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 - 2003
Externally publishedYes

Fingerprint

A Priori Error Estimates
Conjugate gradient method
Stokes Problem
Conjugate Gradient Method
Finite Element Approximation
Penalty
Smoothness
Power Law
Numerical Solution
Formulation

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

Cite this

Penalty finite element approximations of the stationary power-law Stokes problem. / Lefton, L.; Wei, D.

In: Journal of Numerical Mathematics, Vol. 11, No. 4, 2003, p. 301-322.

Research output: Contribution to journalArticle

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