Surface Crouzeix‐Raviart element for the Bochner Laplacian equation
Abstract: Recently, a nonconforming finite element method has been derived for vector valued flow problems on the sphere. In the approach, the flow is approximated via edge integration through the Crouzeix‐Raviart element. The discretization is realized on local flat triangles which coincide with the surface of the sphere on the edge midpoints. In this contribution, we derive an energy error estimate for this discretization that takes into account the geometric error as well as the error to the solution of the partial differential equation. The analysis is performed for a vector Laplace problem which includes covariant derivatives of tangential vector fields. The latter are closely related to operators that occur in flow problems on the surface.
- 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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Surface Crouzeix‐Raviart element for the Bochner Laplacian equation ; day:19 ; month:09 ; year:2023 ; extent:8
Proceedings in applied mathematics and mechanics ; (19.09.2023) (gesamt 8)
- Creator
- DOI
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10.1002/pamm.202300207
- URN
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urn:nbn:de:101:1-2023092015361102411607
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:51 AM CEST
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Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
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