Stabilization mechanisms in discontinuous Galerkin finite element methods

被引：107

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

页码：3293 / 3310

页数：18

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