Year: 2023
Author: Yujie Li, Xiaoliang Cheng, Xilu Wang
International Journal of Numerical Analysis and Modeling, Vol. 20 (2023), Iss. 1 : pp. 29–46
Abstract
In this paper, we are concerned with an optimal control problem of a quasistatic frictional contact model with history-dependent operators. The contact boundary of the model is divided into two parts where different contact conditions are specified. For the contact problem, we first derive its weak formulation and prove the existence and uniqueness of the solution to the weak formulation. Then we give a priori estimate of the unique solution and prove a continuous dependence result for the solution map. Finally, an optimal control problem that contains boundary and initial condition controls is proposed, and the existence of optimal solutions to the control problem is established.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/ 10.4208/ijnam2023-1002
International Journal of Numerical Analysis and Modeling, Vol. 20 (2023), Iss. 1 : pp. 29–46
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Variational inequality contact problem history-dependent operator optimal control.