A stable finite element for the stokes equations

D. N. Arnold, F. Brezzi, M. Fortin

Research output: Contribution to journalArticlepeer-review

783 Scopus citations


We present in this paper a new velocity-pressure finite element for the computation of Stokes flow. We discretize the velocity field with continuous piecewise linear functions enriched by bubble functions, and the pressure by piecewise linear functions. We show that this element satisfies the usual inf-sup condition and converges with first order for both velocities and pressure. Finally we relate this element to families of higer order elements and to the popular Taylor-Hood element.

Original languageEnglish (US)
Pages (from-to)337-344
Number of pages8
Issue number4
StatePublished - Dec 1984


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