Error estimates for parabolic optimal control problems with control and state constraints

被引：0

作者：

Wei Gong

Michael Hinze

机构：

[1] Chinese Academy of Sciences,LSEC, Institute of Computational Mathematics, Academy of Mathematics and Systems Science

[2] Universität Hamburg,Bereich Optimierung und Approximation

来源：

Computational Optimization and Applications | 2013年 / 56卷

关键词：

Optimal control problem; Finite element method; A priori error estimate; Parabolic equation; Control and state constraints;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The numerical approximation to a parabolic control problem with control and state constraints is studied in this paper. We use standard piecewise linear and continuous finite elements for the space discretization of the state, while the dG(0) method is used for time discretization. A priori error estimates for control and state are obtained by an improved maximum error estimate for the corresponding discretized state equation. Numerical experiments are provided which support our theoretical results.

引用

页码：131 / 151

页数：20

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