抛物最优控制问题质量集中P_0~2-P_1混合有限元方法的先验误差估计

Priori Error Estimates of Lumped Masses P_0~2-P_1 Mixed Finite Methods for Parabolic Optimal Control Problems

考虑了线性抛物最优控制问题的质量集中P_0~2-P_1混合有限元逼近.质量集中法用来处理离散化状态方程,状态和对偶状态采用P_0~2-P_1混合元逼近,控制变量采用分片常数函数逼近.针对障碍型控制问题,得到了所有变量的先验误差估计.

The lumped masses P0^2-P1 mixed finite element approximations for linear parabolic optimal control problems are considered.Lumped mass method is used for the discretization of state equation.The state and co-state are approximated by P0^2-P1 pair and the control variable is approximated by piecewise constant functions.A priori error estimate for all variables is derived with point wise control constraint.