Liu, Wenbin, Yan, Ningning (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. (doi:10.1137/S0036142901393589) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:8524)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
| 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 |
|---|---|
| DOI/Identification number: | 10.1137/S0036142901393589 |
| Subjects: | H Social Sciences > HA Statistics > HA33 Management Science |
| Divisions: | Divisions > Kent Business School - Division > Kent Business School (do not use) |
| Depositing User: | Steve Liu |
| Date Deposited: | 07 Sep 2008 15:40 UTC |
| Last Modified: | 05 Nov 2024 09:41 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/8524 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Liu, Wenbin.
| Creator's ORCID: |
 https://orcid.org/0000-0001-5966-6235
|
|---|---|
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