Application of the Schwarz alternating method for simulating the contact interaction of a system of bodies

A numerical algorithm for simulating the multicontact thermoelastic interaction of a system of many bodies is developed. The algorithm is based on the iterative Schwarz alternating method modified for the class of problems under consideration. The nonlinear differential problem in question is discretized using the finite element method. Numerical results are presented, including the thermomechanical interaction of 350 bodies.