Title :
Numerical approximation of a class of nonlinear parabolic optimal control problems
Author :
Huang, Xiao ; Li, Benxiu ; Zhang, Gan
Author_Institution :
Coll. of Electron. & Inf. Eng., Chongqing Three Gorges Univ., Chongqing, China
Abstract :
In the paper we mainly consider the finite element numerical solutions for a class of optimal control problem governed by nonlinear parabolic equations. We derive an error estimates for the coupled state and the control solutions of the nonlinear parabolic optimal control problems. The state and co-state are approximated by the mixed finite element spaces and the control is approximated by piecewise constant functions. Finally, we give a numerical example to show the theoretical results.
Keywords :
approximation theory; error analysis; finite element analysis; nonlinear control systems; optimal control; parabolic equations; piecewise constant techniques; state estimation; costate approximation; coupled state error estimation; finite element numerical solution approximation; mixed-finite element spaces; nonlinear parabolic equations; nonlinear parabolic optimal control problems; piecewise constant functions; state approximation; Approximation methods; Educational institutions; Electronic mail; Equations; Finite element methods; Mathematical model; Optimal control; error estimates; finite element method; nonlinear parabolic equations; optimal control problems;
Conference_Titel :
Uncertainty Reasoning and Knowledge Engineering (URKE), 2012 2nd International Conference on
Conference_Location :
Jalarta
Print_ISBN :
978-1-4673-1459-6
DOI :
10.1109/URKE.2012.6319566
