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A posteriori error estimation for hp -version time-stepping methods for parabolic partial differential equations

Schötzau, Dominik ; Wihler, Thomas

In: Numerische Mathematik, 2010, vol. 115, no. 3, p. 475-509

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    Titre
    • A posteriori error estimation for hp -version time-stepping methods for parabolic partial differential equations
    Auteur
    • Schötzau, Dominik. Department of Mathematics, University of British Columbia, 1984 Mathematics Road, V6T 1Z2, Vancouver, BC, Canada
    • Wihler, Thomas. Mathematics Institute, Universität Bern, Sidlerstrasse 5, 3012, Bern, Switzerland
    Type de document
    • Postprint
    Classification
    • Informatique
    Identifiant OAI-PMH
    • oai:doc.rero.ch:321383
    Summary
    The aim of this paper is to develop an hp-version a posteriori error analysis for the time discretization of parabolic problems by the continuous Galerkin (cG) and the discontinuous Galerkin (dG) time-stepping methods, respectively. The resulting error estimators are fully explicit with respect to the local time-steps and approximation orders. Their performance within an hp-adaptive refinement procedure is illustrated with a series of numerical experiments