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

Rodolfa Araya, Gabriel Barrenechea, Frédéric Valentin

Research output: Contribution to journalArticle

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.
LanguageEnglish
Pages172-197
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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Stabilized Finite Element Method
A Posteriori Error Estimators
A Priori Error Estimates
Stokes Problem
Stress Tensor
Triangulation
Cauchy
Jump
Numerical Experiment
Internal
Norm
Finite element method
Unknown
Term
Tensors
Experiments

Keywords

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

Cite this

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A stabilized finite-element method for the Stokes problem including element and edge residuals. / Araya, Rodolfa; Barrenechea, Gabriel; Valentin, Frédéric.

In: IMA Journal of Numerical Analysis, Vol. 27, No. 1, 01.2007, p. 172-197.

Research output: Contribution to journalArticle

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AU - Valentin, Frédéric

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AB - 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.

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