Adaptive variational discretization approximation method for parabolic optimal control problems

• Main Authors: Yuelong Tang, Yuchun Hua
• Format: Article
• Language: English
• Published: SpringerOpen 2020-11-01
• Series: Journal of Inequalities and Applications
• Subjects: Adaptive; Variational discretization approximation; Parabolic optimization problems
• Online Access: http://link.springer.com/article/10.1186/s13660-020-02506-6

Abstract In this paper, we study variational discretization method for parabolic optimization problems. Firstly, we obtain some convergence and superconvergence analysis results of the approximation scheme. Secondly, we derive a posteriori error estimates of the approximation solutions. Finally, we present variational discretization approximation algorithm and adaptive variational discretization approximation algorithm for parabolic optimization problems and do some numerical experiments to confirm our theoretical results.