anewfiniteelementapproximationofastateconstrainedoptimalcontrolproblem

	anewfiniteelementapproximationofastateconstrainedoptimalcontrolproblem
	Wenbin Liu 1; Wei Gong2 ; Ningning Yan2
	2009
发表期刊	journalofcomputationalmathematics
ISSN	0254-9409
卷号	27 期号:1 页码:97
摘要	In this paper, we study numerical methods for an optimal control problem with point-wise state constraints. The traditional approaches often need to deal with the delta-singularity in the dual equation, which causes many difficulties in its theoretical analysis and numerical approximation, In our new approach we reformulate the state-constrained optimal control as a constrained minimization problems only involving the state, whose optimality condition is characterized by a fourth order elliptic variational inequality. Then direct numerical algorithms (non conforming finite element approximation) are proposed for the inequality, and error estimates of the finite element approximation are derived. Numerical experiments illustrate the effectiveness of the new approach.
语种	英语
资助项目	[National Natural Science Foundation of China] ; [National Basic Research Program]
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/37106
专题	计算数学与科学工程计算研究所系统科学研究所
作者单位	1.肯特大学 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Wenbin Liu,Wei Gong,Ningning Yan. anewfiniteelementapproximationofastateconstrainedoptimalcontrolproblem[J]. journalofcomputationalmathematics,2009,27(1):97.
APA	Wenbin Liu,Wei Gong,&Ningning Yan.(2009).anewfiniteelementapproximationofastateconstrainedoptimalcontrolproblem.journalofcomputationalmathematics,27(1),97.
MLA	Wenbin Liu,et al."anewfiniteelementapproximationofastateconstrainedoptimalcontrolproblem".journalofcomputationalmathematics 27.1(2009):97.