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, Department of Applied Mathematics
    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

    Cite this

    Janivita Joto Sudirham, J. J. S., Sudirham, J. J., van der Vegt, J. J. W., & van Damme, R. M. J. (2004). Space-time discontinuous Galerkin method for parabolic problems in time-dependent domains Part II. Analysis. (Memoranda; No. 1733). Enschede: University of Twente, Department of Applied Mathematics.