A posteriori error estimates for variational discretization and mixed finite element methods of optimal control problems

摘要：

In this paper, we investigate a posteriori error estimates for variational discretization and mixed finite element approximation of optimal control problems governed by elliptic equation. Our results are based on the approximation for both the coupled state variables and the control variable. We propose to improve the error estimates, which can be used to construct an adaptive finite element scheme. Finally, we present a numerical example which confirm our theoretical results.

作者: Zuliang Lu Xiao Huang

作者单位: School of Mathematics and Statistics Chongqing Three Gorges University Chongqing 404000, China,Colle College of Electronics and Information Engineering Chongqing Three Gorges University Chongqing 40400

会议类型: 国际会议

会议名称: 2011 Seventh International Conference on Natural Computation(第七届自然计算国际会议 ICNC 2011)

会议地点: 上海

会议语种:英文

页码: 1476-1479

在线出版日期: 2011-07-26（万方平台首次上网日期，不代表论文的发表时间）