Recovery a Posteriori Error Estimates for General Convex Elliptic Optimal Control Problems Subject to Pointwise Control Constraints
Year: 2009
Journal of Computational Mathematics, Vol. 27 (2009), Iss. 4 : pp. 543–560
Abstract
Superconvergence and recovery a posteriori error estimates of the finite element approximation for general convex optimal control problems are investigated in this paper. We obtain the superconvergence properties of finite element solutions, and by using the superconvergence results we get recovery a posteriori error estimates which are asymptotically exact under some regularity conditions. Some numerical examples are provided to verify the theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2009.27.4.018
Journal of Computational Mathematics, Vol. 27 (2009), Iss. 4 : pp. 543–560
Published online: 2009-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: General convex optimal control problems Finite element approximation Control constraints Superconvergence Recovery operator.
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