Error analysis of the finite element and finite volume methods for some viscoelastic fluids

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SYSNO ASEP	0460085
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Error analysis of the finite element and finite volume methods for some viscoelastic fluids
Author(s)	Lukáčová-Medviďová, M. (DE) Mizerová, H. (DE) She, B. (DE) Stebel, Jan (MU-W)_{RID, ORCID, SAI}
Source Title	Journal of Numerical Mathematics. - : Walter de Gruyter - ISSN 1570-2820 Roč. 24, č. 2 (2016), s. 105-123
Number of pages	19 s.
Language	eng - English
Country	DE - Germany
Keywords	error analysis ; Oldroyd-B type models ; viscoelastic fluids
Subject RIV	BA - General Mathematics
R&D Projects	GAP201/11/1304 GA ČR - Czech Science Foundation (CSF)
Institutional support	MU-W - RVO:67985840
UT WOS	000377896600003
EID SCOPUS	84975786976
DOI	10.1515/jnma-2014-0057
Annotation	We present the error analysis of a particular Oldroyd-B type model with the limiting Weissenberg number going to infinity. Assuming a suitable regularity of the exact solution we study the error estimates of a standard finite element method and of a combined finite element/finite volume method. Our theoretical result shows first order convergence of the finite element method and the error of the order O (h(3/4)) for the finite element/finite volume method. These error estimates are compared and confirmed by the numerical experiments.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2017

Number of the records: 1