Results 41 to 50 of about 3,355 (214)
Applied Mechanics, 2021 In order to analyze the dynamics of a structural problem accurately, a precise model of the structure, including an appropriate material description, is required.
Marcel S. Prem +2 more
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Stochastic Finite Element Analysis using Polynomial Chaos
Studia Geotechnica et Mechanica, 2016 This paper presents a procedure of conducting Stochastic Finite Element Analysis using Polynomial Chaos. It eliminates the need for a large number of Monte Carlo simulations thus reducing computational time and making stochastic analysis of practical ...
Drakos S., Pande G.N.
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Polynomial Chaos Expansion Efficient Evaluation and Estimation of Computational Models [PDF]
SSRN Electronic Journal, 2022 Abstract We apply Polynomial chaos expansion (PCE) to surrogate time-consuming repeated model evaluations for different parameter values. PCE represents a random variable, the quantity of interest (QoI), as a series expansion of other random variables, the inputs.
Fehrle, Daniel +2 more
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Machines, 2023 This paper presents an efficient method for obtaining the dynamic mesh stiffness and dynamic response of a helical gear pair. Unlike the traditional dynamic model that utilizes a time-dependent sequence, the mesh stiffness using the presented method is ...
Hongxu Tian +3 more
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Deep Polynomial Chaos Expansion
CoRR29th International Conference on Artificial Intelligence and Statistics (AISTATS ...
Johannes Exenberger +2 more
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On the convergence of generalized polynomial chaos expansions [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2011 A number of approaches for discretizing partial differential equations with random data are based on generalized polynomial chaos expansions of random variables. These constitute generalizations of the polynomial chaos expansions introduced by Norbert Wiener to expansions in polynomials orthogonal with respect to non-Gaussian probability measures.
Oliver G. Ernst +3 more
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Sparse deterministic approximation of Bayesian inverse problems [PDF]
, 2011 We present a parametric deterministic formulation of Bayesian inverse problems with an input parameter from infinite-dimensional, separable Banach spaces.
A M Stuart +5 more
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STOCHASTIC POLYNOMIAL CHAOS EXPANSIONS TO EMULATE STOCHASTIC SIMULATORS
International Journal for Uncertainty Quantification, 2023 In the context of uncertainty quantification, computational models are required to be repeatedly evaluated. This task is intractable for costly numerical models. Such a problem turns out to be even more severe for stochastic simulators, the output of which is a random variable for a given set of input parameters.
Zhu, Xujia +1 more
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Vibration Analysis of Driving-Point System with Uncertainties Using Polynomial Chaos Expansion
Shock and Vibration, 2020 A vibration transfer analysis method based on polynomial chaos expansion (PCE) is proposed in this study and is used to analyze the stochastic dynamic compliance of uncertain systems with the Gaussian distribution.
Bin Xiao +5 more
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Multi-fidelity sparse polynomial chaos expansion based on Gaussian process regression and least angle regression [PDF]
, 2021 Polynomial chaos (PC) expansion meta-model has been wildly employed and investigated in the field of uncertainty quantification (UQ) and sensitivity analysis (SA).
Xiao D., Song L., Li J., Ferlauto M.
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