On the quality of local flux reconstructions for guaranteed error bounds

0450758 - MÚ 2016 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
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]
Grant CEP: GA ČR GA14-02067S
Institucionální podpora: RVO:67985840
Klíčová slova: a posteriori error estimates * complementarity * index of effectivity * elliptic problem
Kód oboru RIV: BA - Obecná matematika
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.
Trvalý link: http://hdl.handle.net/11104/0251973