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.
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
-
Online-Ressource
- Sprache
-
Englisch
- Erschienen in
-
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)
- Urheber
- DOI
-
10.1002/pamm.202300207
- URN
-
urn:nbn:de:101:1-2023092015361102411607
- Rechteinformation
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
-
14.08.2025, 10:51 MESZ
Datenpartner
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
Ähnliche Objekte (12)
Bochner Laplacian and Bergman kernel expansion of semipositive line bundles on a Riemann surface
Berezin-Toeplitz quantization for eigenstates of the Bochner-Laplacian on symplectic manifolds
Laplacian surface editing
Weak solutions for p -Laplacian equation
The Lichnerowicz Laplacian Acting on Symmetric Tensor Fields — The Bochner Technique Point of View
Bochner, Alexander
Mel Bochner
Linear convergence of an adaptive finite element method for the p-Laplacian equation
Bochner, Simon (Kaufmann)
Bochner, Karl Chaim
Abgangszeugnis Benno Bochner
Symmetry results for the p (x)-Laplacian equation
Bochner Laplacian and Bergman kernel expansion of semipositive line bundles on a Riemann surface
Berezin-Toeplitz quantization for eigenstates of the Bochner-Laplacian on symplectic manifolds
Laplacian surface editing
Weak solutions for p -Laplacian equation
The Lichnerowicz Laplacian Acting on Symmetric Tensor Fields — The Bochner Technique Point of View
Bochner, Alexander
Mel Bochner
Linear convergence of an adaptive finite element method for the p-Laplacian equation
Bochner, Simon (Kaufmann)
Bochner, Karl Chaim
Abgangszeugnis Benno Bochner
Symmetry results for the p (x)-Laplacian equation
Bochner Laplacian and Bergman kernel expansion of semipositive line bundles on a Riemann surface
Berezin-Toeplitz quantization for eigenstates of the Bochner-Laplacian on symplectic manifolds
Laplacian surface editing
Weak solutions for p -Laplacian equation
The Lichnerowicz Laplacian Acting on Symmetric Tensor Fields — The Bochner Technique Point of View
Bochner, Alexander
Mel Bochner
Linear convergence of an adaptive finite element method for the p-Laplacian equation
Bochner, Simon (Kaufmann)
Bochner, Karl Chaim
Abgangszeugnis Benno Bochner