@Article{IJNAM-13-265,
author = {},
title = {Finite Element Method and Its Error Estimates for the Time Optimal Controls of Heat Equation},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2016},
volume = {13},
number = {2},
pages = {265--279},
abstract = {<p style="text-align: justify;">In this paper, we discuss the time optimal control problems governed by heat equation.
The variational discretization concept is introduced for the approximation of the control, and the
semi-discrete finite element method is applied for the controlled heat equation. We prove optimal
a priori error estimate for the optimal time $T$, and quasi-optimal estimates for the optimal control $u$, the related state $y$ and adjoint state $p$.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/438.html}
}