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 language||English (US)|
|Number of pages||18|
|Journal||Computer Methods in Applied Mechanics and Engineering|
|State||Published - May 1 2006|
- Discontinuous Galerkin methods
- Stabilization mechanisms