A priori error estimates for higher order variational discretization and mixed finite element methods of optimal control problems

Journal of inequalities and applications

Zuliang Lu¹ 

关键词: optimal control problems;    variational discretization;    mixed finite element methods;    a priori error estimates;   

DOI  :  10.1186/1029-242X-2012-95

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we investigate a priori error estimates for the optimal control problems governed by elliptic equations using higher order variational discretization and mixed finite element methods. The state and the co-state are approximated by the order k Raviart-Thomas mixed finite element spaces and the control is not discreted. A priori error estimates for the higher order variational discretization and mixed finite element approximation of control problems are obtained. Finally, we present some numerical examples which confirm our theoretical results. Mathematics Subject Classification 1991: 49J20; 65N30.

【 授权许可】

CC BY