The controllability for the semi-discrete wave equation with a finite element method

Advances in Difference Equations

Guojie Zheng¹  Xin Yu² 

[1] College of Mathematics and Information Science, Henan Normal University, Xinxiang, P.R. China;School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, South Africa

关键词: wave equation;    finite element approximation;    observability inequality;   

DOI  :  10.1186/1687-1847-2013-160

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study the controllability problem of the semi-discrete internally controlled one-dimensional wave equation with the finite element method. We derive the observability inequality and prove the exact controllability for the semi-discrete internally controlled wave equation, with the controls taken from a finite dimensional space. MSC:49K20, 35J65.

【 授权许可】

CC BY