On Mixed Error Estimates For Elliptic Obstacle Problems

Liu, Steve Wenbin and Tang, Tao and Ma, Heping (2001) On Mixed Error Estimates For Elliptic Obstacle Problems. Advances in Computational Mathematics, 15 (1-4). pp. 261-283. ISSN 1019-7168 . (The full text of this publication is not available from this repository)

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Official URL
http://dx.doi.org/10.1023/A:1014261013164

Abstract

We establish in this paper sharp error estimates of residual type for finite element approximation to elliptic obstacle problems. The estimates are of mixed nature, which are neither of a pure a priori form nor of a pure a posteriori form but instead they are combined by an a priori part and an a posteriori part. The key ingredient in our derivation for the mixed error estimates is the use of a new interpolator which enables us to eliminate inactive data from the error estimators. One application of our mixed error estimates is to construct a posteriori error indicators reliable and efficient up to higher order terms, and these indicators are useful in mesh-refinements and adaptive grid generations. In particular, by approximating the a priori part with some a posteriori quantities we can successfully track the free boundary for elliptic obstacle problems.

Item Type: Article
Uncontrolled keywords: finite element approximation, elliptic obstacle, sharp a posteriori error estimates
Subjects: H Social Sciences > HA Statistics > HA33 Management Science
Divisions: Faculties > Social Sciences > Kent Business School
Depositing User: Steve Wenbin Liu
Date Deposited: 03 Sep 2008 14:01
Last Modified: 23 Jun 2014 11:06
Resource URI: http://kar.kent.ac.uk/id/eprint/8498 (The current URI for this page, for reference purposes)
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