Verification of functional a posteriori error estimates for obstacle problem in 1D

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SYSNO ASEP	0424082
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Verification of functional a posteriori error estimates for obstacle problem in 1D
Author(s)	Harasim, P. (CZ) Valdman, Jan (UTIA-B)_{RID, ORCID}
Number of authors	2
Source Title	Kybernetika. - : Ústav teorie informace a automatizace AV ČR, v. v. i. - ISSN 0023-5954 Roč. 49, č. 5 (2013), s. 738-754
Number of pages	12 s.
Publication form	Print - P
Language	eng - English
Country	CZ - Czech Republic
Keywords	obstacle problem ; a posteriori error estimate ; variational inequalities
Subject RIV	BA - General Mathematics
R&D Projects	GA13-18652S GA ČR - Czech Science Foundation (CSF)
Institutional support	UTIA-B - RVO:67985556
UT WOS	000328665200005
EID SCOPUS	84889023261
Annotation	We verify functional a posteriori error estimate for obstacle problem proposed by Repin. Simplification into 1D allows for the construction of a nonlinear benchmark for which an exact solution of the obstacle problem can be derived. Quality of a numerical approximation obtained by the finite element method is compared with the exact solution and the error of approximation is bounded from above by a majorant error estimate. The sharpness of the majorant error estimate is discussed.
Workplace	Institute of Information Theory and Automation
Contact	Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
Year of Publishing	2014

Number of the records: 1