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Stabilization Mechanisms in Discontinuous Galerkin Finite Element Methods

Abstract:
In this paper we propose a new general framework for DG methods which allows to uncover a basic mechanism that ensures suitable stability properties of the methods. We show that such a mechanism is essentially the same for apparently unrelated stabilizations such as jump penalty, upwinding, and Hughes-Franca type residual-based stabilizations.

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Franco Brezzi More by this author
Bernardo Cockburn More by this author
Donatella Marini More by this author
Endre Suli More by this author
Publication date:
2004-09-05
URN:
uuid:48ec12be-7b49-4821-8e3e-417bda56fd3e
Local pid:
oai:eprints.maths.ox.ac.uk:1162

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