Stabilization mechanisms in discontinuous Galerkin finite element methods

被引：106
|
作者：
Brezzi, F.
Cockburn, B.
Marini, L. D.
Suli, E.
机构：
[1] Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy
[2] CNR, IMATI, I-27100 Pavia, Italy
[3] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
[4] Univ Oxford, Comp Lab, Oxford OX1 3QD, England
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2006年 / 195卷 / 25-28期
关键词：
discontinuous Galerkin methods; stabilization mechanisms;
D O I：
10.1016/j.cma.2005.06.015
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：3293 / 3310
页数：18
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