A prior error estimate for linear finite element approximation to interface optimal control problems

被引：0

作者：

Guan, Hongbo ^{[1
]}

Hao, Chaoyang ^{[2
]}

Hong, Yapeng ^{[1
]}

Yin, Pei ^{[3
]}

机构：

[1] College of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou,450002, China

[2] Department of Mathematical Sciences, Tongji University, Shanghai,200092, China

[3] Business School, University of Shanghai for Science and Technology, Shanghai,200093, China

来源：

IAENG International Journal of Applied Mathematics | 2020年 / 50卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Optimal control systems - Errors;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper considers a linear finite element method for the constrained optimal control problems (OCPs) governed by elliptic interface equations. The state and adjoint state are approximated by the conforming P1 elements, while the control is approximated with the orthogonal projection of the adjoint state. Optimal order error estimates are proved in both L2-norm and broken energy norm. Lastly, some numerical results are presented to confirm the theoretical analysis. © 2020.

引用

页码：96 / 101

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