In this paper, we design a posteriori error estimators for the mixed finite element approximation of the convection-diffusion problems with dominant convection which exhibit solutions with internal layers and boundary layers. A discontinuous upstream weighting scheme in association with the mixed method is used for the convection term. The a posteriori error estimator yields global upper and local lower bounds on the error measured in the L2-norm. We present several numerical results to show the performance of the error estimator. We find that our estimator is not only reliable and efficient but also robust for various numerical examples.
|Number of pages||15|
|Journal||Computer Methods in Applied Mechanics and Engineering|
|Publication status||Published - 2008 Jan 15|
Bibliographical noteFunding Information:
This work is supported in part by Korea Research Foundation KRF 2001-005-D20001.
All Science Journal Classification (ASJC) codes
- Computational Mechanics
- Mechanics of Materials
- Mechanical Engineering
- Physics and Astronomy(all)
- Computer Science Applications