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On polynomial chaos expansion via gradient-enhanced ℓ1-minimization · Study

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ArticleOn polynomial chaos expansion via gradient-enhanced ℓ1-minimization

Ji Peng2016

OA

Articlebronze2016

On polynomial chaos expansion via gradient-enhanced ℓ1-minimization

Ji Peng · Jerrad Hampton · Alireza Doostan

72 citations·0/0 files stored·Journal of Computational Physics

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Probabilistic and Robust Engineering Design Model Reduction and Neural Networks Gaussian Processes and Bayesian Inference

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References

1991Stochastic Finite Elements: A Spectral Approach 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations 1986Design Sensitivity Analysis of Structural Systems 2005High-Order Collocation Methods for Differential Equations with Random Inputs 2010Numerical Methods for Stochastic Computations: A Spectral Method Approach 2010Spectral methods for uncertainty quantification : with applications to computational fluid dynamics 2011A non-adapted sparse approximation of PDEs with stochastic inputs 2006A Non-Intrusive Polynomial Chaos Method For Uncertainty Propagation in CFD Simulations

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2018Review of Robust Aerodynamic Design Optimization for Air Vehicles 2015Enhancing sparsity of Hermite polynomial expansions by iterative rotations 2019Multi-level multi-fidelity sparse polynomial chaos expansion based on Gaussian process regression 2018Basis adaptive sample efficient polynomial chaos (BASE-PC)2019An efficient and robust adaptive sampling method for polynomial chaos expansion in sparse Bayesian learning framework

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2015Compressive Sampling Methods for Sparse Polynomial Chaos Expansionschapter · 12 shared references 2018Sparse polynomial chaos expansions via compressed sensing and D-optimal designarticle · 9 shared references 2019Adaptive weighted least-squares polynomial chaos expansion with basis adaptivity and sequential adaptive samplingarticle · 9 shared references 2018Basis adaptive sample efficient polynomial chaos (BASE-PC)article · 9 shared references 2017Polynomial Surrogates for Open-Channel Flows in Random Steady Statearticle · 9 shared references 2014Stochastic finite element methods for partial differential equations with random input dataarticle · 8 shared references

Details

Year2016

Typearticle

Published2016-01-04

VenueJournal of Computational Physics

ISSN-L0021-9991

Languageen

Citations72

Files0 public / 0

ShelfProbabilistic and Robust Engineering Design

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doi10.1016/j.jcp.2015.12.049

openalex_workW649382544

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2018On the flow field and performance of a centrifugal pump under operational and geometrical uncertainties

2018Efficient uncertainty quantification of stochastic heat transfer problems by combination of proper orthogonal decomposition and sparse polynomial chaos expansion

2020Pygpc: A sensitivity and uncertainty analysis toolbox for Python