Stationary distribution of heat in the non-homogeneous medium

The present paper supplements and continues Authors earler work on steady state analysis of heat flow in a non-homogeneous medium. A short survey of theory of mixed boundary-value problem for the stationary Fourier equation in a non-homogeneous medium in any Lipschitz domain presented. For n = 2 and n = 3 finite-element method of solving of this problemn is developed.