DocumentCode
3347646
Title
A posteriori error estimates for variational discretization and mixed finite element methods of optimal control problems
Author
Zuliang Lu ; Xiao Huang
Author_Institution
Sch. of Math. & Stat., Chongqing Three Gorges Univ., Chongqing, China
Volume
3
fYear
2011
fDate
26-28 July 2011
Firstpage
1450
Lastpage
1453
Abstract
In this paper, we investigate a posteriori error estimates for variational discretization and mixed finite element approximation of optimal control problems governed by 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. Finally, we present a numerical example which confirm our theoretical results.
Keywords
approximation theory; elliptic equations; finite element analysis; optimal control; adaptive finite element scheme; control variable; elliptic equation; mixed finite element approximation method; optimal control problems; posteriori error estimation; state variables; variational discretization; Approximation methods; Educational institutions; Finite element methods; Mathematical model; Optimal control; Polynomials;
fLanguage
English
Publisher
ieee
Conference_Titel
Natural Computation (ICNC), 2011 Seventh International Conference on
Conference_Location
Shanghai
ISSN
2157-9555
Print_ISBN
978-1-4244-9950-2
Type
conf
DOI
10.1109/ICNC.2011.6022372
Filename
6022372
Link To Document