Results 111 to 120 of about 3,355 (214)
Description of random level sets by polynomial chaos expansions
Communications in Mathematical SciencesWe present a novel approach to determine the evolution of level sets under uncertainties in the velocity fields. This leads to a stochastic description of the level sets. To compute the quantiles of random level sets, we use the stochastic Galerkin method for a hyperbolic reformulation of the level-set equations.
Markus Bambach +3 more
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Polynomial chaos expansion for nonlinear geophysical inverse problems
, 2017 There are lots of geophysical problems that include computationally expensive functions (forward models). Polynomial chaos (PC) expansion aims to approximate such an expensive equation or system with a polynomial expansion on the basis of orthogonal ...
Ali Gholami, Mostafa Abbasi
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Solving stochastic AC power flow via polynomial chaos expansion
, 2016 The present contribution demonstrates the applicability of polynomial chaos expansion to stochastic (optimal) AC power flow problems that arise in the operation of power grids. For rectangular power flow, polynomial chaos expansion together with Galerkin
Mühlpfordt, Tillmann +2 more
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, 2015 Structural uncertainties greatly influence the dynamic responses of engineering structures. This work examines the variability in the frequency responses of a simply supported plate with uncertainties in its Young's modulus and damping.
Kessissoglou, Nicole +3 more
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STOCHASTIC FINITE ELEMENT MODEL UPDATING BASED ON POLYNOMIAL CHAOTIC EXPANSION AND KL DIVERGENCE
Jixie qiangdu, 2021 Considering the influence of structural parameter uncertainty on response and the problem of large calculation of stochastic model updating, a stochastic finite element model updating method based on polynomial chaotic expansion and KL divergence is ...
XU ZeWei +3 more
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AIP AdvancesIn today’s industrial context, maintaining precision in automated systems, particularly in high-degree-of-freedom robotic manipulators, is critical for achieving optimal performance and computational efficiency.
Keenjhar Ayoob +3 more
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, 2012 International audienceThe sparse polynomial chaos expansion (SPCE) methodology is an efficient approach that deals with uncertainties propagation in case of high-dimensional problems (i.e. when a large number of random variables is involved).
Soubra, Abdul-Hamid, Al-Bittar, Tamara
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Reliable Computational Predictions by Modeling Uncertainties Using Arbitrary Polynomial Chaos
, 2006 Inherent physical uncertainties can have a significant influence on computational predictions. It is therefore important to take physical uncertainties into account to obtain more reliable computational predictions.
Bijl, H. +3 more
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Reliability-Based Design Optimization Applied to a Rotor Supported by Hydrodynamic Bearings
MachinesRotating machines are an important part of industrial equipment. It is essential to improve their performance while reducing the manufacturing, operating, and maintenance costs.
Helio Fiori de Castro +2 more
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Emulation of environmental models using polynomial chaos expansion
Environmental Modelling & Software, 2019 Abstract This paper investigates the applicability of model emulation to speed up simulation time of CPU intensive environmental models. Polynomial chaos expansion (PCE) emulators are constructed for three case studies of increasing complexity.
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