A priori error estimates of mixed finite element methods for general semilinear elliptic optimal control problems

被引：1
|
作者：
Lu Z. [1 ,2 ]
Chen Y. [3 ]
机构：
[1] School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing
[2] College of Civil Engineering and Mechanics, Xiangtan University, Xiangtan
[3] School of Mathematical Sciences, South China Normal University, Guangzhou, Guangdong
来源：
Computational Mathematics and Modeling | 2013年 / 24卷 / 1期
基金：
中国国家自然科学基金;
关键词：
a priori error estimates; mixed finite element methods; optimal control problems; semilinear elliptic equations;
D O I：
10.1007/s10598-013-9164-3
中图分类号：
学科分类号：
摘要：
We study a priori error estimates of mixed finite element methods for general convex optimal control problems governed by semilinear elliptic equations. The state and the co-state are discretized by the lowest order Raviart-Thomas mixed finite element spaces, and the control is discretized by piecewise constant elements. We derive a priori error estimates for the coupled state and control approximation. Finally, we present some numerical examples which confirm our theoretical results. © 2013 Springer Science+Business Media New York.
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页码：114 / 135
页数：21
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