Skip to Main Content

Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2024 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Analysis of some finite elements for the Stokes problem
HTML articles powered by AMS MathViewer

by Christine Bernardi and Geneviève Raugel PDF
Math. Comp. 44 (1985), 71-79 Request permission

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.
References
  • Christine Bernardi, Optimal finite-element interpolation on curved domains, SIAM J. Numer. Anal. 26 (1989), no. 5, 1212–1240 (English, with French summary). MR 1014883, DOI 10.1137/0726068
  • Philippe G. Ciarlet, The finite element method for elliptic problems, Studies in Mathematics and its Applications, Vol. 4, North-Holland Publishing Co., Amsterdam-New York-Oxford, 1978. MR 0520174
  • P. G. Ciarlet and P.-A. Raviart, The combined effect of curved boundaries and numerical integration in isoparametric finite element methods, The mathematical foundations of the finite element method with applications to partial differential equations (Proc. Sympos., Univ. Maryland, Baltimore, Md., 1972) Academic Press, New York, 1972, pp. 409–474. MR 0421108
  • Ph. Clément, Approximation by finite element functions using local regularization, Rev. Française Automat. Informat. Recherche Opérationnelle Sér. 9 (1975), no. R-2, 77–84 (English, with Loose French summary). MR 0400739
  • M. Crouzeix and P.-A. Raviart, Conforming and nonconforming finite element methods for solving the stationary Stokes equations. I, Rev. Française Automat. Informat. Recherche Opérationnelle Sér. Rouge 7 (1973), no. R-3, 33–75. MR 343661
  • Michel Fortin, Old and new finite elements for incompressible flows, Internat. J. Numer. Methods Fluids 1 (1981), no. 4, 347–364. MR 633812, DOI 10.1002/fld.1650010406
  • V. Girault and P.-A. Raviart, Finite element approximation of the Navier-Stokes equations, Lecture Notes in Mathematics, vol. 749, Springer-Verlag, Berlin-New York, 1979. MR 548867
Similar Articles
Additional Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Math. Comp. 44 (1985), 71-79
  • MSC: Primary 65N30; Secondary 76-08, 76D07
  • DOI: https://doi.org/10.1090/S0025-5718-1985-0771031-7
  • MathSciNet review: 771031