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An analysis of non-conforming grid techniques for high order summation-by-parts metods
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-7972-6183
2017 (English)Report (Other academic)
Abstract [en]

We derive a bound on the order of accuracy of interpolation operators for energy stable summation-by-parts discretizations on non-conforming multiblock meshes. The new theoretical result, which corroborate with experience from previous work, implies a local reduction in the formal accuracy of summation-by-parts discretizations based on diagonal norms. Numerical results confirm a corresponding reduction in convergence rate in both the maximum norm and the discrete L2 norm for a hyperbolic model problem.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2017. , p. 29
Series
LiTH-MAT-R, ISSN 0348-2960 ; 2017:2
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-134059ISRN: LiTH-MAT-R--2017/02--SEOAI: oai:DiVA.org:liu-134059DiVA, id: diva2:1067271
Available from: 2017-01-20 Created: 2017-01-20 Last updated: 2017-01-26Bibliographically approved

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf