An observation on Korn’s inequality for nonconforming finite element methods
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- by Kent-Andre Mardal and Ragnar Winther PDF
- Math. Comp. 75 (2006), 1-6 Request permission
Abstract:
By utilizing a simple observation on traces of rigid motions we are able to strengthen a result of Brenner (2004) on Korn’s inequality for nonconforming finite element methods. The approach here is tightly connected to the theory developed in Brenner’s work. Our motivation for the analysis was the desire to show that a robust Darcy–Stokes element satisfies Korn’s inequality, and to achieve this the stronger result seems necessary.References
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Additional Information
- Kent-Andre Mardal
- Affiliation: Department of Scientific Computing, Simula Research Laboratory and Department of Informatics, University of Oslo, P.O. Box 134, 1325 Lysaker, Norway
- Email: kent-and@simula.no
- Ragnar Winther
- Affiliation: Centre of Mathematics for Applications and Department of Informatics, University of Oslo, P.O. Box 1053, Blindern, 0316 Oslo, Norway
- MR Author ID: 183665
- Email: ragnar.winther@cma.uio.no
- Received by editor(s): October 11, 2004
- Received by editor(s) in revised form: November 27, 2004
- Published electronically: October 21, 2005
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Math. Comp. 75 (2006), 1-6
- MSC (2000): Primary 65N30, 74S05
- DOI: https://doi.org/10.1090/S0025-5718-05-01783-7
- MathSciNet review: 2176387