Geodesic
On the interior point method for solving thermodynamic equilibrium problems
Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 2, pp. 69-77.

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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. 
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V. P. Il'in; K. G. Morgunov; A. N. Chaiko. On the interior point method for solving thermodynamic equilibrium problems. Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 2, pp. 69-77. http://geodesic.mathdoc.fr/item/SJIM_2011_14_2_a8/

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