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.
|Number of pages
|Computer Methods in Applied Mechanics and Engineering
|Published - May 1 2006
- Discontinuous Galerkin methods
- Stabilization mechanisms