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Well-posedness, Stability and Conservation for a Discontinuous Interface Problem
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, The Institute of Technology.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-7972-6183
2015 (English)Report (Other academic)
Abstract [en]

The advection equation is studied in a completely general two domain setting with different wave-speeds and a time-independent jump-condition at the interface separating the domains. Well-posedness and conservation criteria are derived for the initial-boundary-value problem. The equations are semidiscretized using afinite dfference method on summation-by-parts (SBP) form. The stability and conservation properties of the approximation are studied when the boundary and interface conditions are weakly imposed by the simultaneous approximation term (SAT) procedure. Numerical simulations corroborate the theoretical finndings.

Place, publisher, year, edition, pages
Linköping University Electronic Press, 2015. , 28 p.
Series
LiTH-MAT-R, ISSN 0348-2960 ; 2014:16
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-110921ISRN: LiTH-MAT-R--2014/16--SEOAI: oai:DiVA.org:liu-110921DiVA: diva2:750429
Available from: 2014-09-29 Created: 2014-09-29 Last updated: 2015-09-24

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Well-posedness, Stability and Conservation for a Discontinuous Interface Problem(1349 kB)91 downloads
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La Cognata, CristinaNordström, Jan

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • 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