On the pressure Poisson equation for the Stokes system
Abstract: For the numerical solution of the pressure Poisson equation, we consider an ultra–weak variational formulation and a related finite element method of Galerkin–Petrov type. While this allows a piecewise constant approximation of the pressure, the test functions have to be sufficiently smooth – in particular, we use modified B–splines of second order to guarantee conformity and stability, and optimal convergence. This novel formulation allows the computation of the pressure from either a given, measured, or precomputed velocity field as it appears in many applications in fluid mechanics.
- 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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On the pressure Poisson equation for the Stokes system ; volume:19 ; number:1 ; year:2019 ; extent:2
Proceedings in applied mathematics and mechanics ; 19, Heft 1 (2019) (gesamt 2)
- Creator
- DOI
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10.1002/pamm.201900425
- URN
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urn:nbn:de:101:1-2022072208125918696607
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:34 AM CEST
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Associated
- Pacheco, Douglas R. Q.
- Steinbach, Olaf
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