摘要
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.
作者
徐长玲
Xu Changling(School of Mathematics and Statistics,Beihua University,Jilin 132013,China)
出处
《北华大学学报（自然科学版）》
CAS
2019年第3期292-298,共7页
Journal of Beihua University（Natural Science）
基金
吉林省教育厅科学技术研究规划重点项目(JJKH20190634KJ)
