97-19   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Carsten Carstensen:

Weighted Clement-type interpolation and a posteriori analysis for FEM

One of the main mathematical tools in the residual based a posteriori error analysis is a weak interpolation operator due to Clement. Based on a partition of unity, we introduce a modified weak interpolation operator which enjoys a further orthogonality property. As a consequence, the volume contribution in standard residual based a posteriori error estimates can be replaced by a smaller one which is generically of higher order, and so neglectible. We show applications to model problems for conform, non-conform, and mixed finite element methods.

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

Keywords: a posteriori error estimates, adaptive algorithm, reliability, mixed finite element method, non-conform finite element method

Mail an Jens Burmeister
[Thu Feb 19 18:56:34 2009]
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