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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2008, Volume 11, Number 1, Pages 83–94 (Mi sjvm35)  
This article is cited in 3 scientific papers (total in 3 papers)

$V$-cycle multi-grid method of viscoelastic fluid flow obeying an Oldroyd-B-type constitutive law

Zuliang Lua, Hongwei Zhangb

a College of Mathematics, Changsha University of Science and Technology, Changsha, P.R. China
b School of Mathematical Sciences and Computing Technology, Central South University, Changsha, P.R. China
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Abstract: For the time-dependent viscoelastic fluid flow obeying an Oldroyd B type constitutive law in three dimensional domains, we put forward a $V$-cycle multi-grid method. At the same time, we discuss existence, uniqueness and error estimates of the approximate solution. The approximate stress, velocity and pressure are, respectively, $\sigma_k$ discontinuous, $u_k$ continuous, $p_k$ continuous.
Key words: viscoelastic fluid flow obeying an Oldroyd B type constitutive law, $V$-cycle multi-grid method, convergence analysis.
Received: 01.03.2007
English version:
Numerical Analysis and Applications, 2008, Volume 1, Issue 1, Pages 69–78
DOI: https://doi.org/10.1007/s12258-008-1007-7
UDC: 517.958:531.72+517.958:539.34
Language: English
Citation: Zuliang Lu, Hongwei Zhang, “$V$-cycle multi-grid method of viscoelastic fluid flow obeying an Oldroyd-B-type constitutive law”, Sib. Zh. Vychisl. Mat., 11:1 (2008), 83–94; Num. Anal. Appl., 1:1 (2008), 69–78
Citation in format AMSBIB
\Bibitem{ZulZha08}
\by Zuliang~Lu, Hongwei Zhang
\paper $V$-cycle multi-grid method of viscoelastic fluid flow obeying an Oldroyd-B-type constitutive law
\jour Sib. Zh. Vychisl. Mat.
\yr 2008
\vol 11
\issue 1
\pages 83--94
\mathnet{http://mi.mathnet.ru/sjvm35}
\transl
\jour Num. Anal. Appl.
\yr 2008
\vol 1
\issue 1
\pages 69--78
\crossref{https://doi.org/10.1007/s12258-008-1007-7}
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