Energy distributions estimation using stochastic finite element

Abstract

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∫ vZ(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.