• Medientyp: Sonstige Veröffentlichung; Bericht; E-Book
  • Titel: Pressure-robustness in the context of optimal control
  • Beteiligte: Merdon, Christian [Verfasser:in]; Wollner, Winnifried [Verfasser:in]
  • Erschienen: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2022
  • Sprache: Englisch
  • DOI: https://doi.org/10.20347/WIAS.PREPRINT.2923
  • Schlagwörter: 65N15 ; article ; 76D07
  • Entstehung:
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  • Beschreibung: This paper studies the benefits of pressure-robust discretizations in the scope of optimal control of incompressible flows. Gradient forces that may appear in the data can have a negative impact on the accuracy of state and control and can only be correctly balanced if their L2-orthogonality onto discretely divergence-free test functions is restored. Perfectly orthogonal divergence-free discretizations or divergence-free reconstructions of these test functions do the trick and lead to much better analytic a priori estimates that are also validated in numerical examples.
  • Zugangsstatus: Freier Zugang