Space-time discontinuous Galerkin finite element methods

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    Abstract

    In these notes an introduction is given to space-time discontinuous Galerkin (DG) finite element methods for hyperbolic and parabolic conservation laws on time dependent domains. the space-time DG discretization is explained in detail, including the definition of the numerical fluxes and stabilization operators necessary to maintain stable and non-oscillatory solutions. In addition, a pseudo-time integration method for the solution of the algebraic equations resulting from the DG disctretization and the relation between the space-time DG method and an arbitrary lagrangian Eulerian approach are discussed. Finally, a brief overview of some applications to aerodynamics is given.
    Original languageUndefined
    Title of host publication34th CFD - Higher Order Discretization Methods, Part I Scalar conservation laws
    EditorsH. Deconinck, M. Ricchiuto
    Place of PublicationBrussels, Belgium
    PublisherVon Karman Institute for Fluid Dynamics
    Pages1-37
    Number of pages37
    ISBN (Print)2-930389-63-X
    Publication statusPublished - 2006
    Event34TH CFD -Higher Order Discretization Methods - Rhode-St-Genese, Belgium
    Duration: 14 Nov 200518 Nov 2005

    Publication series

    NameVKI Lecture Series
    PublisherVon Karman Institute for Fluid Dynamics
    Volume2006-01
    ISSN (Print)0377-8312

    Conference

    Conference34TH CFD -Higher Order Discretization Methods
    Period14/11/0518/11/05
    OtherNovember 14-18, 2005

    Keywords

    • IR-76039
    • EWI-12211

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