In this paper two problems are treated: (1) estimation of the mean value of a random function Z(x), defined in a stochastic finite element (SFE) v, z(v),=1/v integral (v) Z(x) dx, where the distributions of Z(x) at each node are known; and (2) Kriking solution with SFE under the non-stationary hypothesis: E(Z(x))=m(x), C(x, h)=E(Z(x+h)Z(x)} -m(x+h)m(x). Several temperature distribution results are presented using a plane SFE. Finally, the conclusions are given underlining SFE applications in energy, hydrology, geology etc., generally in whatever disciplines the distributions are used.