Acceleration of convergence for eigenpairs approximated by means of non-conforming finite element methods

Authors:
Andrey B. Andreev;Milena R. Racheva
Affiliations:
Department of Informatics, Technical University of Gabrovo, Gabrovo, Bulgaria;Department of Mathematics, Technical University of Gabrovo, Gabrovo, Bulgaria
Venue:
LSSC'09 Proceedings of the 7th international conference on Large-Scale Scientific Computing
Year:
2009

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Abstract

Non-conforming finite elements are commonly used for app- roximating fourth-order eigenvalue problems in linear plate theory We derive error estimates for eigenpairs by nonconforming Zienkiewicz-type triangular elements We also propose a simple postprocessing method which improves the order of convergence of finite element eigenpairs Thus, an a posteriori analysis is presented by means of different triangular elements The technique applied is general It is illustrated and discussed by numerical results.