Polynomial Chaos Expansion (PCE)
Analyzing the dynamic response of a rotor system under uncertain parameters by Polynomial Chaos Expansion
... the chaos ba- sis are explained and studied for application to the rotordynamics ...The Polynomial Chaos Expansion procedure is illustrated by different numerical examples that include the ...
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Propagation of modeling uncertainty by polynomial chaos expansion in multidisciplinary analysis
... Onera - The French Aerospace Lab, F-31055 Toulouse France Multidisciplinary analysis (MDA) is nowadays a powerful tool for analysis and optimization of complex systems. The present study is interested in the case where ...
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Bearing capacity of strip footings on spatially random soils using sparse polynomial chaos expansion
... It should be noticed that the number of the PCE coef ficients to be computed grows dramatically with the size of the input random vector and the PCE order. When dealing with random fields as is the case in the present ...
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Stochastic porous model of a bone-implant healing process using polynomial chaos expansion
... the polynomial chaos expansion using the orthogonality of the base polynomials in ...Legendre polynomial samples are generated and substituted into the PCE expression to obtain the maximum and ...
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Determination of Bootstrap confidence intervals on sensitivity indices obtained by polynomial chaos expansion
... by polynomial chaos expansion approximation of the quantity of ...about polynomial chaos ex- pansion and determination of sensitivity ...by polynomial chaos ...
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Efficient sparse polynomial chaos expansion methodology for the probabilistic analysis of computationally-expensive deterministic models
... 2. SPARSE POLYNOMIAL CHAOS EXPANSION METHODOLOGY In this section, one first presents the PCE and then its extension, the SPCE. The PCE methodology allows one to replace a complex deterministic model ...
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Efficient sparse polynomial chaos expansion methodology for computationally expensive deterministic models
... SPARSE POLYNOMIAL CHAOS EXPANSION (SPCE) METHODOLOGY In this section, one first presents the polynomial chaos expansion (PCE) and then its extension, the sparse polynomial ...
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Bayesian sparse polynomial chaos expansion for global sensitivity analysis
... Polynomial chaos expansions are frequently used by engineers and modellers for uncertainty and sensitivity analyses of computer ...sparse polynomial chaos expansion of a given model ...
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Construction of bootstrap confidence intervals on sensitivity indices computed by polynomial chaos expansion
... methods, polynomial chaos expansion is one of the most efficient to calculate variance- based sensitivity ...the expansion coefficients but without error estimators of the meta-model ...the ...
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Construction of bootstrap confidence intervals on sensitivity indices computed by polynomial chaos expansion
... methods, polynomial chaos expansion is one of the most efficient to calculate variance- based sensitivity ...the expansion coefficients but without error estimators of the meta-model ...the ...
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Piecewise polynomial chaos expansion with an application to brake squeal of a linear brake system
... series expansion on a set of zero mean random variables [21, ...so-called Polynomial Chaos Expansions and was first introduced in the field of structural dynamics by Ghanem and Spanos ...current ...
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A polynomial chaos approach for uncertainty analysis of chloride-induced corrosion in concrete structures
... CONCLUSIONS In this paper, a probabilistic modeling of chloride transport and chloride-induced corrosion of concrete structures using the polynomial chaos expansion (PCE) is presented. It is found ...
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ON OPTIMAL EXPERIMENTAL DESIGNS FOR SPARSE POLYNOMIAL CHAOS EXPANSIONS
... 5.2.1 Sparse PCE: Least Angle regression The LAR algorithm is an iterative regression method applied in the context of PCE for ba- sis selection (Blatman and Sudret, 2011a). The basic idea of LAR is to select a ...
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Application of the polynomial chaos expansion to multiphase CFD : a study of rising bubbles and slug flow
... The contact between the vapor-liquid interface and the solid is only apparent from a macroscopic perspective; a very thin (-i nm) film of adsorbed liquid actually separates[r] ...
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Identification of random shapes from images through polynomial chaos expansion of random level-set functions
... key words: Random geometry; Level-set method; Probabilistic identi cation; Polynomial chaos; Maximum likelihood; Extended stochastic nite element method. 1. Introduction The considerable in uence of ...
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A new surrogate modeling technique combining Kriging and polynomial chaos expansions – Application to uncertainty analysis in computational dosimetry
... the polynomial chaos expansions using least-angle regression as a selection algorithm to retain the most influential polynomials, this paper proposes to use the selected polynomials as regression functions ...
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Calculation of Generalized Polynomial-Chaos Basis Functions and Gauss Quadrature Rules in Hierarchical Uncertainty Quantification
... generalized polynomial chaos ...generalized polynomial-chaos basis functions and the Gauss quadrature rules that are required by a stochastic spectral ...
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On Continued Fraction Expansion of Real Roots of Polynomial Systems, Complexity and Condition Numbers
... 5. Complexity and Continued Fractions In this section we compute an upper bound on the complexity of the algorithm that exploits the continued fraction expansion of the real roots of the system. Hereafter, we ...
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A comparative study of generalized Polynomial Chaos based Approximations: integration vs. regression vs. collocation vs. kriging
... nient for experimental settings (in opposition to numerical experiments) and has been originately designed [25, 6, 21] for its ability to take into account experimental noise. The above property is emphasized in figure 4 ...
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A wavelet analysis of the Rosenblatt process: chaos expansion and estimation of the self-similarity parameter
... is a Rosenblatt process the number of vanishing moments Q plays no role. Our simulations illustrate the convergence of b V N (a) and of the estimator of H in this last case. Our results open other related questions: for ...
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