On the quality of local flux reconstructions for guaranteed error bounds

0450758 - MÚ 2016 RIV CZ eng C - Conference Paper (international conference)
Vejchodský, Tomáš
On the quality of local flux reconstructions for guaranteed error bounds.
Applications of Mathematics 2015. Prague: Institute of Mathematics CAS, 2015 - (Brandts, J.; Korotov, S.; Křížek, M.; Segeth, K.; Šístek, J.; Vejchodský, T.), s. 242-255. ISBN 978-80-85823-65-3.
[Applications of Mathematics 2015. Prague (CZ), 18.11.2015-21.11.2015]
R&D Projects: GA ČR GA14-02067S
Institutional support: RVO:67985840
Keywords : a posteriori error estimates * complementarity * index of effectivity * elliptic problem
Subject RIV: BA - General Mathematics
http://am2015.math.cas.cz/proceedings/contributions/vejchodsky.pdf

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.
Permanent Link: http://hdl.handle.net/11104/0251973