Abstract
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) |
|---|---|
| Pages (from-to) | 69-75 |
| Number of pages | 7 |
| Journal | Communications in Numerical Methods in Engineering |
| Volume | 18 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2002 |
Keywords
- Discontinuous Galerkin methods
- Elliptic problems
- Finite element methods