Reliable a posteriori error control for non-conforming finite element approximation of Stokes flow

W. Dörfler, M. Ainsworth

Research output: Contribution to journalArticle

34 Citations (Scopus)

Abstract

We derive computable a posteriori error estimates for the lowest order nonconforming Crouzeix-Raviart element applied to the approximation of incompressible Stokes flow. The estimator provides an explicit upper bound that is free of any unknown constants, provided that a reasonable lower bound for the inf-sup constant of the underlying problem is available. In addition, it is shown that the estimator provides an equivalent lower bound on the error up to a generic constant.
Original languageEnglish
Pages (from-to)1599-1619
Number of pages20
JournalMathematics of Computation
Volume74
Issue number252
DOIs
Publication statusPublished - 3 Jan 2005

Keywords

  • posteriori error
  • Crouzeix-Raviart element
  • Stokes flow
  • computation
  • mathematics

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