A posteriori error estimates for mixed finite element approximation of nonlinear quadratic optimal control problems

被引：1

作者：

Chen, Yanping ^{[1
]}

Lu, Zuliang ^{[2
,3
]}

Fu, Min ^{[4
]}

机构：

[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

[2] Chongqing Three Gorges Univ, Sch Math & Stat, Chongqing 404000, Peoples R China

[3] Xiangtan Univ, Coll Civil Engn & Mech, Xiangtan 411105, Peoples R China

[4] Hunan Informat Sci Vocat Coll, Math Teaching & Res Grp, Changsha 410151, Hunan, Peoples R China

来源：

OPTIMIZATION METHODS & SOFTWARE | 2013年 / 28卷 / 01期

基金：

美国国家科学基金会; 中国博士后科学基金;

关键词：

nonlinear quadratic optimal control problems; mixed finite element approximation; a posteriori error estimates; SUPERCONVERGENCE; EQUATIONS;

D O I：

10.1080/10556788.2011.582500

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

In this paper, we obtain an a posteriori error analysis for mixed finite element approximation of convex optimal control problems governed by a nonlinear second-order elliptic equation. Our results are based on the approximation for both the coupled state variables and the control variable. We propose to improve the error estimates, which can be used to construct an adaptive finite element scheme. A numerical example demonstrating our theoretical results is also presented in this paper.

引用

页码：37 / 53

页数：17

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