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Numerical Analysis and Applications

, Volume 1, Issue 1, pp 69–78 | Cite as

A V-cycle multigrid method for a viscoelastic fluid flow satisfying an Oldroyd-B-type constitutive equation

  • Zuliang Lu
  • Hongwei Zhang
Article
  • 33 Downloads

Abstract

A V-cycle multigrid method is developed for a time-dependent viscoelastic fluid flow satisfying an Oldroyd-B-type constitutive equation in two-dimensional domains. Also existence, uniqueness, and error estimates of an approximate solution are discussed. The approximate stress, velocity, and pressure are, respectively, σ k -discontinuous, u k -continuous, and p k -continuous.

Key words

viscoelastic fluid flow satisfying Oldroyd-B-type constitutive equation V-cycle multigrid method convergence analysis 

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Copyright information

© Pleiades Publishing, Ltd. 2008

Authors and Affiliations

  1. 1.College of MathematicsChangsha University of Science and TechnologyChangshaP.R. China
  2. 2.School of Mathematical Sciences and Computing Technology Central South UniversityChangshaP.R. China

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