Li, Yanwei (2023) Virtual Element Discretization of Optimal Control Problem Governed by Brinkman Equations. Engineering, 15 (02). pp. 114-133. ISSN 1947-3931
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Abstract
In this paper, we discuss virtual element method (VEM) approximation of optimal control problem governed by Brinkman equations with control constraints. Based on the polynomial projections and variational discretization of the control variable, we build up the virtual element discrete scheme of the optimal control problem and derive the discrete first order optimality system. A priori error estimates for the state, adjoint state and control variables in L2 and H1 norm are derived. The theoretical findings are illustrated by the numerical experiments.
Item Type: | Article |
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Subjects: | East India library > Engineering |
Depositing User: | Unnamed user with email support@eastindialibrary.com |
Date Deposited: | 30 May 2023 12:31 |
Last Modified: | 08 Jun 2024 08:57 |
URI: | http://info.paperdigitallibrary.com/id/eprint/1242 |