Aiming at parabolic optimal control problem with integral control constraints,a fully discrete finite element method based on Crank-Nicolson scheme is proposed.The state is discretized by piecewise linear finite elements for the space discretization,Crank-Nicolson scheme for time discretization,and the control variables are approximated by piecewise linear function approximation,so as to obtain a discrete optimal system.The error estimates of state variables,adjoint state variables and control variables are proved,and the theoretical results are verified by numerical examples.
关键词
抛物型最优控制问题/Crank-Nicolson格式/最优性系统
Key words
parabolic optimal control problem/Crank-Nicolson scheme/optimality system
万方数据