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An experimental survey of a posteriori Courant finite element error control for the Poisson equation

Carsten CarstensenContact Information, Sören BartelsContact Information and Roland KloseContact Information

(1) Institute for Applied Mathematics and Numerical Analysis, Vienna University of Technology, Wiedner Hauptstraße 8-10/115, A-1040 Vienna, Austria
(2) Mathematisches Seminar, Christian-Albrechts-Universität zu Kiel, Ludewig-Meyn-Str. 4, D-24098 Kiel, Germany

Abstract  This comparison of some a posteriori error estimators aims at empirical evidence for a ranking of their performance for a Poisson model problem with conforming lowest order finite element discretizations. Modified residual-based error estimates compete with averaging techniques and two estimators based on local problem solving. Multiplicative constants are involved to achieve guaranteed upper and lower energy error bounds up to higher order terms. The optimal strategy combines various estimators.

finite element methods -  a posteriori error estimates


Contact InformationCarsten Carstensen
Email: carsten.carstensen@tuwien.ac.at

Contact InformationSören Bartels
Email: sba@numerik.uni-kiel.de

Contact InformationRoland Klose
Email: rkl@numerik.uni-kiel.de
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