@Article{AAMM-2-1,
author = {Yanping, Chen and Li, Dai and Zuliang, Lu},
title = {Superconvergence of Rectangular Mixed Finite Element Methods for Constrained Optimal Control Problem},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2010},
volume = {2},
number = {1},
pages = {56--75},
abstract = {<p style="text-align: justify;">We investigate the superconvergence properties of the
constrained quadratic elliptic optimal control problem which is
solved by using rectangular mixed finite element methods. We use the
lowest order Raviart-Thomas mixed finite element spaces to
approximate the state and co-state variables and use piecewise
constant functions to approximate the control variable. We obtain
the superconvergence of $\mathcal{O}(h^{1+s})$ $(0$&lt;$s\leq$&lt;$1)$
for the control variable. Finally, we present two numerical examples
to confirm our superconvergence results.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.09-m0931},
url = {https://global-sci.com/article/73626/superconvergence-of-rectangular-mixed-finite-element-methods-for-constrained-optimal-control-problem}
}