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Multiscale stochastic finite element method on random field modeling of geotechnical problems — a fast computing procedure

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Abstract

The Green-function-based multiscale stochastic finite element method (MSFEM) has been formulated based on the stochastic variational principle. In this study a fast computing procedure based on the MSFEM is developed to solve random field geotechnical problems with a typical coefficient of variance less than 1. A unique fast computing advantage of the procedure enables computation performed only on those locations of interest, therefore saving a lot of computation. The numerical example on soil settlement shows that the procedure achieves significant computing efficiency compared with Monte Carlo method.

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Authors and Affiliations

  1. School of Civil Engineering, Beijing Jiaotong University, Beijing, 100044, China

    Xi F. Xu

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  1. Xi F. Xu
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Correspondence to Xi F. Xu.

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Xu, X.F. Multiscale stochastic finite element method on random field modeling of geotechnical problems — a fast computing procedure. Front. Struct. Civ. Eng. 9, 107–113 (2015). https://doi.org/10.1007/s11709-014-0268-4

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  • DOI: https://doi.org/10.1007/s11709-014-0268-4

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