On a posteriori error estimator for primal, equilibrium and mixed approximation of diffusion equations

  • Authors:

  • B. Achchab;S. Achchab;A. Agouzal;R. Ellaia

  • Affiliations:

  • Économiques et Sociales Settat, Faculté des Sciences Juridiques, Université Hassan ler, B.P. 784 Settat, Morocco;LERMA, Ecole Mohammadia d'Ingénieurs, Avenue Ibn Sina. B.P. 765, Rabat-Agdal, Morocco;UMR 5585 - Equipe de Mathématiques Appliquées de Lyon, Université Claude Bernard Lyon 1, Bât. 101, 69 622 Villeurbanne Cedex, France;LERMA, Ecole Mohammadia d'Ingénieurs, Avenue Ibn Sina. B.P. 765, Rabat-Agdal, Morocco

  • Venue:
  • Applied Mathematics and Computation
  • Year:
  • 2003

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Abstract

In this paper, we present an a posteriori error estimator for diffusion equation with the solution obtained by Black-box solver. The estimator is valid for classical primal, equilibrium and mixed finite element approximations with or without numerical integration.