A posteriori error estimates for optimal control problems governed by parabolic equations |
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| Authors: | Wenbin Liu Ningning Yan |
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| Affiliation: | (1) CBS, University of Kent, Canterbury, CT2 7PE, UK e-mail: W.B.Liu@ukc.ac.uk , GB;(2) Institute of System Sciences, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, China , CN |
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| Abstract: | Summary. In this paper, we derive a posteriori error estimates for the finite element approximation of quadratic optimal control problem governed by linear parabolic equation. We obtain a posteriori error estimates for both the state and the control approximation. Such estimates, which are apparently not available in the literature, are an important step towards developing reliable adaptive finite element approximation schemes for the control problem. Received July 7, 2000 / Revised version received January 22, 2001 / Published online January 30, 2002 RID="*" ID="*" Supported by EPSRC research grant GR/R31980 |
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| Keywords: | Mathematics Subject Classification (1991): 49J20 65N30 |
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