Year: 2016
International Journal of Numerical Analysis and Modeling, Vol. 13 (2016), Iss. 2 : pp. 265–279
Abstract
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 $p$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2016-IJNAM-438
International Journal of Numerical Analysis and Modeling, Vol. 13 (2016), Iss. 2 : pp. 265–279
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Time optimal control problems finite element method error estimates.