Author(s)

Shiying Wang, Shuo Liu

School of Mathematics and Statistics, Shandong Normal University, Jinan, China.

In this paper, we propose the nonconforming virtual element method (NCVEM) discretization for the pointwise control constraint optimal control problem governed by elliptic equations. Based on the NCVEM approximation of state equation and the variational discretization of control variables, we construct a virtual element discrete scheme. For the state, adjoint state and control variable, we obtain the corresponding prior estimate in H¹ and L² norms. Finally, some numerical experiments are carried out to support the theoretical results.

Nonconforming Virtual Element Method, Optimal Control Problem, a Priori Error Estimate

Wang, S. and Liu, S. (2024) A Priori Error Analysis for NCVEM Discretization of Elliptic Optimal Control Problem. Engineering, 16, 83-101. doi: 10.4236/eng.2024.164008.