%0 Journal Article
%T Optimization with the time-dependent Navier-Stokes equations as constraints
%J Computational Methods for Differential Equations
%I University of Tabriz
%Z 2345-3982
%A Vizheh, Mitra
%A Momeni-Masuleh, Syaed Hodjatollah
%A Malek, Alaeddin
%D 2015
%\ 04/01/2015
%V 3
%N 2
%P 87-98
%! Optimization with the time-dependent Navier-Stokes equations as constraints
%K Optimal Control Problems
%K Navier-Stokes equations
%K PDE-constrained optimization
%K quasi-Newton algorithm
%K Finite difference
%R
%X 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.
%U https://cmde.tabrizu.ac.ir/article_4484_0de495e641081aae07a2b511ceceb9bf.pdf