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Error analysis of the finite element and finite volume methods for some viscoelastic fluids
- 1.0460085 - MÚ 2017 RIV DE eng J - Článek v odborném periodiku
Lukáčová-Medviďová, M. - Mizerová, H. - She, B. - Stebel, Jan
Error analysis of the finite element and finite volume methods for some viscoelastic fluids.
Journal of Numerical Mathematics. Roč. 24, č. 2 (2016), s. 105-123. ISSN 1570-2820. E-ISSN 1569-3953
Grant CEP: GA ČR(CZ) GAP201/11/1304
Institucionální podpora: RVO:67985840
Klíčová slova: error analysis * Oldroyd-B type models * viscoelastic fluids
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.405, rok: 2016
http://www.degruyter.com/view/j/jnma.2016.24.issue-2/jnma-2014-0057/jnma-2014-0057.xml
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.
Trvalý link: http://hdl.handle.net/11104/0260224
Název souboru Staženo Velikost Komentář Verze Přístup Stebel.pdf 1 1.6 MB Vydavatelský postprint vyžádat
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