@Article{NMTMA-4-4,
author = {},
title = {Finite Element Approximation of Semilinear Parabolic Optimal Control Problems},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2011},
volume = {4},
number = {4},
pages = {489--504},
abstract = {<p style="text-align: justify;">In this paper, the finite element
approximation of a class of semilinear parabolic optimal control
problems with pointwise control constraint is studied. We discretize
the state and co-state variables by piecewise linear continuous
functions, and the control variable is approximated by piecewise constant functions or piecewise linear discontinuous functions. Some $\textit{a priori}$ error estimates are derived for both the control
and state approximations. The convergence orders are also obtained.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2011.m1020},
url = {https://global-sci.com/article/90708/finite-element-approximation-of-semilinear-parabolic-optimal-control-problems}
}