A posteriori error estimators of gradient recovery type for FEM of a model optimal control problem

被引：9
|
作者：
Yan, NN [1 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing, Peoples R China
来源：
ADVANCES IN COMPUTATIONAL MATHEMATICS | 2003年 / 19卷 / 1-3期
关键词：
optimal control problem; finite element approximation; a posteriori error estimator; gradient recovery; superconvergence;
D O I：
10.1023/A:1022800401298
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we derive an a posteriori error estimator of gradient recovery type for a model optimal control problem. We show that the a posteriori error estimator is equivalent to the discretization error in a norm of energy type on general meshes. Furthermore, when the solution of the control problem is smooth and the meshes are uniform, it is shown to be asymptotically exact.
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页码：323 / 336
页数：14
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