Space-time discontinuous Galerkin method for parabolic problems in time-dependent domains Part II. Analysis

J.J.S. Janivita Joto Sudirham, J.J. Sudirham, Jacobus J.W. van der Vegt, Rudolf M.J. van Damme

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    Abstract

    In this report we analyze further the space-time discontinuous Galerkin (DG) finite element method for the solution of the advection-diffusion-reaction equation in time-dependent domains. We prove that the method is consistent, stable, coercive, and gives a unique solution. We also analyze the error estimates and $hp$-convergence of the method. The analysis is completed by analyzing the corresponding dual problems.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente
    Number of pages26
    ISBN (Print)0169-2690
    Publication statusPublished - 2004

    Publication series

    NameMemoranda
    PublisherDepartment of Applied Mathematics, University of Twente
    No.1733
    ISSN (Print)0169-2690

    Keywords

    • EWI-3553
    • IR-65917
    • MSC-35K20
    • METIS-218344
    • MSC-76M10
    • MSC-65M60

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