Liu, W.B. and Yan, N. (2002) Quasi-Norm Interpolation Error Estimation and a Posterori Error Estimates for P-Laplacian. SIAM Journal on Numerical Analysis, 40 (5). pp. 1870-1895. ISSN 0036-1429.
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| Official URL http://dx.doi.org/10.1137/S0036142901393589 |
Abstract
In this paper, we establish a series of interpolation error estimates for several widely used averaging interpolators in some quasi norms. These estimates are among the key ingredients in our improved a posteriori error analysis for the p-Laplacian. The quasi-norm interpolation error estimates are used to derive a posteriori error estimators for some conforming and nonconforming finite element approximation of the p-Laplacian, which are shown to provide upper and lower bounds for the discretization error.
| 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: | 07 Sep 2008 15:40 |
| Last Modified: | 21 May 2011 00:43 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/8524 (The current URI for this page, for reference purposes) |
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