Liu, W.B. and Tang, T. and Ma, H.P. (2001) On Mixed Error Estimates For Elliptic Obstacle Problems. Advances in Computational Mathematics, 15 (1-4). pp. 261-283. ISSN 1019-7168 .
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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.
|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:||14 Jan 2010 14:31|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/8498 (The current URI for this page, for reference purposes)|
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