Abstract
In this work, we derive a posteriori error estimates for discontinuous Galerkin finite element method on polytopal mesh. We construct a reliable and efficient a posteriori error estimator on general polygonal or polyhedral meshes. An adaptive algorithm based on the error estimator and DG method is proposed to solve a variety of test problems. Numerical experiments are performed to illustrate the effectiveness of the algorithm.
| Original language | English |
|---|---|
| Pages (from-to) | 601-616 |
| Number of pages | 16 |
| Journal | Numerical Methods for Partial Differential Equations |
| Volume | 36 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 May 2020 |
Keywords
- a posteriori error estimate
- discontinuous Galerkin methods
- polytopal mesh
- second-order elliptic problems
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics