking of integration-by-parts. Finally, we comment on how the conclusions from the linear analysis carry over to the nonlinear setting.

Place, publisher, year, edition, pages
2017. Vol. 344, 14 p.451-464 p.
Keyword [en]
Hyperbolic problems Summation-by-parts Boundary conditions Interface conditions Stability Conservation
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-137544DOI: 10.1016/j.jcp.2017.05.002ISI: 000402481300023OAI: oai:DiVA.org:liu-137544DiVA: diva2:1097011
Note

Funding agencies: VINNOVA [2013-01209]

Available from: 2017-05-21 Created: 2017-05-21 Last updated: 2017-06-19

Open Access in DiVA

The full text will be freely available from 2019-05-15 17:05
Available from 2019-05-15 17:05

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