Liu, W.B. and Yan, N. (2001) A Posteriori Error Estimates For Distributed Optimal Control Problems. Advances in Computational Mathematics, 15 (1-4). pp. 285-309. ISSN 1019-7168 .
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In this paper, we present an a posteriori error analysis for finite element approximation of distributed convex optimal control problems. We derive a posteriori error estimates for the coupled state and control approximations under some assumptions which hold in many applications. Such estimates, which are apparently not available in the literature, can be used to construct reliable adaptive finite element approximation schemes for control problems. Explicit estimates are obtained for some model problems which requently appear in real-life applications.
|Uncontrolled keywords:||distributed optimal control, finite element approximation, adaptive finite element methods, a posteriori error estimates|
|Subjects:||H Social Sciences > HD Industries. Land use. Labor > HD29 Operational Research - Applications|
|Divisions:||Faculties > Social Sciences > Kent Business School|
|Depositing User:||Steve Wenbin Liu|
|Date Deposited:||09 Dec 2008 19:04|
|Last Modified:||14 Jan 2010 14:31|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/8520 (The current URI for this page, for reference purposes)|
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