Abstract
In this paper, we develop the adaptive interior penalty discontinuous Galerkin method based on a new a posteriori error estimate for the second-order elliptic boundary-value problems. The new a posteriori error estimate is motivated from the smoothing iteration of the m-time Gauss-Seidel iterative method, and it is used to construct the adaptive finite element method. The efficiency and robustness of the proposed adaptive method is demonstrated by extensive numerical experiments.
| Original language | English |
|---|---|
| Pages (from-to) | 210-224 |
| Number of pages | 15 |
| Journal | International Journal of Numerical Analysis and Modeling |
| Volume | 16 |
| Issue number | 2 |
| Publication status | Published - Jan 2019 |
Keywords
- A posteriori error estimate
- Adaptive finite element methods
- Gauss-Seidel iterative method
- Interior penalty discontinuous Galerkin method
ASJC Scopus subject areas
- Numerical Analysis