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Analysis of a Polynomial Chaos-Kriging Metamodel for Uncertainty Quantification in Aerodynamics
16 references·4 citing·32 second hop
Analysis of a Polynomial Chaos-Kriging Metamodel for Uncertainty Quantification in Aerodynamics (2019)Analysis of a Polynomial Chaos-Kriging Me…Rare Event Estimation Using Polynomial-Chaos Kriging (2016)Rare Event Estimation Using P…POLYNOMIAL-CHAOS-BASED KRIGING (2015)POLYNOMIAL-CHAOS-BASED KRIGINGEnhancing ℓ1 -minimization estimates of polynomial chaos expansions using basis selection (2015)Enhancing ℓ1 -minimization es…A new surrogate modeling technique combining Kriging and polynomial chaos expansions – Application to uncertainty analysis in computational dosimetry (2015)A new surrogate modeling tech…Efficient computation of global sensitivity indices using sparse polynomial chaos expansions (2010)Efficient computation of glob…Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Adaptive sparse polynomial ch…An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis (2009)An adaptive algorithm to buil…Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics (2008)Uncertainty Quantification an…Sparse polynomial chaos expansions and adaptive stochastic finite elements using a regression approach (2008)Sparse polynomial chaos expan…Use of Kriging Models to Approximate Deterministic Computer Models (2005)Use of Kriging Models to Appr…The Design and Analysis of Computer Experiments (2003)The Design and Analysis of Co…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates (2001)Global sensitivity indices fo…Sensitivity Anaysis as an Ingredient of Modeling (2000)Sensitivity Anaysis as an Ing…Design and Analysis of Computer Experiments (1989)Design and Analysis of Comput…Cross validation of kriging in a unique neighborhood (1983)Cross validation of kriging i…Uncertainty Quantification for Aircraft Noise Emission Simulation: Methods and Limitations (2022)Uncertainty Quantification fo…A novel robust aerodynamic optimization technique coupled with adjoint solvers and polynomial chaos expansion (2022)A novel robust aerodynamic op…An Active Learning Polynomial Chaos Kriging metamodel for reliability assessment of marine structures (2021)An Active Learning Polynomial…RCA-PCK: A new structural reliability analysis method based on PC-Kriging and radial centralized adaptive sampling strategy (2020)RCA-PCK: A new structural rel…Stochastic Finite Elements: A Spectral Approach (1991)Factorial Sampling Plans for Preliminary Computational Experiments (1991)Verification, Validation, and Confirmation of Numerical Models in the Earth Sciences (1994)Sensitivity Analysis for Chemical Models (2005)Uncertainty and Sensitivity Analysis Techniques as Tools for the Quality Assessment of Composite Indicators (2005)The Future of Sensitivity Analysis: An essential discipline for systems modeling and policy support (2020)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)UQLab: A Framework for Uncertainty Quantification in Matlab (2014)Structural Reliability Methods (1996)Global sensitivity analysis using polynomial chaos expansions (2007)Reliability-based design optimization using kriging surrogates and subset simulation (2011)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)Point-Collocation Nonintrusive Polynomial Chaos Method for Stochastic Computational Fluid Dynamics (2010)A comprehensive framework for verification, validation, and uncertainty quantification in scientific computing (2011)Simulation-based optimal Bayesian experimental design for nonlinear systems (2012)STATISTICS FOR SPATIAL DATA (1992)Response Surface Methodology: Process and Product Optimization Using Designed Experiments (1996)Calculations of Sobol indices for the Gaussian process metamodel (2008)Efficient surrogate models for reliability analysis of systems with multiple failure modes (2011)DiceKriging , DiceOptim : Two R Packages for the Analysis of Computer Experiments by Kriging-Based Metamodeling and Optimization (2012)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index (2009)Taking the Human Out of the Loop: A Review of Bayesian Optimization (2015)A new uncertainty importance measure (2006)SALib: An open-source Python library for Sensitivity Analysis (2017)Adaptive approaches in metamodel-based reliability analysis: A review (2020)Sparse Polynomial Chaos Expansions: Literature Survey and Benchmark (2021)An Explicit Link between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation Approach (2011)A Review on Global Sensitivity Analysis Methods (2015)Sensitivity analysis: A review of recent advances (2015)
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References

  • 1989Design and Analysis of Computer Experiments6,958 cited
  • 2001Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates6,377 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2003The Design and Analysis of Computer Experiments2,204 cited
  • 2010Adaptive sparse polynomial chaos expansion based on least angle regression1,507 cited
  • 2005Use of Kriging Models to Approximate Deterministic Computer Models840 cited
  • 2009An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis834 cited
  • 2008Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics769 cited
  • 2000Sensitivity Anaysis as an Ingredient of Modeling607 cited
  • 2015POLYNOMIAL-CHAOS-BASED KRIGING398 cited
  • 2010Efficient computation of global sensitivity indices using sparse polynomial chaos expansions383 cited
  • 2016Rare Event Estimation Using Polynomial-Chaos Kriging279 cited
  • 2008Sparse polynomial chaos expansions and adaptive stochastic finite elements using a regression approach270 cited
  • 2015A new surrogate modeling technique combining Kriging and polynomial chaos expansions – Application to uncertainty analysis in computational dosimetry248 cited

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  • 1983Cross validation of kriging in a unique neighborhood204 cited
  • 2015Enhancing ℓ1 -minimization estimates of polynomial chaos expansions using basis selection174 cited
  • Cited by

    • 2021An Active Learning Polynomial Chaos Kriging metamodel for reliability assessment of marine structures22 cited
    • 2022Uncertainty Quantification for Aircraft Noise Emission Simulation: Methods and Limitations18 cited
    • 2022A novel robust aerodynamic optimization technique coupled with adjoint solvers and polynomial chaos expansion16 cited
    • 2020RCA-PCK: A new structural reliability analysis method based on PC-Kriging and radial centralized adaptive sampling strategy8 cited