@Article{EAJAM-3-209,
author = {Yuelong Tang and Yanping Chen},
title = {Superconvergence of Finite Element Methods for Optimal Control Problems Governed by Parabolic Equations with Time-Dependent Coefficients},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {3},
number = {3},
pages = {209--227},
abstract = {<p style="text-align: justify;">In this article, a fully discrete finite element approximation is investigated for
constrained parabolic optimal control problems with time-dependent coefficients. The
spatial discretisation invokes finite elements, and the time discretisation a nonstandard
backward Euler method. On introducing some appropriate intermediate variables and
noting properties of the $L^2$ projection and the elliptic projection, we derive the superconvergence
for the control, the state and the adjoint state. Finally, we discuss some
numerical experiments that illustrate our theoretical results.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.030713.100813a},
url = {http://global-sci.org/intro/article_detail/eajam/10919.html}
}