@article {
author = {Vizheh, Mitra and Momeni-Masuleh, Syaed Hodjatollah and Malek, Alaeddin},
title = {Optimization with the time-dependent Navier-Stokes equations as constraints},
journal = {Computational Methods for Differential Equations},
volume = {3},
number = {2},
pages = {87-98},
year = {2015},
publisher = {University of Tabriz},
issn = {2345-3982},
eissn = {2383-2533},
doi = {},
abstract = {In this paper, optimal distributed control of the time-dependent Navier-Stokes equations is considered. The control problem involves the minimization of a measure of the distance between the velocity field and a given target velocity field. A mixed numerical method involving a quasi-Newton algorithm, a novel calculation of the gradients and an inhomogeneous Navier-Stokes solver, to find the optimal control of the Navier-Stokes equations is proposed. Numerical examples are given to demonstrate the efficiency of the method.},
keywords = {Optimal Control Problems,Navier-Stokes equations,PDE-constrained optimization,quasi-Newton algorithm,Finite difference},
url = {https://cmde.tabrizu.ac.ir/article_4484.html},
eprint = {https://cmde.tabrizu.ac.ir/article_4484_0de495e641081aae07a2b511ceceb9bf.pdf}
}