S. Osmani and M. Qirko, “Stochastic Finite Elements in a Complex System: Nonstationary Fluid Flow, Mass Transport, Heat Conduction and Vibrating,” International Conference in Scaling up in Fluid Flow in Porous Medium CROATIA 2008 as well as (Second Part) in 5th Asian Rock, Symposium Tehran, Tehran, 2008.

has been cited by the following article:

• 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