Finite dimensional approximation of nonlinear problems |
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| Authors: | F. Brezzi J. Rappaz P. A. Raviart |
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| Affiliation: | (1) Istituto di Mathematica Applicata and Istituto di Analisi Numerica del C.N.R., Univerità di Pavia, 27100 Pavia, Italy;(2) Centre de Mathématiques Appliquées (ERA/CNRS 747), Ecole Polytechnique, 91128 Palaiseau Cedex, France;(3) Analyse Numérique, Université Pierre et Marie Curie, 4, Place Jussieu, 75230 Paris Cedex 05, France |
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| Abstract: | 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.This work has been completed during a visit at the Université Pierre et Marie Curic and at the Ecole PolytechniqueSupported by the Fonds National Suisse de la Recherche Scientifique |
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| Keywords: | AMS (MOS): 65N30 CR: 5.17 |
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