Discrete Models of Coupled Dynamic Thermoelasticity for Stress-Temperature Formulations

Melnik, R.V.N.

Applied Mathematics and Computation, 122(1), 107--132, 2001


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.