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Variance reduction through robust design of boundary conditions for stochastic hyperbolic systems of equations
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.
2014 (English)Report (Other academic)
Abstract [en]

We consider a hyperbolic system in one space dimension with uncertainty in the boundary and initial data. Our aim is to show that di erent boundary conditions gives different convergence rates of the variance of the solution. This means that we can with the same knowledge of data get a more or less accurate description of the uncertainty in the solution. A variety of boundary conditions are compared and both analytical and numerical estimates of the variance of the solution is presented. As an application, we study the effect of this technique on a subsonic outow boundary for the Euler equations.

Place, publisher, year, edition, pages
Linköping University Electronic Press, 2014. , 38 p.
Series
LiTH-MAT-R, ISSN 0348-2960 ; 2014:03
Keyword [en]
Uncertainty quantification, hyperbolic system, initial boundary value problems, well posed, stability, boundary conditions, stochastic data, variance reduction, robust design, summation-by parts
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-104433ISRN: LiTH-MAT-R--2014/03--SEOAI: oai:DiVA.org:liu-104433DiVA: diva2:697009
Available from: 2014-02-17 Created: 2014-02-17 Last updated: 2014-02-20Bibliographically approved

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LiTH-MAT-R--2014/03--SE(1399 kB)125 downloads
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Nordström, JanWahlsten, Markus

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CiteExportLink to record
Permanent link

Direct link
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