A Priori Error Estimates for Obstacle Optimal Control Problem, Where the Obstacle Is the Control Itself
Year: 2023
Author: Yazid Dendani, Radouen Ghanem
Journal of Computational Mathematics, Vol. 41 (2023), Iss. 4 : pp. 717–740
Abstract
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 efficiency of our algorithms, the convergence results and numerical experiments are illustrated by concrete examples.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2110-m2021-0131
Journal of Computational Mathematics, Vol. 41 (2023), Iss. 4 : pp. 717–740
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Optimal control obstacle problem finite element a priori error estimate.