TY - JOUR
T1 - A Priori Error Analysis of Mixed Virtual Element Methods for Optimal Control Problems Governed by Darcy Equation
AU - Wang , Xiuhe
AU - Wang , Qiming
AU - Zhou , Zhaojie
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 140
EP - 161
PY - 2023
DA - 2023/01
SN - 13
DO - http://doi.org/10.4208/eajam.070322.210722
UR - https://global-sci.org/intro/article_detail/eajam/21306.html
KW - A priori error estimate, mixed virtual element method, optimal control problem.
AB - <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>