Numerical analysis for a thermoelastic diffusion problem in moving boundary

Rodrigo L.R. Madureira, Mauro A. Rincon and Moncef Aouadi

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 187, issue C, 630-655

Abstract: In the present study, a novel numerical method solving a thermoelastic diffusion problem with moving boundary is presented. Since the thermoelastic diffusion system is composed of three coupled differential equations, we propose an uncoupled numerical method to obtain an approximate numerical solution with quadratic convergence order in time and space. The error estimate in Sobolev space and order of convergence are obtained for the semi-discrete and fully discrete problem. The numerical approximation is based on the finite element method together with the Neumark’s approximation in time discretization. Finally, we will show that the results of the numerical simulation are in agreement with the numerical analysis.

Keywords: Thermoelastic diffusion system; Moving boundary; Uncoupled method; Newmark’s approximation; Error estimate; Numerical simulation (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:187:y:2021:i:c:p:630-655

DOI: 10.1016/j.matcom.2021.03.032

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