@Article{JCM-29-589, author = {}, 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 = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1103-m3514}, url = {http://global-sci.org/intro/article_detail/jcm/8494.html} }