The Mathematical Institute, University of Oxford, Eprints Archive

Stabilization Mechanisms in Discontinuous Galerkin Finite Element Methods

Brezzi, Franco and Cockburn, Bernardo and Marini, Donatella and Suli, Endre (2004) Stabilization Mechanisms in Discontinuous Galerkin Finite Element Methods. Technical Report. Unspecified. (Submitted)

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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.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1162
Deposited By:Lotti Ekert
Deposited On:14 May 2011 08:45
Last Modified:14 May 2011 08:45

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