TY - JOUR
T1 - Finite Element Method and Its Error Estimates for the Time Optimal Controls of Heat Equation
JO - International Journal of Numerical Analysis and Modeling
VL - 2
SP - 265
EP - 279
PY - 2016
DA - 2016/03
SN - 13
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/438.html
KW - Time optimal control problems, finite element method, error estimates.
AB - <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>