TY - JOUR
T1 - Superconvergence of Mixed Methods for Optimal Control Problems Governed by Parabolic Equations
AU - Xing , Xiaoqing
AU - Chen , Yanping
JO - Advances in Applied Mathematics and Mechanics
VL - 4
SP - 401
EP - 419
PY - 2011
DA - 2011/03
SN - 3
DO - http://doi.org/10.4208/aamm.10-m1006
UR - https://global-sci.org/intro/article_detail/aamm/176.html
KW - Optimal control, mixed finite element, superconvergence, parabolic equations.
AB - <p style="text-align: justify;">In this paper, we investigate the superconvergence results for
optimal control problems governed by parabolic equations with
semi-discrete mixed finite element approximation. We use the lowest
order mixed finite element spaces to discrete the state and costate
variables while use piecewise constant function to discrete the
control variable. Superconvergence estimates for both the state
variable and its gradient variable are obtained.</p>