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
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;
Conference_Titel :
Natural Computation (ICNC), 2011 Seventh International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-9950-2
DOI :
10.1109/ICNC.2011.6022372
