Discrete observability of the Bresse system

被引：2
作者：
El Arwadi, Toufic [1 ]
Youssef, Wael [2 ]
Wehbe, Ali [2 ]
机构：
[1] Beirut Arab Univ, Dept Math & Comp Sci, Beirut 11072809, Lebanon
[2] Lebanese Univ, Fac Sci, Beirut, Lebanon
来源：
MATHEMATICS AND MECHANICS OF SOLIDS | 2023年 / 28卷 / 05期
关键词：
Bresse equations; observability; finite element discretization; INDIRECT BOUNDARY OBSERVABILITY; DECAY-RATE;
D O I：
10.1177/10812865221109159
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this work, a recent type of observability inequality for the Bresse system in one-dimensional-bounded domain is investigated. First, a finite element implicit Euler scheme is studied. More precisely, a priori error estimate is established which leads to the convergence of the proposed scheme. Then, based on this error estimate, a discrete observability inequality is obtained.
引用
收藏
页码：1170 / 1189
页数：20
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