97-6   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Carsten Carstensen, Rüdiger Verfürth:

Edge residuals dominate a posteriori error estimates for low order finite element methods

We prove that, up to higher oder perturbation terms, edge residuals yield global upper and local lower bounds on the error of linear finite element methods both in H1- and L2-norms. We present two proofs: one uses the standard L2-projection, the other one relies on a new, weighted Clement type interpolation operator.

Mathematics Subject Classification (1991): 65N30, 65N15, 65J15, 65R20

Bibliographical note: SIAM J. Numer. Anal 36 (5) (1999) 1571-1587.

Keywords: A posteriori error estimators, edge residuals, low order finite elements

Mail an Jens Burmeister
[Thu Feb 19 18:56:33 2009]
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