双线性椭圆最优控制问题混合有限元方法的最大范数误差估计

摘要

Mixed finite element approximation of a bilinear elliptic optimal control problem is considered.The state and co-state are approximated by the lowest order Raviart-Thomas mixed finite element and the control variable is approximated by piecewise constant functions.Maximum-norm error estimates both for the control variable,the state variables and the co-state variables are derived.%考虑了一个双线性椭圆最优控制问题的混合有限元方法逼近,状态与对偶状态变量采用最低阶Raviart-Thomas混合有限元离散,控制变量采用分片常数函数逼近.获得了控制变量、状态变量和对偶状态变量的最大范数误差估计.