Enviar artigo por via de e-mail MIXED VIRTUAL ELEMENT APPROXIMATION OF A FOURTH ORDER OPTIMAL CONTROL PROBLEM
- Autores: Yang M.1, Shen Y.2, Zhou Z.1
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Afiliações:
- School of Mathematics and Statistics, Shandong Normal University
- School of Science, Xi’an University of Architecture and Technology
- Edição: Volume 63, Nº 6 (2023)
- Páginas: 949
- Seção: Optimal control
- URL: https://vietnamjournal.ru/0044-4669/article/view/664833
- DOI: https://doi.org/10.31857/S0044466923060200
- EDN: https://elibrary.ru/UXBZNT
- ID: 664833
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Resumo
In this article, we study mixed virtual element methods for a distributed optimal control problem governed by a fourth order partial differential equation. By introducing an auxiliary variable, the fourth order equation can be transformed into systems of second order equations. A mixed virtual element discrete scheme for the optimal control problem is established. Moreover, a priori error estimates for auxiliary, state, adjoint state and control variable in H2 and L2 norms are derived. Finally, the theoretical finding is verified by numerical experiments.
Sobre autores
Minghui Yang
School of Mathematics and Statistics, Shandong Normal University
Email: zhouzhaojie@sdnu.edu.cn
250014, Ji’nan, China
Yue Shen
School of Science, Xi’an University of Architecture and Technology
Email: zhouzhaojie@sdnu.edu.cn
710055, Xi’an, China
Zhaojie Zhou
School of Mathematics and Statistics, Shandong Normal University
Autor responsável pela correspondência
Email: zhouzhaojie@sdnu.edu.cn
250014, Ji’nan, China
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