Liu, W.B. and Yan, N. (2001) Quasi-Norm a Posteriori Error Estimates For Non-Conforming Finite Element Approximation of P-Laplacian. Numerische Mathematik, 89 (2). pp. 341-378. ISSN 0029-599X (Print) 0945-3245 (Online).
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| Official URL http://dx.doi.org/10.1007/PL00005470 |
Abstract
In this paper, we derive quasi-norm a priori and a posteriori error estimates for the Crouzeix-Raviart type finite element approximation of the p-Laplacian. Sharper a priori upper error bounds are obtained. For instance, for sufficiently regular solutions we prove optimal a priori error bounds on the discretization error in an energy norm when . We also show that the new a posteriori error estimates provide improved upper and lower bounds on the discretization error. For sufficiently regular solutions, the a posteriori error estimates are further shown to be equivalent on the discretization error in a quasi-norm.
| Item Type: | Article |
|---|---|
| Subjects: | H Social Sciences > HA Statistics > HA33 Management Science |
| Divisions: | Faculties > Social Sciences > Kent Business School |
| Depositing User: | Steve Wenbin Liu |
| Date Deposited: | 21 Mar 2009 15:38 |
| Last Modified: | 14 Jan 2010 14:31 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/8519 (The current URI for this page, for reference purposes) |
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