Numerical methods, existence and uniqueness for the thermoelastics systems with moving boundary

Abstract

In this work, we are interested in obtaining the existence, uniqueness of the solution and an approximated numerical solution for the model of linear thermoelasticity with moving boundary. We apply the nite element method with a nite di erence method to obtain an approximated numerical solution. Some numerical experiments were presented to show the moving boundary's effects in the problems in linear thermoelasticity.