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Computational Methods in Applied Mathematics

Editor-in-Chief: Carstensen, Carsten

Managing Editor: Matus, Piotr

IMPACT FACTOR 2017: 0.658

CiteScore 2017: 1.05

SCImago Journal Rank (SJR) 2017: 1.291
Source Normalized Impact per Paper (SNIP) 2017: 0.893

Mathematical Citation Quotient (MCQ) 2017: 0.76

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Volume 16, Issue 4


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

Asha K. Dond / Thirupathi Gudi / Neela Nataraj
Published Online: 2016-09-14 | DOI: https://doi.org/10.1515/cmam-2016-0024


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.

Keywords: Nonconforming Finite Elements; Obstacle Problem; Control; State and Adjoint Variables

MSC 2010: 35J86; 49M25; 65K15; 65N30


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About the article

Received: 2015-10-05

Revised: 2016-04-29

Accepted: 2016-08-03

Published Online: 2016-09-14

Published in Print: 2016-10-01

The third author was partially supported by the Simons Foundation and the Oberwolfach Research Institute for Mathematics.

Citation Information: Computational Methods in Applied Mathematics, Volume 16, Issue 4, Pages 653–666, ISSN (Online) 1609-9389, ISSN (Print) 1609-4840, DOI: https://doi.org/10.1515/cmam-2016-0024.

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