This article is cited in 3 papers

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

Zuliang Lu^a, Hongwei Zhang<sup>b

a</sup> 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

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.

UDC: 517.958:531.72+517.958:539.34

Received: 01.03.2007

Language: English

 English version: Numerical Analysis and Applications, 2008, 1:1, 69–78