Volume 24, N. 3, pp. 439–460, 2005 Copyright © 2005 SBMAC ISSN 0101-8205 www.scielo.br/cam Numerical method, existence and uniqueness for thermoelasticity system with moving boundary M.A. RINCON 1 , B.S. SANTOS 2 and J. LÍMACO 2 1 Instituto de Matemática, Universidade Federal do Rio de Janeiro 2 Instituto de Matemática, Universidade Federal Fluminense Rio de Janeiro, Brazil E-mails: [email protected] / [email protected] / [email protected] Abstract. In this work, we are interested in obtaining existence, uniqueness of the solution and an approximate numerical solution for the model of linear thermoelasticity with moving boundary. We apply finite element method with finite difference for evolution in time to obtain an approximate numerical solution. Some numerical experiments were presented to show the moving boundary’s effects for problems in linear thermoelasticity. Mathematical subject classification: 35A05, 35A40, 65M60, 65M06. Key words: thermoelasticity system; moving boundary; finite element method; finite differ- ence method. 1 Introduction Let Q t = (x , t ) ∈ R 2 ; α(t )< x < β(t ), 0 < t < T be the non-cylindrical domain with boundary t = 0<t <T {α(t ),β(t )}×{t } #625/04. Received: 03/III/04. Accepted: 06/I/05.
Numerical method, existence and uniqueness for thermoelasticity system with moving boundary
Jun 29, 2023
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