Penalty finite element approximations of the stationary power-law Stokes problem

L. Lefton, D. Wei

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Finite element approximations of the stationary power-law Stokes problem using penalty formulation are considered. A priori error estimates under appropriate smoothness assumptions on the solutions are established without assuming a discrete version of the BB condition. Numerical solutions are presented by implementing a nonlinear conjugate gradient method.

Original languageEnglish
Pages (from-to)301-322
Number of pages22
JournalJournal of Numerical Mathematics
Volume11
Issue number4
DOIs
Publication statusPublished - Dec 1 2003

Keywords

  • BB condition
  • Convergence and error estimates
  • Finite element method
  • Non-Newtonian flows
  • Penalty method
  • Power-law flows
  • Stationary stokes problem

ASJC Scopus subject areas

  • Computational Mathematics

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