A stabilized finite-element method for the Stokes problem including element and edge residuals

Rodolfa Araya, Gabriel Barrenechea, Frédéric Valentin

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8 Citations (Scopus)

Abstract

A new stabilized finite-element method is presented for the Stokes problem. The method is of a Douglas–Wang type, and includes a positive jump term controlling the residual of the Cauchy stress tensor on the internal edges of the triangulation. A priori error estimates are obtained in the natural norms of the unknowns and an a posteriori error estimator is proposed, analysed and tested through numerical experiments.
Original languageEnglish
Pages (from-to)172-197
Number of pages26
JournalIMA Journal of Numerical Analysis
Volume27
Issue number1
Early online date15 May 2006
DOIs
Publication statusPublished - Jan 2007

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Keywords

  • jump term
  • Stokes equation
  • stabilized method
  • a posteriori analysis

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