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We prove some approximation properties of nonsmooth functions in the space constructed from Nédélec finite elements of order 1. They rely either on the Nédélec operator or on a Clément type regularization operator linked to these elements. The main application of these results is the a posteriori analysis of the error when the discretization involves this space, we present a basic example. To cite this article: C. Bernardi, F. Hecht, C. R. Acad. Sci. Paris, Ser. I 344 (2007).

Quelques propriétés d'approximation des éléments finis de Nédélec, application à l'analyse a posteriori