Global existence and numerical simulations for a thermoelastic diffusion problem in moving boundary

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

Mathematics and Computers in Simulation (MATCOM), 2019, vol. 166, issue C, 410-431

Abstract: In this paper we investigate the dynamic behavior and the numerical analysis for a thermoelastic diffusion problem in one space dimension with moving boundary. Global existence is proved by using the penalty method of Lions and the Galerkin approximations. Under suitable conditions, we prove that the energy functional decays to zero as the time tends to infinity by the method of perturbation energy. An uncoupled numerical method was developed to obtain an approximate numerical solution with order of quadratic convergence in time and space. Tables and graphs of the approximate solution are displayed for a copper like material, to verify the efficiency and feasibility of the proposed method. Furthermore, we show that the numerical results are consistent with the theoretical results.

Keywords: Thermoelastic diffusion; Moving boundary; Penalty method; Exponential stability; Finite elements (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475419302162
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:166:y:2019:i:c:p:410-431

DOI: 10.1016/j.matcom.2019.07.001

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().