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
收藏
页码：671 / 686
页数：17
相关论文
共 21 条
  • [1] Strong Stability of the Thermoelastic Bresse System with Second Sound and Fractional Delay
    Zennir, Khaled
    Alkhalifa, Loay
    AXIOMS, 2025, 14 (03)
  • [2] Spectral analysis and stability of thermoelastic Bresse system with second sound and boundary viscoelastic damping
    Han, Zhong-Jie
    Xu, Gen-Qi
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (01) : 94 - 112
  • [3] Exponential decay and numerical solution of nonlinear Bresse-Timoshenko system with second sound
    Adjemi, Salim
    Berkane, Ahmed
    Zitouni, Salah
    Bechouat, Tahar
    JOURNAL OF THERMAL STRESSES, 2022, 45 (02) : 154 - 170
  • [4] A nonlinear thermoelastic Bresse system: Global existence and exponential stability
    Fatori, Luci Harue
    de Lima, Pedro Roberto
    Fernandez Sare, Hugo D.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 443 (02) : 1071 - 1089
  • [5] Upper semicontinuity of the global attractor for Bresse system with second sound
    Freitas, M. M.
    Ramos, A. J. A.
    Aouadi, M.
    Almeida Junior, D. S.
    DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2023, 38 (03): : 321 - 352
  • [6] Exponential stability and numerical analysis of a thermoelastic diffusion beam with rotational inertia and second sound
    Aouadi, Moncef
    Copetti, Maria Ines M.
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2021, 187 : 586 - 613
  • [7] On the stability of swelling porous thermoelastic soils mixture with second sound
    Foughali, Fouzia
    Bouzettouta, Lamine
    Khochemane, Houssem Eddine
    Zitouni, Salah
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2024, 30 (02):
  • [8] New Exponential Stability Result for Thermoelastic Laminated Beams with Structural Damping and Second Sound
    Djellali, Fayssal
    Apalara, Tijani A.
    Saifia, Ouarda
    ACTA APPLICANDAE MATHEMATICAE, 2023, 184 (01)
  • [9] Long-time behaviour of a translational thermoelastic Timoshenko system with second sound
    Guesmia, Aissa
    Kafini, Mohammad
    Tatar, Nasser Eddine
    APPLICABLE ANALYSIS, 2023, 102 (05) : 1335 - 1363
  • [10] Stability for a nonlinear coupled system of elasticity and thermoelasticity with second sound
    Meng, Yi-Ping
    Wang, Ya-Guang
    ANALYSIS AND APPLICATIONS, 2015, 13 (01) : 45 - 75
123