TY - JOUR
T1 - A Full Discrete Stabilized Method for the Optimal Control of the Unsteady Navier-Stokes Equations
AU - Qin , Yanmei
AU - Chen , Gang
AU - Feng , Minfu
JO - Journal of Computational Mathematics
VL - 5
SP - 718
EP - 738
PY - 2018
DA - 2018/06
SN - 36
DO - http://doi.org/10.4208/jcm.1703-m2016-0693
UR - https://global-sci.org/intro/article_detail/jcm/12454.html
KW - Optimal control, Unsteady Navier-Stokes equations, High Reynolds number, Full discrete, Local projection stabilization.
AB - <p style="text-align: justify;">In this paper, a full discrete local projection stabilized (LPS) method is proposed to
solve the optimal control problems of the unsteady Navier-Stokes equations with equal
order elements. Convective effects and pressure are both stabilized by using the LPS
method. A priori error estimates uniformly with respect to the Reynolds number are
obtained, providing the true solutions are sufficiently smooth. Numerical experiments are
implemented to illustrate and confirm our theoretical analysis.</p>