华侨大学学报（自然科学版）2025，Vol.46Issue(6)：722-728,7.DOI:10.11830/ISSN.1000-5013.202408007
椭圆最优控制问题的稳定化混合有限元方法
Stabilization Mixed Finite Element Method of Elliptic Optimal Control Problem
摘要
Abstract
Low order equal rank mixed elements combined with local Gauss integration stabilization method to solve unconstrained elliptical optimal control problems are used.Firstly,combining the variational principle and optimization theory,the solution to the elliptic optimal control problem is transformed into an associative system of state equation,dual equation and optimality condition.Secondly,the stabilization mixed element schemes of the elliptical optimal control problem are constructed,and the error estimations of these schemes are analyzed.Finally,the effectiveness of the schemes are verified through numerical examples.关键词
无约束椭圆最优控制问题/稳定化混合有限元/低次等阶有限元对/误差估计Key words
unconstrained elliptic optimal control problem/stabilization mixed finite element/low order equal rank finite element pair/error estimation分类
数学引用本文复制引用
赖艺颖,滕宇航,翁智峰..椭圆最优控制问题的稳定化混合有限元方法[J].华侨大学学报（自然科学版）,2025,46(6):722-728,7.基金项目
国家自然科学基金资助项目(11701197) （11701197）
福建省自然科学基金资助项目(2022J01308) （2022J01308）
