Superconvergence analysis and a posteriori error estimation of a finite element method for an optimal control problem governed by integral equations

被引：0
作者：
Ningning Yan
机构：
[1] Academy of Mathematics and System Sciences,LSEC, Institute of System Sciences
[2] Chinese Academy of Sciences,undefined
来源：
Applications of Mathematics | 2009年 / 54卷
关键词：
optimal control; integral equation; Galerkin method; superconvergence; a posteriori error estimates; 65N30; 65R20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we discuss the numerical simulation for a class of constrained optimal control problems governed by integral equations. The Galerkin method is used for the approximation of the problem. A priori error estimates and a superconvergence analysis for the approximation scheme are presented. Based on the results of the superconvergence analysis, a recovery type a posteriori error estimator is provided, which can be used for adaptive mesh refinement.
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页码：267 / 283
页数：16
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