%0 Journal Article
%T A Priori Error Analysis for NCVEM Discretization of Elliptic Optimal Control Problem
%A Shiying Wang
%A Shuo Liu
%J Engineering
%P 83-101
%@ 1947-394X
%D 2024
%I Scientific Research Publishing
%R 10.4236/eng.2024.164008
%X 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 <i>H</i><sup>1</sup> and <i>L</i><sup>2</sup> norms. Finally, some numerical experiments are carried out to support the theoretical results.
%K Nonconforming Virtual Element Method
%K Optimal Control Problem
%K a Priori Error Estimate
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=132894