TITLE:
A View on Stochastic Finite Element and Geostatistics for Resource Parameters Estimation
AUTHORS:
Skender Osmani, Mihallaq Kotro, Ervin Toromani, Aida Bode, Arben Boçari
KEYWORDS:
Parameter Estimation; SFE; Geostatistics; Kriging; Risk Analysis; Optimisation
JOURNAL NAME:
Open Journal of Modern Hydrology,
Vol.3 No.2,
April
29,
2013
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