RECOVERY A POSTERIORI ERROR ESTIMATES FOR GENERAL CONVEX ELLIPTIC OPTIMAL CONTROL PROBLEMS SUBJECT TO POINTWISE CONTROL CONSTRAINTS

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...

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Bibliographic Details
Published inJournal of computational mathematics Vol. 27; no. 4; pp. 543 - 560
Main Authors Chen, Yanping, Fu, Yao, Liu, Huanwen, Dai, Yongquan, Wei, Huayi
Format Journal Article
LanguageEnglish
Published Chinese Academy of Mathematices and System Sciences (AMSS) Chinese Academy of Sciences 01.07.2009
Subjects
A posteriori knowledge
Approximation
Control theory
Equations of state
Error rates
Estimation methods
Estimators
Finite element method
Optimal control
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ISSN0254-9409
1991-7139
1991-7139
DOI10.4208/jcm.2009.27.4.018

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Summary: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:0254-9409
1991-7139
1991-7139
DOI:10.4208/jcm.2009.27.4.018