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Convergence analysis of numerical solutions for optimal control of variational–hemivariational inequalities
Journal article   Peer reviewed

Convergence analysis of numerical solutions for optimal control of variational–hemivariational inequalities

Danfu Han, Weimin Han, Stanisław Migórski and Junfeng Zhao
Applied mathematics letters, Vol.105, p.106327
07/2020
DOI: 10.1016/j.aml.2020.106327

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Abstract

Variational–hemivariational inequalities and hemivariational inequalities form a powerful mathematical tool in modeling and studying problems in science and engineering where non-smooth, non-monotone and multi-valued relations among different physical quantities are present. In this paper, we consider the numerical solution of optimal control problems for variational–hemivariational inequalities or hemivariational inequalities, and prove the convergence of numerical solutions under rather general assumptions.
Convergence Hemivariational inequality Numerical solution optimal control Variational–hemivariational inequality

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