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.

中文翻译：

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最优控制变分半边值不等式的数值解的收敛性分析

变异半偏不等式和半变异不等式是建模和研究存在不同物理量之间的非平滑，非单调和多值关系的科学和工程问题的强大数学工具。在本文中，我们考虑了变分-半变分不等式或半变分不等式最优控制问题的数值解，并在相当笼统的假设下证明了数值解的收敛性。