@Article{EAJAM-13-140,
author = {Wang , XiuheWang , Qiming and Zhou , Zhaojie},
title = {A Priori Error Analysis of Mixed Virtual Element Methods for Optimal Control Problems Governed by Darcy Equation},
journal = {East Asian Journal on Applied Mathematics},
year = {2023},
volume = {13},
number = {1},
pages = {140--161},
abstract = {<p style="text-align: justify;">A mixed virtual element discretization of optimal control problems governed
by the Darcy equation with pointwise control constraint is investigated. A discrete
scheme uses virtual element approximations of the state equation and a variational discretization of the control variable. A discrete first-order optimality system is obtained
by the first-discretize-then-optimize approach. A priori error estimates of the state, adjoint, and control variables are derived. Numerical experiments confirm the theoretical
results.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.070322.210722},
url = {http://global-sci.org/intro/article_detail/eajam/21306.html}
}