TY - JOUR
ID - 4484
TI - Optimization with the time-dependent Navier-Stokes equations as constraints
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Vizheh, Mitra
AU - Momeni-Masuleh, Syaed Hodjatollah
AU - Malek, Alaeddin
AD - Department of Mathematics, Shahed University, Tehran, P.O. Box: 18151-159, Iran
AD - Department of Applied Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, P.O. Box: 14115-134, Iran
Y1 - 2015
PY - 2015
VL - 3
IS - 2
SP - 87
EP - 98
KW - Optimal Control Problems
KW - Navier-Stokes equations
KW - PDE-constrained optimization
KW - quasi-Newton algorithm
KW - Finite difference
DO -
N2 - 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.
UR - https://cmde.tabrizu.ac.ir/article_4484.html
L1 - https://cmde.tabrizu.ac.ir/article_4484_0de495e641081aae07a2b511ceceb9bf.pdf
ER -