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

M. Bercovier; O. Pironneau

doi:10.1007/BF01399555

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

M. Bercovier^*
, O. Pironneau

^*Corresponding author for this work

The Rachel and Selim Benin School of Engineering and Computer Science

Research output: Contribution to journal › Article › peer-review

281 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 language	English
Pages (from-to)	211-224
Number of pages	14
Journal	Numerische Mathematik
Volume	33
Issue number	2
DOIs	https://doi.org/10.1007/BF01399555
State	Published - Jun 1979

Keywords

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

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10.1007/BF01399555

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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.",

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AB - 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.

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

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Keywords

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