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Well-Posedness, Stability and Conservation for a Discontinuous Interface Problem: An Initial Investigation
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
2015 (English)In: Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Springer, 2015, 147-155 p.Chapter in book (Refereed)
Abstract [en]

A robust interface treatment for the discontinuous coefficient advection equation satisfying time-independent jump conditions is presented. The aim of the investigation is to show how the different concepts like well-posedness, conservation and stability are related. The equations are discretized using high order finite difference methods on Summation By Parts (SBP) form. The interface conditions are weakly imposed using the Simultaneous Approximation Term (SAT) procedure. Spectral analysis and numerical simulations corroborate the theoretical findings.

Place, publisher, year, edition, pages
Springer, 2015. 147-155 p.
Series
Lecture Notes in Computational Science and Engineering, 106
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-123114DOI: 10.1007/978-3-319-19800-2_11ISI: 000368440400011ISBN: 978-3-319-19799-9 (print)ISBN: 978-3-319-19800-2 (print)OAI: oai:DiVA.org:liu-123114DiVA: diva2:876593
Available from: 2015-12-04 Created: 2015-12-04 Last updated: 2016-02-15Bibliographically approved

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Well-Posedness, Stability and Conservation for a Discontinuous Interface Problem: An Initial Investigation(172 kB)101 downloads
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La Cognata, CristinaNordström, Jan
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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • 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