Adaptive Finite Element Method For An Optimal Control Problem Of Stokes Flow With L2-Norm State Constraint

An adaptive finite element approximation for an optimal control problem of the Stokes flow with an L2-norm state constraint is proposed. To produce good adaptive meshes, the a posteriori error estimates are discussed. The equivalent residual-type a posteriori error estimators of the H1-error of state and L2-error of control are given, which are suitable to carry out the adaptive multi-mesh finite element approximation. Some numerical experiments are performed to illustrate the efficiency of the a posteriori estimators. Copyright (C) 2011 John Wiley & Sons, Ltd.