Error Estimates of Variational Discretization and Mixed Finite Element Methods for Quasilinear Optimal Control Problems

摘要：

In this paper we study a variational discretization and mixed finite element approximation of optimal control problems governed by quasilinear elliptic equations. The state and co-state are approximated by the lowest order Raviart- Thomas mixed finite element spaces and the control is not discreted. We derive a priori error estimates both for the state variables and the control variable. Finally, a numerical example is given to demonstrate the theoretical results.

关键词： Error estimates quasilinear optimal control problems variational discretization mixed finite element methods

作者: Zuliang Lu Xiao Huang

作者单位: School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing 404000, China Col College of Electronics and Information Engineering, Chongqing Three Gorges University, Chongqing 404

会议类型: 国际会议

会议名称: The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)

会议地点: 太原

会议语种:英文

页码: 3536-3540

在线出版日期: 2012-05-23（万方平台首次上网日期，不代表论文的发表时间）