A priori error estimates of mixed methods for bilinear elliptic optimal control problems with integral constraint

Author

Zuliang Lu ; Xiao Huang

Author_Institution

Coll. of Math. & Comput. Sci., Chongqing Three Gorges Univ., Chongqing, China

Volume

1

fYear

2011

fDate

20-22 Aug. 2011

Firstpage

105

Lastpage

109

Abstract

We study a priori error estimates of mixed finite element methods for optimal control problem governed by bilinear elliptic equations with integral constraint. 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 priori error estimates for the coupled state and control approximation. Finally, we present an numerical example which confirm our theoretical results.

Keywords

approximation theory; bilinear systems; elliptic equations; finite element analysis; optimal control; piecewise constant techniques; Raviart-Thomas mixed finite element space; bilinear elliptic equation; bilinear elliptic optimal control; control approximation; coupled state; integral constraint; piecewise constant element; priori error estimates; Approximation methods; Convergence; Educational institutions; Equations; Finite element methods; Mathematical model; Optimal control;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Technology and Artificial Intelligence Conference (ITAIC), 2011 6th IEEE Joint International

Conference_Location

Chongqing

Print_ISBN

978-1-4244-8622-9

Type

conf

DOI

10.1109/ITAIC.2011.6030162

Filename

6030162