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Coupling Requirements for Well Posed and Stable Multi-physics Problems
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.
2015 (English)In: Coupled Problems in Science and Engineering VI, International Center for Numerical Methods in Engineering (CIMNE), 2015, 464-476 p.Conference paper, Published paper (Other academic)
Abstract [en]

We discuss well-posedness and stability of multi-physics problems by studying a model problem. By applying the energy method, boundary and interface conditions are derived such that the continuous and semi-discrete problem are well-posed and stable. The numerical scheme is implemented using high order finite difference operators on summation-by-parts (SBP) form and weakly imposed boundary and interface conditions. Numerical experiments involving a spectral analysis corroborate the theoretical findings.

Place, publisher, year, edition, pages
International Center for Numerical Methods in Engineering (CIMNE), 2015. 464-476 p.
Keyword [en]
multi-physics problem, well posed problems, stability, coupling procedure, high order nite dierences, summation-by-parts operatorsm, weak interface conditions
National Category
Computational Mathematics Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-118522ISI: 000380588500040ISBN: 978-84-943928-3-2 (print)OAI: oai:DiVA.org:liu-118522DiVA: diva2:815322
Conference
6th International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED PROBLEMS), San Servolo, Venice, Italy May 18 – 20, 2015
Available from: 2015-05-29 Created: 2015-05-29 Last updated: 2016-09-16

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Coupling Requirements for Well Posed and Stable Multi-physics Problems(454 kB)160 downloads
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Authority records BETA

Nordström, JanGhasemi Zinatabadi, Fatemeh

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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