A Nonconforming Finite Element Approximation for Optimal Control of an Obstacle Problem

Dond, Asha K. ; Gudi, Thirupathi ; Nataraj, Neela (2016) A Nonconforming Finite Element Approximation for Optimal Control of an Obstacle Problem Computational Methods in Applied Mathematics, 16 (4). pp. 653-666. ISSN 1609-4840

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Official URL: http://doi.org/10.1515/cmam-2016-0024

Related URL: http://dx.doi.org/10.1515/cmam-2016-0024

Abstract

The article deals with the analysis of a nonconforming finite element method for the discretization of optimization problems governed by variational inequalities. The state and adjoint variables are discretized using Crouzeix–Raviart nonconforming finite elements, and the control is discretized using a variational discretization approach. Error estimates have been established for the state and control variables. The results of numerical experiments are presented.

Item Type:Article
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ID Code:122909
Deposited On:26 Aug 2021 06:15
Last Modified:26 Aug 2021 06:15

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