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Numerical stability of discrete energy for a thermoelastic-Bresse system with second sound | ||
| Journal of Mathematical Modeling | ||
| مقاله 5، دوره 12، شماره 4، اسفند 2024، صفحه 671-686 اصل مقاله (271.06 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2024.27325.2411 | ||
| نویسندگان | ||
| Atika Radid1؛ Ali Smouk1؛ Karim Rhofir* 2 | ||
| 1Department of mathematics and computer science, FSAC-LMFA, University Hassan II, Casablanca Morocco | ||
| 2Computer science department, LASTI-ENSA, Sultan Moulay Slimane University, Khouribga Morocco | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Discrete energy؛ numerical approximation؛ finite element method؛ numerical stability؛ thermoelastic-Bresse system with second sound | ||
| مراجع | ||
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