A PRIORI ERROR ESTIMATES FOR OBSTACLE OPTIMAL CONTROL PROBLEM,WHERE THE OBSTACLE IS THE CONTROLITSELF  

作　　者：Yazid Dendani Radouen Ghanem 

机构地区：[1]Numerical analysis,optimisation and statistical laboratory(LANOS),Badji-Mokhtar,Annaba University,P.O.Box 12,23000,Annaba Algeria

出　　处：《Journal of Computational Mathematics》2023年第4期717-740,共24页计算数学（英文）

摘　　要：In this paper we deal with the convergence analysis of the finite element method for an elliptic penalized unilateral obstacle optimal control problem where the control and the obstacle coincide.Error estimates are established for both state and control variables.We apply a fixed point type iteration method to solve the discretized problem.To corroborate our error estimations and the eficiency of our algorithms,the convergence results and numerical experiments are illustrated by concrete examples.

关 键 词：Optimal control Obstacle problem Finite element A priori error estimate 

分 类 号：O24[理学—计算数学]