Convergence analysis of numerical solutions for optimal control of variational–hemivariational inequalities. (July 2020)

• Record Type: Journal Article
• Authors: Han, Danfu; Han, Weimin; Migórski, Stanisław; Zhao, Junfeng
• Is Part Of: Applied mathematics letters. Volume 105(2020)
• Publication Date: 2020-07
• Subjects: optimal control -- Variational–hemivariational inequality -- Hemivariational inequality -- Numerical solution -- Convergence; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2020.106327
• Languages: English
• ISSNs: 0893-9659

Abstract

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.