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

Document Type : Research Article

Authors

1 Department of mathematics and computer science, FSAC-LMFA, University Hassan II, Casablanca Morocco

2 Computer science department, LASTI-ENSA, Sultan Moulay Slimane University, Khouribga Morocco

Abstract

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.

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Journal of Mathematical Modeling
Volume 12, Issue 4
December 2024
Pages 671-686

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