Analysis of some finite elements for the Stokes problem-Reference-Cited by-同舟云学术

Analysis of some finite elements for the Stokes problem

Published:1985 Issue:169 Volume:44 Page:71-79
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Bernardi Christine,Raugel Geneviève

Abstract

We study some finite elements which are used in the approximation of the Stokes problem, so as to obtain error estimates of optimal order. Nous étudions deux éléments finis utilisés pour l’approximation du problème de Stokes et obtenons des estimations d’erreur d’ordre optimal.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1985-44-169/S0025-5718-1985-0771031-7/S0025-5718-1985-0771031-7.pdf

Reference7 articles.

1. Optimal finite-element interpolation on curved domains;Bernardi, Christine;SIAM J. Numer. Anal.,1989

2. Studies in Mathematics and its Applications, Vol. 4;Ciarlet, Philippe G.,1978

3. The combined effect of curved boundaries and numerical integration in isoparametric finite element methods;Ciarlet, P. G.,1972

4. Approximation by finite element functions using local regularization;Clément, Ph.;Rev. Fran\c{c}aise Automat. Informat. Recherche Op\'{e}rationnelle S\'{e}r.,1975

5. Conforming and nonconforming finite element methods for solving the stationary Stokes equations. I;Crouzeix, M.;Rev. Fran\c{c}aise Automat. Informat. Recherche Op\'{e}rationnelle S\'{e}r. Rouge,1973

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