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

摘要

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. (C) 2020 Elsevier Ltd. All rights reserved.