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Stabilization mechanisms in discontinuous Galerkin finite element methods

Abstract:
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. © 2005 Elsevier B.V. All rights reserved.
Publication status:
Published

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Publisher copy:
10.1016/j.cma.2005.06.015

Authors


Cockburn, B More by this author
Marini, LD More by this author
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Journal:
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume:
195
Issue:
25-28
Pages:
3293-3310
Publication date:
2006
DOI:
ISSN:
0045-7825
URN:
uuid:2e6cb1a8-c786-475c-8e66-75dd6b3efa68
Source identifiers:
188214
Local pid:
pubs:188214

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