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Finite dimensional approximation of nonlinear problems

Part. II: Limit Points

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Summary

We continue here the study of a general method of approximation of nonlinear equations in a Banach space yet considered in [2]. In this paper, we give fairly general approximation results for the solutions in a neighborhood of a simple limit point. We the apply the previous analysis to the study of Galerkin approximations for a class of variationally posed nonlinear problems and to a mixed finite element method for the NavierStokes equations.

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Authors and Affiliations

  1. Istituto di Mathematica Applicata and Istituto di Analisi Numerica del C.N.R., Univerità di Pavia, 27100, Pavia, Italy

    F. Brezzi

  2. Centre de Mathématiques Appliquées (ERA/CNRS 747), Ecole Polytechnique, 91128, Palaiseau Cedex, France

    J. Rappaz

  3. Analyse Numérique, Université Pierre et Marie Curie, 4, Place Jussieu, 75230, Paris Cedex 05, France

    P. A. Raviart

Authors
  1. F. Brezzi
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  2. J. Rappaz
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  3. P. A. Raviart
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Additional information

This work has been completed during a visit at the Université Pierre et Marie Curic and at the Ecole Polytechnique

Supported by the Fonds National Suisse de la Recherche Scientifique

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Brezzi, F., Rappaz, J. & Raviart, P.A. Finite dimensional approximation of nonlinear problems. Numer. Math. 37, 1–28 (1981). https://doi.org/10.1007/BF01396184

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  • DOI: https://doi.org/10.1007/BF01396184

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