Numerical stability of discrete energy for a thermoelastic-Bresse system with second sound
Publish place: Journal of Mathematical Modeling، Vol: 12، Issue: 4
Publish Year: 1403
Type: Journal paper
Language: English
View: 41
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Document National Code:
JR_JMMO-12-4_005
Index date: 19 December 2024
Numerical stability of discrete energy for a thermoelastic-Bresse system with second sound 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.
Numerical stability of discrete energy for a thermoelastic-Bresse system with second sound Keywords:
Discrete energy , numerical approximation , Finite Element Method , Numerical stability , thermoelastic-Bresse system with second sound
Numerical stability of discrete energy for a thermoelastic-Bresse system with second sound authors
Atika Radid
Department of mathematics and computer science, FSAC-LMFA, University Hassan II, Casablanca Morocco
Ali Smouk
Department of mathematics and computer science, FSAC-LMFA, University Hassan II, Casablanca Morocco
Karim Rhofir
Computer science department, LASTI-ENSA, Sultan Moulay Slimane University, Khouribga Morocco
