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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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.
Calo, Victor M. +3 more
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Evolving Surface Finite Element Methods for Random Advection-Diffusion Equations [PDF]
SIAM/ASA Journal on Uncertainty Quantification, 2018 In this paper, we introduce and analyse a surface finite element discretization of advection-diffusion equations with uncertain coefficients on evolving hypersurfaces. After stating unique solvability of the resulting semi-discrete problem, we prove optimal error bounds for the semi-discrete solution and Monte Carlo samplings of its expectation in ...
Djurdjevac, A +3 more
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Characterization of random stress fields obtained from polycrystalline aggregate calculations using multi-scale stochastic finite elements [PDF]
, 2015 The spatial variability of stress fields resulting from polycrystalline aggregate calculations involving random grain geometry and crystal orientations is investigated.
Berveiller, Marc +4 more
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Stochastic PDE representation of random fields for large-scale Gaussian process regression and statistical finite element analysis [PDF]
Computer Methods in Applied Mechanics and Engineering, 2023 The efficient representation of random fields on geometrically complex domains is crucial for Bayesian modelling in engineering and machine learning.
Kim Jie Koh, F. Cirak
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Randomized Sampling for Basis Function Construction in Generalized Finite Element Methods
Multiscale Modeling & Simulation, 2020 In the framework of generalized finite element methods for elliptic equations with rough coefficients, efficiency and accuracy of the numerical method depend critically on the use of appropriate basis functions. This work explores several random sampling strategies that construct approximations to the optimal set of basis functions of a given dimension,
Ke Chen +3 more
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X-SFEM, a computational technique based on X-FEM to deal with random shapes [PDF]
, 2007 International audienceWe propose a new method to deal with random geometries. It is an extension to the stochastic context of the eXtended Finite Element Method. This method lies on two majors points: the implicit description of geometry by the level set
Moës, Nicolas +2 more
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Finite Element Model Updating of Steel Arch Bridge Based on First-Order Mode Test Data
Shock and Vibration, 2023 In order to obtain an accurate finite element model of a steel arch bridge, a first-order modal finite element model updating method is proposed by using the measured first-order modal data of the bridge. Using the measured acceleration time history data
Shuai Luo +3 more
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Applied Sciences, 2022 This study investigates the probabilistic stability of embankment slopes subjected to water level drawdown using the random field finite element method (RFEM) with strength reduction technology.
Xiaobing Wang +4 more
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Homogenisation of random composites via the multiscale finite‐element method [PDF]
PAMM, 2004 AbstractThe transition between the chosen microstructure and microvariables and the material properties on the macrolevel is always a sensitive point in the theory of homogenisation. In this talk we will observe the transfer of data between the scales based on the multiscale finite element method where in each Gauss point of the macromesh a micromesh ...
Sandra Ilić, Klaus Hackl
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