TY - JOUR
T1 - Superconvergence of Fully Discrete Finite Elements for Parabolic Control Problems with Integral Constraints
AU - Y. Tang & Y. Hua
JO - East Asian Journal on Applied Mathematics
VL - 2
SP - 138
EP - 153
PY - 2018
DA - 2018/02
SN - 3
DO - http://doi.org/10.4208/eajam.240313.280513a
UR - https://global-sci.org/intro/article_detail/eajam/10852.html
KW - Superconvergence, finite element method, optimal control problems, parabolic equations, integral constraint.
AB - <p style="text-align: justify;">A quadratic optimal control problem governed by parabolic equations with
integral constraints is considered. A fully discrete finite element scheme is constructed
for the optimal control problem, with finite elements for the spatial but the backward
Euler method for the time discretisation. Some superconvergence results of the control,
the state and the adjoint state are proved. Some numerical examples are performed to
confirm theoretical results.</p>