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Computational and analytical a posteriori error estimates for finite element methods

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    0353073 - MÚ 2011 RIV CZ eng C - Conference Paper (international conference)
    Segeth, Karel
    Computational and analytical a posteriori error estimates for finite element methods.
    Proceedings of International Conference Presentation of Mathematics '09. Liberec: Technická univerzita v Liberci, 2010 - (Feuerstein, E.; Segeth, K.; Andrejsová, D.), s. 93-100. ISBN 978-80-7372-578-5.
    [International conference Presentation of mathematics '09. Liberec (CZ), 14.09.2009-16.09.2009]
    R&D Projects: GA AV ČR(CZ) IAA100190803
    Institutional research plan: CEZ:AV0Z10190503
    Keywords : hp-adaptive finite element method * a posteriori error estimator * computational error estimate * reference solution
    Subject RIV: BA - General Mathematics

    The analytical a posteriori error estimates are oriented to the use in h-methods, are usually constructed only for lowest-order polynomial approximation, and often depend on unknown constatns or functions. In this review paper, we present several error estimation procedures for some particular linear partial differential problems with special regards to the needs of the hp-method. We compare the advantages and drawbacks of a posteriori error estimators including computational ones.
    Permanent Link: http://hdl.handle.net/11104/0192417

     
     
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