In this paper, we review the development of local discontinuous Galerkin methods for elliptic problems. We explain the derivation of these methods and present the corresponding error estimates; we also mention how to couple them with standard conforming finite element methods. Numerical examples are displayed which confirm the theoretical results and show that the coupling works very well.
|Original language||English (US)|
|Number of pages||7|
|Journal||Communications in Numerical Methods in Engineering|
|State||Published - Jan 1 2002|
- Discontinuous Galerkin methods
- Elliptic problems
- Finite element methods