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

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DOI: 10.4236/ojmh.2013.32012    3,135 Downloads   5,896 Views  

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

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

S. Osmani, M. Kotro, E. Toromani, A. Bode and A. Boçari, "A View on Stochastic Finite Element and Geostatistics for Resource Parameters Estimation," Open Journal of Modern Hydrology, Vol. 3 No. 2, 2013, pp. 89-96. doi: 10.4236/ojmh.2013.32012.

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