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2023 | OriginalPaper | Chapter

Virtual Element Methods for Optimal Control Problems Governed by Elliptic Interface Problems

Authors : Jai Tushar, Anil Kumar, Sarvesh Kumar

Published in: Frontiers in Industrial and Applied Mathematics

Publisher: Springer Nature Singapore

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Abstract

A conforming Virtual Element Method along with a variational discretization concept for solving the optimization problem governed by an elliptic interface problem is presented. Elements with small edges and hanging nodes occur naturally while numerically solving interface problems. Conforming Finite Element Methods cannot handle these difficulties naturally. VEM has the attractive feature that it can tackle hanging nodes and is even robust with respect to small edges. We use these features of VEM to design a method that can tackle these difficulties naturally. The state, adjoint and control estimates have been derived in suitable norms. Numerical results verify our theoretical findings and show the robustness and flexibility of the proposed method.

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previous chapter Comparison of Prediction Accuracy Between Interpolation and Artificial Intelligence Application of CFD Data for 3D Cavity Flow
next chapter Positivity Preserving Rational Quartic Spline Zipper Fractal Interpolation Functions
Literature
1.
Brenner, S.C., Sung, L.Y.: Virtual element methods on meshes with small edges or faces. Math. Models Methods Appl. Sci. 28, 1291–1336 (2018)CrossRefMATH
2.
Chen, Z., Zou, J.: Finite element methods and their convergence for elliptic and parabolic interface problems. Numer. Math. 79(2), 175–202 (1998)CrossRefMATH
3.
Hinze, M.: A Variational Discretization Concept in Control Constrained Optimization: The Linear-Quadratic Case. Comput. Optim. Appl. 30, 45–61 (2005)CrossRefMATH
4.
Yadav, O.P., Jiwari, R.: A finite element approach for analysis and coputational modelling of coupled reaction diffusion. Numer. Methods Partial Differ. Equ. 35, 830–850 (2019)
5.
Beirão, V.L., Brezzi, F., Cangiani, A., Manzini, G., Marini, L.D., Russo, A.: Basic principles of virtual element methods. Math. Models Methods Appl. Sci. 23, 199–214 (2013)CrossRefMATH
6.
Wriggers, P., Rust, W.T., Reddy, B.D.: A Virtual element method for contact. Comput. Mech. 58, 1039–1050 (2016)CrossRefMATH
7.
Yadav, O.,P., Jiwari, R.: Finite element analysis and approximation of Burgers’-Fisher equation. Numer. Methods Partial Differ. Equ. 33, 1652–1677 (2017)
Metadata
Title
Virtual Element Methods for Optimal Control Problems Governed by Elliptic Interface Problems
Authors
Jai Tushar
Anil Kumar
Sarvesh Kumar
Copyright Year
2023
Publisher
Springer Nature Singapore
Book
Frontiers in Industrial and Applied Mathematics

Print ISBN: 978-981-19-7271-3

Electronic ISBN: 978-981-19-7272-0

Copyright Year: 2023

DOI
https://doi.org/10.1007/978-981-19-7272-0_36

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