@Article{JCM-29-589,
author = {Haifeng Niu and Danping Yang},
title = {Finite Element Analysis of Optimal Control Problem Governed by Stokes Equations with $L^2$-Norm State-Constraints},
journal = {Journal of Computational Mathematics},
year = {2011},
volume = {29},
number = {5},
pages = {589--604},
abstract = {<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>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1103-m3514},
url = {http://global-sci.org/intro/article_detail/jcm/8494.html}
}