Abdellah Alla ; Zoubida Mghazli ; Michel Fortin ; Frédéric Hecht - R-adaptation par l'estimateur d'erreur hiérarchique

arima:1850 - Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, August 19, 2006, Volume 5, Special Issue TAM TAM'05, november 2006 - https://doi.org/10.46298/arima.1850
R-adaptation par l'estimateur d'erreur hiérarchique

Authors: Abdellah Alla 1; Zoubida Mghazli 1; Michel Fortin 2; Frédéric Hecht ORCID-iD3

  • 1 Equipe d'Ingénierie MAthématique [Kenitra]
  • 2 Groupe Interdisciplinaire de Recherche en Éléments Finis [Québec]
  • 3 Laboratoire Jacques-Louis Lions

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.

https://doi.org/10.46298/arima.1850
Source: HAL:hal-01263495v1
Volume: Volume 5, Special Issue TAM TAM'05, november 2006
Published on: August 19, 2006
Submitted on: January 26, 2006
Keywords: Finite element method, mesh adaptation, hierarchical estimator,méthode des éléments finis,adaptation de maillage,estimateur hiérarchique,[MATH] Mathematics [math],[INFO] Computer Science [cs]

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