ELLIPTIC RECONSTRUCTION AND A POSTERIORI ERROR ESTIMATES FOR PARABOLIC OPTIMAL CONTROL PROBLEMS

Yuelong Tang; Yuchun Hua

doi:10.11948/2014015

2014 Volume 4 Issue 3

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Yuelong Tang, Yuchun Hua. ELLIPTIC RECONSTRUCTION AND A POSTERIORI ERROR ESTIMATES FOR PARABOLIC OPTIMAL CONTROL PROBLEMS[J]. Journal of Applied Analysis & Computation, 2014, 4(3): 295-306. doi: 10.11948/2014015

Citation:

Yuelong Tang, Yuchun Hua. ELLIPTIC RECONSTRUCTION AND A POSTERIORI ERROR ESTIMATES FOR PARABOLIC OPTIMAL CONTROL PROBLEMS[J]. Journal of Applied Analysis & Computation, 2014, 4(3): 295-306. doi: 10.11948/2014015

ELLIPTIC RECONSTRUCTION AND A POSTERIORI ERROR ESTIMATES FOR PARABOLIC OPTIMAL CONTROL PROBLEMS

Institute of Computational Mathematics, Department of Mathematics and Computational Science, Hunan University of Science and Engineering, Yongzhou 425100, Hunan, China

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Abstract

Abstract

In this article, a semidiscrete finite element method for parabolic optimal control problems is investigate. By using elliptic reconstruction, a posteriori error estimates for finite element discretizations of optimal control problem governed by parabolic equations with integral constraints are derived.
- A posteriori error estimates /
- elliptic reconstruction /
- finite element method /
- optimal control problems /
- parabolic equation
MSC: 49J20;65M60

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