Numerical stability of discrete energy for a thermoelastic-Bresse system with second sound

被引：0

作者：

Radid, Atika ^{[1
]}

Smouk, Ali ^{[1
]}

Rhofir, Karim ^{[2
]}

机构：

[1] Univ Hassan 2, Dept Math & Comp Sci, FSAC, LMFA, Casablanca, Morocco

[2] Sultan Moulay Slimane Univ, Comp Sci Dept, LASTI, ENSA, Khouribga, Morocco

来源：

JOURNAL OF MATHEMATICAL MODELING | 2024年 / 12卷 / 04期

关键词：

Discrete energy; numerical approximation; finite element method; numerical stability; thermoelasticBresse system with second sound; DECAY;

D O I：

10.22124/jmm.2024.27325.2411

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our contribution consists of studying numerical methods based on finite element space and finite difference schema in time of the linear one-dimensional thermoelastic Bresse system with second sound. We establish some a priori error estimates, and present some numerical analysis results of discrete energy under different decay rate profiles. Moreover, we study the behaviors of discrete energy with respect to the system parameters and the initial data. Some numerical simulations will be given in order to validate the theoretical results.

引用

页数：17

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