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Hierarchical stochastic metamodels based on moving least squares and polynomial chaos expansion
16 references·7 citing·42 second hop
Hierarchical stochastic metamodels based on moving least squares and polynomial chaos expansion (2010)Hierarchical stochastic metamodels based …Reliability-Based Optimization Using Evolutionary Algorithms (2009)Reliability-Based Optimizatio…A new sparse grid based method for uncertainty propagation (2009)A new sparse grid based metho…The stochastic finite element method: Past, present and future (2008)The stochastic finite element…Sparse polynomial chaos expansions and adaptive stochastic finite elements using a regression approach (2008)Sparse polynomial chaos expan…Polynomial chaos expansion for sensitivity analysis (2008)Polynomial chaos expansion fo…Evaluation of Non-Intrusive Approaches for Wiener-Askey Generalized Polynomial Chaos (2008)Evaluation of Non-Intrusive A…Computational methods in optimization considering uncertainties – An overview (2008)Computational methods in opti…Aleatory or epistemic? Does it matter? (2008)Aleatory or epistemic? Does i…Robust optimization – A comprehensive survey (2007)Robust optimization – A compr…Robust design using Bayesian Monte Carlo (2007)Robust design using Bayesian …A non-intrusive stochastic Galerkin approach for modeling uncertainty propagation in deformation processes (2006)A non-intrusive stochastic Ga…A user's guide to Sandia's latin hypercube sampling software : LHS UNIX library/standalone version. (2004)A user's guide to Sandia's la…Multi-objective reliability-based optimization of prestressed concrete beams (2003)Multi-objective reliability-b…Reliability Assessment Using Stochastic Finite Element Analysis (2001)Reliability Assessment Using …Reliability Assessment Using Stochastic Finite Element Analysis (2000)Reliability Assessment Using …Numerical solution of spectral stochastic finite element systems (1996)Numerical solution of spectra…A novel sparse polynomial chaos expansion technique with high adaptiveness for surrogate modelling (2023)A novel sparse polynomial cha…A sequential metamodel-based method for structural optimization under uncertainty (2020)A sequential metamodel-based …Sensitivity analysis based on non-intrusive regression-based polynomial chaos expansion for surgical mesh modelling (2017)Sensitivity analysis based on…Reliability analysis of structures using stochastic response surface method and saddlepoint approximation (2016)Reliability analysis of struc…Reliability based optimization in aeroelastic stability problems using polynomial chaos based metamodels (2015)Reliability based optimizatio…Reliability Analysis With Model Uncertainty Coupling With Parameter and Experiment Uncertainties: A Case Studyof 2014 Verification and Validation Challenge Problem (2015)Reliability Analysis With Mod…Challenges and future trends in Uncertainty-Based Multidisciplinary Design Optimization for space transportation system design (2013)Challenges and future trends …Stochastic Finite Elements: A Spectral Approach (1991)Structural Reliability Methods (1996)Estimation of small failure probabilities in high dimensions by subset simulation (2001)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)A Chebyshev interval method for nonlinear dynamic systems under uncertainty (2012)Probability-interval hybrid uncertainty analysis for structures with both aleatory and epistemic uncertainties: a review (2017)A Stochastic Approximation Method (1951)Design and Analysis of Computer Experiments (1989)Fuzzy sets (1996)Robust possibilistic programming for socially responsible supply chain network design: A new approach (2012)Structural Reliability under Incomplete Probability Information (1986)Optimal Discretization of Random Fields (1993)Comparison of finite element reliability methods (2002)Uncertainty propagation in CFD using polynomial chaos decomposition (2006)Stochastic finite element methods for partial differential equations with random input data (2014)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion (2012)Stochastic analysis of the fracture toughness of polymeric nanoparticle composites using polynomial chaos expansions (2017)Sensitivity and uncertainty analysis for flexoelectric nanostructures (2018)The Logic of Scientific Discovery. (1960)Logic of Scientific Discovery, The (2010)Reliability-based design optimization using kriging surrogates and subset simulation (2011)Imprecise probabilities in engineering analyses (2013)Variable importance analysis: A comprehensive review (2015)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Rare Event Estimation Using Polynomial-Chaos Kriging (2016)Adaptive approaches in metamodel-based reliability analysis: A review (2020)Sparse Polynomial Chaos Expansions: Literature Survey and Benchmark (2021)Exact and Invariant Second-Moment Code Format (1974)Multiobjective Decision Making: Theory and Methodology (1983)A Critical Review of Surrogate Assisted Robust Design Optimization (2017)A Comparative Study of Metaheuristic Algorithms for Reliability-Based Design Optimization Problems (2020)A novel hybrid adaptive Kriging and water cycle algorithm for reliability-based design and optimization strategy: Application in offshore wind turbine monopile (2023)A survey of non-probabilistic uncertainty treatment in finite element analysis (2004)Assessment of the efficiency of Kriging surrogate models for structural reliability analysis (2014)Reliability analysis of structures by iterative improved response surface method (2016)Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion (2014)Direct probability integral method for stochastic response analysis of static and dynamic structural systems (2019)Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty (2019)Comparison of response surface and neural network with other methods for structural reliability analysis (2003)
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References

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  • 2006A non-intrusive stochastic Galerkin approach for modeling uncertainty propagation in deformation processes86 cited
  • 2003

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Multi-objective reliability-based optimization of prestressed concrete beams
59 cited
  • 2007Robust design using Bayesian Monte Carlo54 cited
  • Cited by

    • 2020A sequential metamodel-based method for structural optimization under uncertainty33 cited
    • 2016Reliability analysis of structures using stochastic response surface method and saddlepoint approximation28 cited
    • 2015Reliability based optimization in aeroelastic stability problems using polynomial chaos based metamodels25 cited
    • 2017Sensitivity analysis based on non-intrusive regression-based polynomial chaos expansion for surgical mesh modelling24 cited
    • 2015Reliability Analysis With Model Uncertainty Coupling With Parameter and Experiment Uncertainties: A Case Studyof 2014 Verification and Validation Challenge Problem13 cited
    • 2013Challenges and future trends in Uncertainty-Based Multidisciplinary Design Optimization for space transportation system design12 cited
    • 2023A novel sparse polynomial chaos expansion technique with high adaptiveness for surrogate modelling11 cited