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Volume 27, Issue 4
Recovery a Posteriori Error Estimates for General Convex Elliptic Optimal Control Problems Subject to Pointwise Control Constraints

Yanping Chen, Yao Fu, Huanwen Liu, Yongquan Dai & Huayi Wei

DOI: 10.4208/jcm.2009.27.4.018

J. Comp. Math., 27 (2009), pp. 543-560.

Published online: 2009-08

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  • 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.

  • Keywords

General convex optimal control problems, Finite element approximation, Control constraints, Superconvergence, Recovery operator.

  • AMS Subject Headings

49J20, 65N30.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-27-543, author = {Yanping Chen, Yao Fu, Huanwen Liu, Yongquan Dai and Huayi Wei}, title = {Recovery a Posteriori Error Estimates for General Convex Elliptic Optimal Control Problems Subject to Pointwise Control Constraints}, journal = {Journal of Computational Mathematics}, year = {2009}, volume = {27}, number = {4}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2009.27.4.018}, url = {http://global-sci.org/intro/article_detail/jcm/8588.html} }
TY - JOUR T1 - Recovery a Posteriori Error Estimates for General Convex Elliptic Optimal Control Problems Subject to Pointwise Control Constraints AU - Yanping Chen, Yao Fu, Huanwen Liu, Yongquan Dai & Huayi Wei JO - Journal of Computational Mathematics VL - 4 SP - 543 EP - 560 PY - 2009 DA - 2009/08 SN - 27 DO - http://doi.org/10.4208/jcm.2009.27.4.018 UR - https://global-sci.org/intro/article_detail/jcm/8588.html KW - General convex optimal control problems, Finite element approximation, Control constraints, Superconvergence, Recovery operator. AB -

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.

Yanping Chen, Yao Fu, Huanwen Liu, Yongquan Dai and Huayi Wei. (2009). Recovery a Posteriori Error Estimates for General Convex Elliptic Optimal Control Problems Subject to Pointwise Control Constraints. Journal of Computational Mathematics. 27 (4). 543-560. doi:10.4208/jcm.2009.27.4.018
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