TY - JOUR
T1 - Finite Element Analysis of Optimal Control Problem Governed by Stokes Equations with $L^2$-Norm State-Constraints
JO - Journal of Computational Mathematics
VL - 5
SP - 589
EP - 604
PY - 2011
DA - 2011/10
SN - 29
DO - http://doi.org/10.4208/jcm.1103-m3514
UR - https://global-sci.org/intro/article_detail/jcm/8494.html
KW - Optimal control, State constraints, Stokes equations, a priori error analysis.
AB - <p style="text-align: justify;">An optimal control problem governed by the Stokes equations with $L^2$-norm state constraints is studied. Finite element approximation is constructed. The optimality conditions of both the exact and discretized problems are discussed, and the a priori error estimates of the optimal order accuracy in $L^2$-norm and $H^1$-norm are given. Some numerical experiments are presented to verify the theoretical results.</p>