화학공학소재연구정보센터
SIAM Journal on Control and Optimization, Vol.47, No.4, 1721-1743, 2008
Goal-oriented adaptivity in control constrained optimal control of partial differential equations
Dual-weighted goal-oriented error estimates for a class of pointwise control constrained optimal control problems for second order elliptic partial differential equations are derived. It is demonstrated that the constraints give rise to a primal-dual weighted error term representing the mismatch in the complementarity system due to discretization. The paper also contains a posteriori error estimators for the L(2)-norm of the error in the state and in the adjoint state.