On the interior point method for solving thermodynamic equilibrium problems

We consider the problem of thermodynamic equilibrium in multicomponent systems with a given total composition as a traditional inverse problem. We propose a modification of the corresponding optimization problem for which, considering the specifics of the target functional, and basing on the interior point method we develop a two-level iterative process and sos find a solution satisfying the Karush–Kuhn–Tucker conditions. The results of simulations confirm the convergence of the method and demonstrate its wider applicability in comparison with analogous methods.