A study on discontinuous Galerkin finite element methods for elliptic problems

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 study several approaches of the discontinuous Galerkin finite element methods for elliptic problems. An important aspect in these formulations is the use of a lifting operator, for which we present an efficient numerical approximation technique. Numerical experiments for two different discontinuous Galerkin methods are presented for one dimensional problems and compared with exact results. In addition, the theoretical order of accuracy is verified numerically.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Number of pages21
    ISBN (Print)0169-2690
    Publication statusPublished - 2003

    Publication series

    NameMathematical Communications
    PublisherDepartment of Applied Mathematics, University of Twente
    No.1690
    ISSN (Print)0169-2690

    Keywords

    • METIS-212904
    • IR-65875
    • MSC-35J05
    • MSC-76M10
    • MSC-65N30
    • EWI-3510

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      Cite this

      Janivita Joto Sudirham, J. J. S., Sudirham, J. J., van der Vegt, J. J. W., & van Damme, R. M. J. (2003). A study on discontinuous Galerkin finite element methods for elliptic problems. (Mathematical Communications; No. 1690). Enschede: University of Twente, Department of Applied Mathematics.