Application of randomized quadrature formulas to the finite element method for elliptic equations. [PDF]
BIT Numer MathAbstract The implementation of the finite element method for linear elliptic equations requires to assemble the stiffness matrix and the load vector. In general, the entries of this matrix-vector system are not known explicitly but need to be approximated by quadrature rules.
Kruse R, Polydorides N, Wu Y.
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Spectral Stochastic Finite Element Method for Electromagnetic Problems with Random Geometry [PDF]
Electrical, Control and Communication Engineering, 2014 In electromagnetic problems, the problem geometry may not always be exactly known. One example of such a case is a rotating machine with random-wound windings.
Lehikoinen Antti
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Bridges for Pedestrians with Random Parameters using the Stochastic Finite Elements Analysis
International Journal of Applied Mechanics and Engineering, 2017 The main aim of this paper is to present a Stochastic Finite Element Method analysis with reference to principal design parameters of bridges for pedestrians: eigenfrequency and deflection of bridge span.
J. Szafran, M. Kamiński
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Cluster-based generalized multiscale finite element method for elliptic PDEs with random coefficients [PDF]
Journal of Computational Physics, 2018 We propose a generalized multiscale finite element method (GMsFEM) based on clustering algorithm to study the elliptic PDEs with random coefficients in the multi-query setting. Our method consists of offline and online stages. In the offline stage, we construct a small number of reduced basis functions within each coarse grid block, which can then be ...
Eric T. Chung 0001 +3 more
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Stochastic finite element method with simple random elements
, 2008 We propose a variant of the stochastic finite element method, where the random elements occuring in the problem formulation are approximated by simple random elements, i.e. random elements with only a finite number of possible values.
Starkloff, Hans-Jörg
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Performance analysis of buffer and vibration isolation lining for red wine transport packaging
Shipin yu jixie, 2023 Objective: In this study, the finite element simulation was integrated into random vibration experiment to provide a new way of thinking about transportation packaging.
WANG Cheng-wei +3 more
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Randomized Oversampling for Generalized Multiscale Finite Element Methods [PDF]
Multiscale Modeling & Simulation, 2016 In this paper, we study the development of efficient multiscale methods for flows in heterogeneous media. Our approach uses the Generalized Multiscale Finite Element (GMsFEM) framework. The main idea of GMsFEM is to approximate the solution space locally using a few multiscale basis functions.
Victor M. Calo +3 more
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Fuzzy finite element analysis based on the transformation between fuzzy and random variables
Vietnam Journal of Science, Technology and Engineering, 2022 In this paper, a fuzzy finite element method (FFEM) for determining the responses of structures is proposed by using the transformation between fuzzy and random variables.
Tuan Hung Nguyen, Huynh Xuan Le
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Random Vibration Fatigue Life Analysis of Airborne Electrical Control Box
Applied Sciences, 2022 To study the influence of random vibration on the fatigue life of airborne equipment, an aircraft electrical control box was selected as the research object. First, finite element software was used to model the dynamics of the airborne electrical control
Daqian Zhang, Yueyang Chen
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Stochastic Finite Element Analysis of Plate Structures Considering Spatial Parameter Random Fields
Mathematics, 2023 For plate structures, their random parameters can be regarded as a two-dimensional random field in the plane. To solve the plate theory considering a two-dimensional random field, an efficient strategy for the stochastic finite element method was adopted.
Yan Yang, Fang-Wen Ge, Xiang Liu
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