@Article{IJNAM-13-2,
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/2016-IJNAM-438},
url = {https://global-sci.com/article/83234/finite-element-method-and-its-error-estimates-for-the-time-optimal-controls-of-heat-equation}
}