A posteriori error estimator and indicator in Generalized Finite Differences. Application to improve the approximated solution of elliptic pdes. - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue International Journal of Computer Mathematics Année : 2008

A posteriori error estimator and indicator in Generalized Finite Differences. Application to improve the approximated solution of elliptic pdes.

Francisco Ureña
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  • PersonId : 884760
Luis Gavete
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  • PersonId : 884761
Beatriz Alonso
  • Fonction : Auteur
  • PersonId : 884762

Résumé

In this paper we compare two different procedures of approximation of the posteriori error for the GFD method, both procedures are residual based errors. The performance of the two different approximations of the error is illustrated by analysing different second order partial differntial equations in 2-D problems with known analytical solution, using irregular cloud of points. Also, in this paper an adaptive method for improving solutions using a posteriori error is shown.

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Dates et versions

hal-00545346 , version 1 (10-12-2010)

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Citer

Juan J Benito, Francisco Ureña, Luis Gavete, Beatriz Alonso. A posteriori error estimator and indicator in Generalized Finite Differences. Application to improve the approximated solution of elliptic pdes.. International Journal of Computer Mathematics, 2008, 85 (03-04), pp.359-370. ⟨10.1080/00207160601167052⟩. ⟨hal-00545346⟩

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