Error estimates for finite element method solution of the Stokes problem in the primitive variables

M. Bercovier*, O. Pironneau

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

261 Scopus citations

Abstract

In this paper we derive error estimates for a class of finite element approximation of the Stokes equation. These elements, popular among engineers, are conforming lagrangian both in velocity and pressure and therefore based on a mixed variational principle. The error estimates are established from a new Brezzi-type inequality for this kind of mixed formulation. The results are true in 2 or 3 dimensions.

Original languageEnglish
Pages (from-to)211-224
Number of pages14
JournalNumerische Mathematik
Volume33
Issue number2
DOIs
StatePublished - Jun 1979

Keywords

  • Subject Classifications: AMS: 65N30, CR: 5.13, 5.17

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