Original title: Complementarity - the way towards guaranteed error estimates
Authors: Vejchodský, Tomáš
Document type: Papers
Conference/Event: Programs and Algorithms of Numerical Mathematics /15./, Dolní Maxov (CZ), 2010-06-06 / 2010-06-11
Year: 2010
Language: eng
Abstract: 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.
Keywords: a posteriori error estimates; Poisson problem
Project no.: CEZ:AV0Z10190503 (CEP), IAA100760702 (CEP)
Funding provider: GA AV ČR
Host item entry: Programs and Algorithms of Numerical Mathematics, ISBN 978-80-85823-57-8

Institution: Institute of Mathematics AS ČR (web)
Document availability information: Fulltext is available in the digital repository of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0197121

Permalink: http://www.nusl.cz/ntk/nusl-42794


The record appears in these collections:
Research > Institutes ASCR > Institute of Mathematics
Conference materials > Papers