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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00460085" target="_blank" >RIV/67985840:_____/16:00460085 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1515/jnma-2014-0057" target="_blank" >http://dx.doi.org/10.1515/jnma-2014-0057</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/jnma-2014-0057" target="_blank" >10.1515/jnma-2014-0057</a>

Result language
angličtina
Original language name
Error analysis of the finite element and finite volume methods for some viscoelastic fluids
Original language description
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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GAP201%2F11%2F1304" target="_blank" >GAP201/11/1304: Flow of fluids in domains with variable geometry</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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