Pressure‐robustness for the Stokes equations on anisotropic meshes

Abstract: Pressure‐robustness has been widely studied since the conception of the notion and the introduction of the reconstruction approach for classical mixed methods in [1]. Using discretizations capable of yielding velocity solutions that are independent of the pressure approximation has been recognized as essential, and a large number of recent articles attest to this fact, e.g., [2, 3]. Apart from the pressure‐robustness aspect, incompressible flows exhibit anisotropic phenomena in the solutions which can be dealt with by using anisotropic mesh grading. The recent publications [4,5] deal with the combination of both challenges. We briefly revisit the results from [4] and provide an insightful new numerical example.

Standort
Deutsche Nationalbibliothek Frankfurt am Main
Umfang
Online-Ressource
Sprache
Englisch

Erschienen in
Pressure‐robustness for the Stokes equations on anisotropic meshes ; volume:21 ; number:1 ; year:2021 ; extent:2
Proceedings in applied mathematics and mechanics ; 21, Heft 1 (2021) (gesamt 2)

Urheber
Kempf, Volker

DOI
10.1002/pamm.202100112
URN
urn:nbn:de:101:1-2021121514075205851499
Rechteinformation
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Letzte Aktualisierung
15.08.2025, 07:38 MESZ

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Beteiligte

  • Kempf, Volker

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