Ainsworth, Mark and Allendes Flores, Alejandro Ignacio and Barrenechea, Gabriel and Rankin, Richard Andrew Robert (2012) Computable error bounds for nonconfirming Fortin-Soulie finite element approximation of the Stokes problem. IMA Journal of Numerical Analysis, 32 (2). pp. 414-447. ISSN 0272-4979
Full text not available in this repository. (Request a copy from the Strathclyde author)Abstract
We propose computable a posteriori error estimates for a second order nonconforming finite element approximation of the Stokes problem. The estimator is completely free of unknown constants and gives a guaranteed numerical upper bound on the error, in terms of a lower bound for the inf-sup constant of the underlying continuous problem. The estimator is also shown to provide a lower bound on the error up to a constant and higher order data oscillation terms. Numerical results are presented illustrating the theory and the performance of the estimator.
| Item type: | Article |
|---|---|
| ID code: | 39488 |
| Keywords: | a posteriori error estimation, Fortin-Soulie element , nonconforming finite element, Mathematics |
| Subjects: | Science > Mathematics |
| Department: | Faculty of Science > Mathematics and Statistics |
| Related URLs: | |
| Depositing user: | Pure Administrator |
| Date Deposited: | 02 May 2012 16:53 |
| Last modified: | 02 May 2012 16:53 |
| URI: | http://strathprints.strath.ac.uk/id/eprint/39488 |
Actions (login required)
| View Item |