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Robust Design of Initial Boundary Value 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.
2019 (English)In: Uncertainty Management for Robust Industrial Design in Aeronautics: Findings and Best Practice Collected During UMRIDA, a Collaborative Research Project (2013–2016) Funded by the European Union / [ed] Hirsch, C.; Wunsch, D.; Szumbarski, J.; Łaniewski-Wołłk, Ł.; Pons-Prats, J., Springer, 2019, p. 463-478Chapter in book (Refereed)
Abstract [en]

We study hyperbolic and incompletely parabolic systems with stochastic boundary and initial data. Estimates of the variance of the solution are presented both analytically and numerically. It is shown that one can reduce the variance for a given input, with a specific choice of boundary condition. The technique is applied to the Maxwell, Euler, and Navier–Stokes equations. Numerical calculations corroborate the theoretical conclusions.

Place, publisher, year, edition, pages
Springer, 2019. p. 463-478
Series
Notes on Numerical Fluid Mechanics and Multidisciplinary Design, ISSN 1612-2909, E-ISSN 1860-0824 ; 140
Keywords [en]
Uncertainty quantification, Hyperbolic systems, Incompletely parabolic systems, Initial boundary value problems, Stochastic data, Variance reduction, Robust design
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-150373DOI: 10.1007/978-3-319-77767-2_29ISBN: 9783319777672 (electronic)ISBN: 9783319777665 (print)OAI: oai:DiVA.org:liu-150373DiVA, id: diva2:1240368
Available from: 2018-08-21 Created: 2018-08-21 Last updated: 2018-08-21

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Nordström, JanWahlsten, Markus

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CiteExportLink to record
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Citation style
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