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R-adaptation par l'estimateur d'erreur hiérarchique

Abstract : The aim of this work is to devise a method to determine the optimal position of the nodes in a finite element discretization for a boundary value problem. The node displacement procedure (also called R-adaptation) is a crucial step in a global mesh adaptation procedure. In the present approch, we determine the nodal position by minimizing the approximation error. This error is evaluated using a hierarchical estimator. A numerical test is presented.
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Abdellah Alla, Zoubida Mghazli, Michel Fortin, Frédéric Hecht. R-adaptation par l'estimateur d'erreur hiérarchique. Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, INRIA, 2006, 5, pp.1-10. ⟨hal-01263495⟩

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