Robust hierarchical a posteriori error estimators for stabilized convection-diffusion problems

We construct a hierarchical a posteriori error estimator for a stabilized finite element discretization of convection‐diffusion equations with height Péclet number. The error estimator is derived without the saturation assumption and without any comparison with the classical residual estimator. Besi...

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Bibliographic Details
Published inNumerical methods for partial differential equations Vol. 28; no. 5; pp. 1717 - 1728
Main Authors Achchab, B., Agouzal, A., El Fatini, M., Souissi, A.
Format Journal Article
LanguageEnglish
Published Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.09.2012
Subjects
convection-diffusion
hierarchial spaces
robust a posteriori estimator
saturation assumption
stabilized methods
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Summary:We construct a hierarchical a posteriori error estimator for a stabilized finite element discretization of convection‐diffusion equations with height Péclet number. The error estimator is derived without the saturation assumption and without any comparison with the classical residual estimator. Besides, it is robust, such that the equivalence between the norm of the exact error and the error estimator is independent of the meshsize or the diffusivity parameter. © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2012
Bibliography:French-Moroccan Project - No. M.A/05/115
istex:188E844D0D3317791B66384BC99C7BD475A726B2
ArticleID:NUM21696
Volkswagen Foundation - No. I/79315
ark:/67375/WNG-JXT5J74L-M
Hydro 3+3 Project and CNRST (Projet d'établissement, Université Hassan 1er Settat, Ministère de l'enseignement supérieur, Maroc)
ISSN:0749-159X
1098-2426
DOI:10.1002/num.21696