Complementarity - the way towards guaranteed error estimates

0359319 - MÚ 2012 RIV CZ eng C - Conference Paper (international conference)
Vejchodský, Tomáš
Complementarity - the way towards guaranteed error estimates.
Programs and Algorithms of Numerical Mathematics. Praha: MÚ AV ČR, v. v. i., 2010 - (Vejchodský, T.; Chleboun, J.; Přikryl, P.; Segeth, K.; Šístek, J.), s. 205-220. ISBN 978-80-85823-57-8.
[Programs and Algorithms of Numerical Mathematics /15./. Dolní Maxov (CZ), 06.06.2010-11.06.2010]
R&D Projects: GA AV ČR IAA100760702
Institutional research plan: CEZ:AV0Z10190503
Keywords : Poisson problem * a posteriori error estimates
Subject RIV: BA - General Mathematics

This paper presents a review of the complementary technique with the emphasis on computable and guaranteed upper bounds of the approximation error. For simplicity, the approach is described on a numerical solution of the Poisson problem. We derive the complementary error bounds, prove their fundamentals properties, present the method of hypercircle, mention possible generalizations and show a couple of numerical examples.
Permanent Link: http://hdl.handle.net/11104/0197121