Discrete models of coupled dynamic thermoelasticity for stress–temperature formulations

摘要

In this article, the author studies the properties of discrete approximations for mathematical models of coupled thermoelasticity in the stress–temperature formulation. Since many applied problems deal with steep gradients of thermal fields, the main emphasis is given to the investigation of non-smooth solutions of non-stationary thermoelasticity. Convergence of operator–difference schemes on weak solutions of thermoelasticity is proved, and the dispersion analysis of models is performed. Error estimates and the results of computational experiments are presented.