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


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

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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.

Conflicts of Interest

The authors declare no conflicts of interest.


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