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

0460085 - MÚ 2017 RIV DE eng J - Journal Article
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
R&D Projects: GA ČR(CZ) GAP201/11/1304
Institutional support: RVO:67985840
Keywords : error analysis * Oldroyd-B type models * viscoelastic fluids
Subject RIV: BA - General Mathematics
Impact factor: 0.405, year: 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.
Permanent Link: http://hdl.handle.net/11104/0260224