## A note on the convergence of the discontinuous Galerkin method for a scalarhyperbolic equation

- T. Peterson
- Lecture Notes in Computational Scienceand…
- 2000

- Published 2000

In this paper, we present the rst a priori error analysis for the Local Discontinuous Galerkin method for a model elliptic problem. For arbitrary meshes with hanging nodes and elements of various shapes, we show that, for stabilization parameters of order one, the L 2-norm of the gradient and the L 2-norm of the potential are of order k and k + 1=2… (More)