Superconvergence Properties of Optimal Control Problems 论文
2004SIAM Journal on Control and Optimization引用 270
Advanced Numerical Methods in Computational MathematicsAdvanced Mathematical Modeling in EngineeringDifferential Equations and Numerical Methods
摘要
An optimal control problem for a two-dimensional (2-d) elliptic equation is investigated with pointwise control constraints. This paper is concerned with discretization of the control by piecewise constant functions. The state and the adjoint state are discretized by linear finite elements. Approximations of the optimal solution of the continuous optimal control problem will be constructed by a projection of the discrete adjoint state. It is proved that these approximations have convergence order h2 .