Stabilization mechanisms in discontinuous Galerkin finite element methods

F. Brezzi, B. Cockburn, L. D. Marini, E. Süli

Research output: Contribution to journalArticlepeer-review

105 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)3293-3310
Number of pages18
JournalComputer Methods in Applied Mechanics and Engineering
Issue number25-28
StatePublished - May 1 2006


  • Discontinuous Galerkin methods
  • Stabilization mechanisms


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