Discontinuous Galerkin methods for first-order hyperbolic problems

In this paper we consider discontinuous Galerkin (DG) finite element approximations of a model scalar linear hyperbolic equation. We show that in order to ensure continuous stabilization of the method it suffices to add a jump-penalty-term to the discretized equation. In particular, the method does...

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Bibliographic Details
Main Authors: Brezzi, F, Marini, D, Suli, E
Format: Report
Published: Unspecified 2004