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A simple nonconforming bilinear element for the elasticity problem
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
2001 (English)In: Trends in computational structural mechanics / [ed] W Wall; K -U Bletzinger; K Schweizerhof, BARCELONA: INT CENTER NUMERICAL METHODS ENGINEERING , 2001, 317-327 p.Conference paper, (Other academic)
Abstract [en]

We look at the mixed non-conforming Rannacher-Turek (RT) element from the point of view of discontinuous Galerkin methods. In the case of the elasticity operator, for which the RT element is not stable in that it does not (in general) fulfill a discrete horn's inequality, the discontinuous framework naturally suggests the appearance of (weakly consistent) stabilization terms. We thus obtain a modifed, stable and locking free, version of the RT element for the elasticity problem. We also give some implementation aspects of the element. Numerical results are included.

Place, publisher, year, edition, pages
BARCELONA: INT CENTER NUMERICAL METHODS ENGINEERING , 2001. 317-327 p.
Keyword [en]
nonconforming element, Nitsche's method, discontinuous finite element method, incompressible problems
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hj:diva-15852ISI: 000177158300030ISBN: 9788489925779 (print)OAI: oai:DiVA.org:hj-15852DiVA: diva2:440287
Conference
International Conference on Trends in Computational Structural Mechanics, May 20-23, 2001 at Schlooss Hofen, Lake Constance/ Austria
Note
Peter Hansbo eg. Chalmers University of TechnologyAvailable from: 2011-09-12 Created: 2011-08-16 Last updated: 2012-02-07Bibliographically approved

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  • apa
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