Robust design of initial boundary value problems

Jan Nordström, Markus Wahlsten

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


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.

Original languageEnglish
Title of host publicationNotes on Numerical Fluid Mechanics and Multidisciplinary Design
PublisherSpringer Verlag
Number of pages16
Publication statusPublished - 2019
Externally publishedYes

Publication series

NameNotes on Numerical Fluid Mechanics and Multidisciplinary Design
ISSN (Print)1612-2909


  • Hyperbolic systems
  • Incompletely parabolic systems
  • Initial boundary value problems
  • Robust design
  • Stochastic data
  • Uncertainty quantification
  • Variance reduction

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes


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