Sharp A Posteriori Error Estimates for Optimal Control Governed by Parabolic Integro-Differential Equations

被引：0
|
作者：
Wanfang Shen
Liang Ge
Danping Yang
Wenbin Liu
机构：
[1] Shandong University of Finance and Economics,School of Mathematic and Quantitative Economics
[2] Shandong Computer Science Center (National Supercomputer Center in Jinan),Shandong Provincial Key Laboratory of Computer Networks
[3] East China Normal University,Department of Mathematics
[4] University of Kent,KBS
来源：
Journal of Scientific Computing | 2015年 / 65卷
关键词：
Adaptive finite element method; Equivalent a posteriori error estimates; Linear parabolic integro-differential equations; Optimality conditions; Multi-meshes;
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学科分类号：
摘要：
In this paper, we apply the finite element and backward Euler scheme for the space and time approximation of a constrained optimal control problem governed by a parabolic integro-differential equation on multi-meshes. We firstly establish the weak formulations for the control problem and then derive equivalent a posteriori error estimators with lower and upper bounds for both the state and the control approximation. These indicators are then used in our adaptive multi-meshes finite element schemes. Finally some numerical tests are presented to verify the effectiveness of the indicators.
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页码：1 / 33
页数：32
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