RECOVERY A POSTERIORI ERROR ESTIMATES FOR GENERAL CONVEX ELLIPTIC OPTIMAL CONTROL PROBLEMS SUBJECT TO POINTWISE CONTROL CONSTRAINTS

• 来源期刊: 计算数学（英文版）
• 关键词: General convex optimal control problems Finite element approximation Con-trol constraints Superconvergence Recovery operator
• 年，卷（期）: 2009,（4）
• 页码范围: 543-560
• 页数: 18页
• 语种: 英文
• DOI: 10.4208/jcm.2009.27.4.018

摘要

Superconvergence and recovery a posteriori error estimates of the finite element ap-proximation for general convex optimal control problems are investigated in this paper. We obtain the superconvergence properties of finite element solutions, and by using the superconvergence results we get recovery a posteriori error estimates which are asymptot-ically exact under some regularity conditions. Some numerical examples are provided to verify the theoretical results.