Stabilization mechanisms in discontinuous Galerkin finite element methods

In this paper we propose a new general framework for the construction and the analysis of discontinuous Galerkin (DG) methods which reveals a basic mechanism, responsible for certain distinctive stability properties of DG methods. We show that this mechanism is common to apparently unrelated stabili...

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Published inComputer methods in applied mechanics and engineering Vol. 195; no. 25; pp. 3293 - 3310
Main Authors Brezzi, F., Cockburn, B., Marini, L.D., Süli, E.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.05.2006
Subjects
Discontinuous Galerkin methods
Stabilization mechanisms
Stabilization mechanisms
Discontinuous Galerkin methods
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Summary:In this paper we propose a new general framework for the construction and the analysis of discontinuous Galerkin (DG) methods which reveals a basic mechanism, responsible for certain distinctive stability properties of DG methods. We show that this mechanism is common to apparently unrelated stabilizations, including jump penalty, upwinding, and Hughes–Franca type residual-based stabilizations.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2005.06.015