TY - JOUR
T1 - Stabilization mechanisms in discontinuous Galerkin finite element methods
AU - Brezzi, F.
AU - Cockburn, B.
AU - Marini, L. D.
AU - Süli, E.
PY - 2006/5/1
Y1 - 2006/5/1
N2 - 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.
AB - 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.
KW - Discontinuous Galerkin methods
KW - Stabilization mechanisms
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UR - http://www.scopus.com/inward/citedby.url?scp=33645924724&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2005.06.015
DO - 10.1016/j.cma.2005.06.015
M3 - Article
AN - SCOPUS:33645924724
SN - 0045-7825
VL - 195
SP - 3293
EP - 3310
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 25-28
ER -