00-13   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Carsten Carstensen, Sören Bartels, Stefan Jansche:

A posteriori error estimates for nonconforming finite element methods

Computable a posteriori error bounds for a large class of nonconforming finite element methods are provided for a model Poisson-problem in two and three space dimensions. Besides a refined residual-based a posteriori error estimate an averaging estimator is established and an L2-estimate is included. The a posteriori error estimates are reliable and efficient; the proof of reliability relies on a Helmholtz decomposition.

Mathematics Subject Classification (1991): 65N30, 65R20, 73C50

Keywords: Crouzeix-Raviart element, nonconforming finite element method, a posteriori error estimates, adaptive algorithm, reliability, efficiency

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[Thu Feb 19 18:56:35 2009]
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