Error estimates for a bubble-enriched C0 interior penalty method to a reduced state constrained elliptic optimal control problem

Gudi, T and Shakya, P (2024) Error estimates for a bubble-enriched C0 interior penalty method to a reduced state constrained elliptic optimal control problem. In: Journal of Computational and Applied Mathematics, 460 .

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Abstract

In this article, we study a bubble-enriched C0 interior penalty method for the elliptic optimal control problem with pointwise control constraints. We have used the strategy of converting the control constrained optimization problem into a state constrained optimization problem by removing the control variable. The convergence behavior is obtained in H2-like energy norm. We present numerical tests to validate our theoretical results. © 2024

Item Type:	Journal Article
Publication:	Journal of Computational and Applied Mathematics
Publisher:	Elsevier B.V.
Additional Information:	The copyright for this article belongs to Elsevier B.V.
Keywords:	Error analysis; Optimal control systems; Optimization algorithms, C0 interior penalty method; Constrained optimi-zation problems; Control constraint; Convergence analysis; Elliptic optimal control problems; Error estimates; Interior penalty method; Pointwise control; Reduced-state; Variational inequalities, Constrained optimization
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	09 Dec 2024 17:49
Last Modified:	09 Dec 2024 17:49
URI:	http://eprints.iisc.ac.in/id/eprint/87080

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