A Posteriori Error Estimates of Mixed Methods for Quadratic Optimal Control Problems Governed by Integro-Differential Equations

被引：0

作者：

Lu Zuliang ^{[1
]}

Huang Xiao ^{[1
]}

机构：

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

来源：

2011 30TH CHINESE CONTROL CONFERENCE (CCC) | 2011年

关键词：

Integro-differential equations; Optimal control problems; Mixed finite element methods; A posteriori error estimates; FINITE-ELEMENT METHODS; APPROXIMATION;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This goal of this paper is to study a posteriori error estimates of mixed finite element methods for quadratic optimal control problems governed by integro-differential equations. The state and the co-state are discretized by the lowest order Raviart-Thomas mixed finite element spaces and the control is discretized by piecewise constant elements. We derive a posteriori error estimates for the coupled state and control approximation.

引用

页码：1839 / 1844

页数：6

共 11 条

[1]

[Anonymous], 1971, OPTIMAL CONTROL SYST

[2] Finite element methods for optimal control problems governed by integral equations and integro-differential equations [J].

Brunner, H ;

Yan, NN .

NUMERISCHE MATHEMATIK, 2005, 101 (01) :1-27

[3] A POSTERIORI ERROR ESTIMATES OF MIXED METHODS FOR PARABOLIC OPTIMAL CONTROL PROBLEMS [J].

Chen, Yanping ;

Liu, Lingli ;

Lu, Zuliang .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2010, 31 (10) :1135-1157

[4] Error estimates for parabolic optimal control problem by fully discrete mixed finite element methods [J].

Chen, Yanping ;

Lu, Zuliang .

FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2010, 46 (11) :957-965

[5] Error estimates of fully discrete mixed finite element methods for semilinear quadratic parabolic optimal control problem [J].

Chen, Yanping ;

Lu, Zuliang .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2010, 199 (23-24) :1415-1423

[6] Higher Order Triangular Mixed Finite Element Methods for Semi linear Quadratic Optimal Control Problems [J].

Deng, Kang ;

Chen, Yanping ;

Lu, Zuliang .

NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2011, 4 (02) :180-196

[7] APPROXIMATION OF A CLASS OF OPTIMAL CONTROL PROBLEMS WITH ORDER OF CONVERGENCE ESTIMATES [J].

FALK, RS .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1973, 44 (01) :28-47

[8]

GEVECI T, 1979, RAIRO-ANAL NUMER-NUM, V13, P313

[9] Adaptive finite element approximation for distributed elliptic optimal control problems [J].

Li, R ;

Liu, WB ;

Ma, HP ;

Tang, T .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2002, 41 (05) :1321-1349

[10] A priori error analysis of mixed methods for nonlinear quadratic optimal control problems [J].

Lu Z.L. ;

Chen Y.P. ;

Zhang H.W. .

Lobachevskii Journal of Mathematics, 2008, 29 (3) :164-174

← 1 2 →