SUPERCONVERGENCE FOR OPTIMAL CONTROL PROBLEM GOVERNED BY NONLINEAR ELLIPTIC EQUATIONS

被引：2
|
作者：
Chang, Yanzhen [1 ]
Yang, Danping [2 ]
机构：
[1] Beijing Univ Chem Technol, Dept Math, Beijing 100029, Peoples R China
[2] E China Normal Univ, Dept Math, Shanghai Key Lab Pure Math & Math Pratice, Shanghai 200062, Peoples R China
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2014年 / 35卷 / 05期
关键词：
Nonlinear elliptic equation; Optimal control problem; Superconvergence; 65M15; 65M60; APPROXIMATION;
D O I：
10.1080/01630563.2013.871866
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we investigate the superconvergence of the finite element approximation for optimal control problem governed by nonlinear elliptic equations. The state and co-state are discretized by piecewise linear functions and control is approximated by piecewise constant functions. We give the superconvergence analysis for both the control variable and the state variables. Finally, the numerical experiments show the theoretical results.
引用
收藏
页码：509 / 538
页数：30
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