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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| Published in | Journal of computational mathematics Vol. 27; no. 4; pp. 543 - 560 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Chinese Academy of Mathematices and System Sciences (AMSS) Chinese Academy of Sciences
01.07.2009
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0254-9409 1991-7139 1991-7139 |
| DOI | 10.4208/jcm.2009.27.4.018 |
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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. |
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| AbstractList | 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. |
| Author | Dai, Yongquan Fu, Yao Chen, Yanping Liu, Huanwen Wei, Huayi |
| Author_xml | – sequence: 1 givenname: Yanping surname: Chen fullname: Chen, Yanping – sequence: 2 givenname: Yao surname: Fu fullname: Fu, Yao – sequence: 3 givenname: Huanwen surname: Liu fullname: Liu, Huanwen – sequence: 4 givenname: Yongquan surname: Dai fullname: Dai, Yongquan – sequence: 5 givenname: Huayi surname: Wei fullname: Wei, Huayi |
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| Copyright | Copyright 2009 AMSS, Chinese Academy of Sciences |
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| SubjectTerms | A posteriori knowledge Approximation Control theory Equations of state Error rates Estimation methods Estimators Finite element method Optimal control |
| Title | RECOVERY A POSTERIORI ERROR ESTIMATES FOR GENERAL CONVEX ELLIPTIC OPTIMAL CONTROL PROBLEMS SUBJECT TO POINTWISE CONTROL CONSTRAINTS |
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