Implicit a posteriori error estimation using patch recovery techniques

Tamás L. Horváth, F. Izsak

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    Abstract

    Implicit a posteriori error estimators are developed for elliptic boundary value problems.Local problems are formulated for the error and the corresponding Neumann type boundary conditions are approximated using a new family of gradient averaging procedure.The convergence properties of the implicit error estimator are discussed independently from that of the residual type error estimators, which provides a freedom in the choice of the boundary conditions. General assumptions are elaborated for the gradient averaging which define a family of implicit a posteriori error estimators. The performance and the favor of the method is demonstrated trough some numerical experiments.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Number of pages18
    Publication statusPublished - Jan 2011

    Publication series

    NameMemorandum / Department of Applied Mathematics
    PublisherUniversity of Twente, Department of Applied Mathematics
    No.1933
    ISSN (Print)1874-4850
    ISSN (Electronic)1874-4850

    Keywords

    • MSC-65P99
    • MSC-70K99
    • METIS-277499
    • EWI-19363
    • IR-75747
    • A posteriori error analysis
    • MSC-70K70
    • Gradient recovery
    • Implicit methods

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