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Analyse d'un élément mixte pour le problème de Stokes

II. Construction et estimations d'erreur

Analysis of a mixed finite element for the Stokes problem

II. Construction and error estimates

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Summary

We build a mixed finite element method for the Stokes problem. This method is nonconforming. We apply the results of Part I to prove convergence and obtain optimal error estimates. We also consider the treatment of interface conditions by multipliers and show that a superconvergent approximation can be built from those multipliers.

Résumé

Nous construisons un élément fini mixte pour le problème de Stokes. Cet élément est non conforme. Nous appliquons les résultats de la Partie I pour obtenir des estimations d'erreur optimales. Nous considérons aussi le traitement des conditions de raccords par des multiplicateurs de Lagrange et nous montrons que ces multiplicateurs peuvent être utilisés pour construire une approximation superconvergente.

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Authors and Affiliations

  1. Département de Mathématiques, Université Laval, QC G1K 7P4, Québec, Canada

    Z. Mghazli

  2. Département de Mathématiques et Informatiques, Faculté des Sciences, Université Ibn Tofaïl, Kénitra, Maroc

    M. Fortin & Z. Mghazli

Authors
  1. M. Fortin
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  2. Z. Mghazli
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Ce rapport a été publié en partie grâce à des subventions du fonds FCAR et du CRSNG.

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Fortin, M., Mghazli, Z. Analyse d'un élément mixte pour le problème de Stokes. Numer. Math. 62, 161–188 (1992). https://doi.org/10.1007/BF01396225

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  • DOI: https://doi.org/10.1007/BF01396225

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