Practical Application of the Stochastic Finite Element Method

José David Arregui-Mena, Lee Margetts, Paul M. Mummery

    Research output: Contribution to journalArticlepeer-review


    The stochastic finite element method is an extension of the FEM that considers the uncertainty of a system that arises through variations in initial conditions, materials or geometry. Systems which display a measurable degree of disorder can be studied efficiently using a probabilistic approach. Different scenarios can be randomly generated with the SFEM to study the behaviour of systems that take into account prior knowledge of the differing variations in properties. This review paper introduces the most commonly used techniques: direct Monte Carlo simulation, the perturbation method and the spectral stochastic finite element method. It then looks at the currently available software for the SFEM and provides examples from the disciplines of materials science, biomechanics and engineering to illustrate different procedures by which the SFEM is practically used. The aim of the paper is to help scientists and engineers quickly assess how they might apply SFEM to their own research and guide them towards key publications.

    Original languageEnglish
    Pages (from-to)171-190
    Number of pages20
    JournalArchives of Computational Methods in Engineering
    Issue number1
    Early online date6 Dec 2014
    Publication statusPublished - 1 Mar 2016


    • Stochastic
    • Monte carlo
    • Finite element method
    • Review
    • Finite element analysis
    • Stochastic finite element method

    Research Beacons, Institutes and Platforms

    • Advanced materials


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