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Complementarity - the way towards guaranteed error estimates

SYSNO ASEP	0359319
Document Type	C - Proceedings Paper (int. conf.)
R&D Document Type	Conference Paper
Title	Complementarity - the way towards guaranteed error estimates
Author(s)	Vejchodský, Tomáš (MU-W)_{RID, SAI, ORCID}
Source Title	Programs and Algorithms of Numerical Mathematics. - Praha : MÚ AV ČR, v. v. i., 2010 / Vejchodský T. ; Chleboun J. ; Přikryl P. ; Segeth K. ; Šístek J. - ISBN 978-80-85823-57-8
Pages	s. 205-220
Number of pages	16 s.
Action	Programs and Algorithms of Numerical Mathematics /15./
Event date	06.06.2010-11.06.2010
VEvent location	Dolní Maxov
Country	CZ - Czech Republic
Event type	CST
Language	eng - English
Country	CZ - Czech Republic
Keywords	Poisson problem ; a posteriori error estimates
Subject RIV	BA - General Mathematics
R&D Projects	IAA100760702 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
CEZ	AV0Z10190503 - MU-W (2005-2011)
UT WOS	000391896600027
Annotation	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.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2012

Number of the records: 1