Pressure‐robust and conforming discretization of the Stokes equations on anisotropic meshes
Abstract: Pressure‐robust discretizations for incompressible flows have been in the focus of research for the past years. Many publications construct exactly divergence‐free methods or use a reconstruction approach [13] for existing methods like the Crouzeix–Raviart element in order to achieve pressure‐robustness. To the best of our knowledge, except for our recent publications [3, 4], all those articles impose a condition on the shape‐regularity of the mesh, and the two mentioned papers that allow for anisotropic elements use a non‐conforming velocity approximation. Based on the classical Bernardi–Raugel element we provide a conforming pressure‐robust discretization using the reconstruction approach on anisotropic meshes. Numerical examples support the theory.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Pressure‐robust and conforming discretization of the Stokes equations on anisotropic meshes ; volume:23 ; number:1 ; year:2023 ; extent:6
Proceedings in applied mathematics and mechanics ; 23, Heft 1 (2023) (gesamt 6)
- Creator
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Kempf, Volker
- DOI
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10.1002/pamm.202200096
- URN
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urn:nbn:de:101:1-2023060115183394183744
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:58 AM CEST
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Associated
- Kempf, Volker
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