Golovach N. Hybrid boundary-finite-elements approximations for modeling of thermo- elastic processes

The study has as an object quasi-static process of thermo-elasticity. The purpose is set to develop, put theoretical basis and implement efficient approach combining in one-problem methods of finite and boundary elements on the basis of domain decomposition methods. A priori evaluations of convergence speed of approximate solutions are constructed. The question of using direct boundary elements method for studying the problems non-stationary heat conduction, elastic static's and non-coupled problems of quasistatic thermo-elasticity is studied. The constructed numerical schemes of solving mentioned problem classes are realized in the form of corresponding software, the working ability of which is tested by means of studying model problems and problems of engineering practice. The domains of appicatons are: heavy industry, energy production, nuclear power plants, building, chemical industry.