A posteriori error estimates of variational discretization and mixed finite element methods for integro-differential optimal control problems

Author

Lu, Zuliang ; Huang, Xiao

Author_Institution

Sch. of Math. & Stat., Chongqing Three Gorges Univ., Chongqing, China

fYear

2011

fDate

26-28 July 2011

Firstpage

1914

Lastpage

1917

Abstract

In this paper, we study a posteriori error estimates of variational discretization and mixed finite element methods for 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 not discretized. We derive a posteriori error estimates for the coupled state and control approximation.

Keywords

finite element analysis; integro-differential equations; optimal control; integro-differential optimal control problems; lowest order Raviart-Thomas mixed finite element spaces; mixed finite element methods; posteriori error estimates; variational discretization; Aerospace electronics; Approximation methods; Educational institutions; Equations; Finite element methods; Mathematical model; Optimal control; a posteriori error estimates; integro-differential optimal control problems; mixed finite element methods; variational discretization;

fLanguage

English

Publisher

ieee

Conference_Titel

Multimedia Technology (ICMT), 2011 International Conference on

Conference_Location

Hangzhou

Print_ISBN

978-1-61284-771-9

Type

conf

DOI

10.1109/ICMT.2011.6002646

Filename

6002646