TY - JOUR
T1 - Numerical Analysis of an Optimal Control Problem Governed by the Stationary Navier-Stokes Equations with Global Velocity-Constrained
JO - Communications in Computational Physics
VL - 5
SP - 1477
EP - 1502
PY - 2018
DA - 2018/06
SN - 24
DO - http://doi.org/10.4208/cicp.OA-2017-0045
UR - https://global-sci.org/intro/article_detail/cicp/12486.html
KW - Optimal control, state-constrained, Navier-Stokes, finite element, error estimates.
AB - <p style="text-align: justify;">A state-constrained optimal control problem governed by the stationary
Navier-Stokes equations is studied. Finite element approximation is constructed, the
optimal-order a priori H<sup>1</sup>-norm and L<sup>2</sup>-norm error estimates are given, for which the
optimal state is a nonsingular solution of the Navier-Stokes equations to the optimal
control.</p>