A View on Stochastic Finite Element and Geostatistics for Resource Parameters Estimation

Skender Osmani, Mihallaq Kotro, Ervin Toromani, Aida Bode, Arben Boçari

Agriculture University of Tirana, Tirana, Albania.
Polytechnic University of Tirana, Tirana, Albania.

DOI: 10.4236/ojmh.2013.32012                

Abstract

The resource parameter estimation using stochastic finite element, geostatistics etc. is a key point on uncertainty, risk analysis, optimization [1-5] etc. In this view, the paper presents some consideration on: 1) Stochastic finite element estimation. The concept of random element is simplified as a stochastic finite element (SFE) taking into account a parallelepiped element with eight nodes in which are given the probability density functions (pdf) on its point supports. In this context it is shown: a—the stochastic finite element is a linear interpolator, related to the distributions given at each nodes; b—the distribution pdf in whatever point x ∈ V; c—the estimation of the mean value of Z(x); 2) Volume integrals calculus; 3) SFE in geostatistics approaches; 4) SFE in PDE solution. Finally, some conclusions are presented underlying the importance of SFE applications

Keywords

Parameter Estimation; SFE; Geostatistics; Kriging; Risk Analysis; Optimisation

Conflicts of Interest

The authors declare no conflicts of interest.

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