Original title: On the quality of local flux reconstructions for guaranteed error bounds
Authors: Vejchodský, Tomáš
Document type: Papers
Conference/Event: Applications of Mathematics 2015, Prague (CZ), 2015-11-18 / 2015-11-21
Year: 2015
Language: eng
Abstract: In this contribution we consider elliptic problems of a reaction-diffucion type discretized by the finite element method and study the quality of guaranteed upper bounds of the error. In particular, we concentrate on complementary error bounds whose values are determined by suitable flux reconstructions. We present numerical experiments comparing the performance of the local flux reconstruction of Ainsworth and Vejchodský [2] and the reconstruction of Braess and Schröberl [5]. We evaluate the efficiency of these flux reconstructions by their comparison with the optimal flux reconstruction computed as a global minimization problem.
Keywords: a posteriori error estimates; complementarity; elliptic problem; index of effectivity
Project no.: GA14-02067S (CEP)
Funding provider: GA ČR
Host item entry: Applications of Mathematics 2015, ISBN 978-80-85823-65-3

Institution: Institute of Mathematics AS ČR (web)
Document availability information: Fulltext is available at external website.
External URL: http://am2015.math.cas.cz/proceedings/contributions/vejchodsky.pdf
Original record: http://hdl.handle.net/11104/0251973

Permalink: http://www.nusl.cz/ntk/nusl-201028


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