| In this paper,we study adaptive finite element discretization schemes for an optimal control problem governed by elliptic PDE with an integral constraint for the state with Neumann-edge,with the constraints K = {y∈H1(Ω):∫(?)Ωy≥γ}.we derive the optimality conditions of the control problem.The finite element approximations are constructed on multi-meshes,which are suitable to treat different regularities of the control and state,and the optimality conditions of the discrete system is given.Furthmore,we derive and prove the priori error estimates , at the same time, an optimal posteriori error estimator for the element approximation is obtained. |
