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Multi-fidelity uncertainty quantification method with application to nonlinear structural response analysis
16 references·0 citing·48 second hop
Multi-fidelity uncertainty quantification method with application to nonlinear structural response analysis (2019)Multi-fidelity uncertainty quantification…A Tutorial on Bayesian Inference to Identify Material Parameters in Solid Mechanics (2019)A Tutorial on Bayesian Infere…Identifying elastoplastic parameters with Bayes’ theorem considering output error, input error and model uncertainty (2018)Identifying elastoplastic par…A dimension-wise method and its improvement for multidisciplinary interval uncertainty analysis (2018)A dimension-wise method and i…A robust optimization approach based on multi-fidelity metamodel (2017)A robust optimization approac…Statistical analysis of differential equations: introducing probability measures on numerical solutions (2016)Statistical analysis of diffe…Multi-fidelity non-intrusive polynomial chaos based on regression (2016)Multi-fidelity non-intrusive …Enhancing ℓ1 -minimization estimates of polynomial chaos expansions using basis selection (2015)Enhancing ℓ1 -minimization es…Towards efficient uncertainty quantification in complex and large-scale biomechanical problems based on a Bayesian multi-fidelity scheme (2014)Towards efficient uncertainty…Multifidelity approaches for optimization under uncertainty (2014)Multifidelity approaches for …Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Review of uncertainty-based m…A comprehensive framework for verification, validation, and uncertainty quantification in scientific computing (2011)A comprehensive framework for…A Stochastic Collocation Method for Uncertainty Quantification and Propagation in Cardiovascular Simulations (2010)A Stochastic Collocation Meth…Computational methods in optimization considering uncertainties – An overview (2008)Computational methods in opti…An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)An Anisotropic Sparse Grid St…Polynomial Chaos Expansion with Latin Hypercube Sampling for Estimating Response Variability (2004)Polynomial Chaos Expansion wi…Error and uncertainty in modeling and simulation (2002)Error and uncertainty in mode…Multilevel Monte Carlo Path Simulation (2008)INTRODUCTION TO STOCHASTIC SEARCH AND OPTIMIZATION: ESTIMATION, SIMULATION, AND CONTROL (2012)Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients (2013)Multifidelity importance sampling (2015)Surrogate-assisted global sensitivity analysis: an overview (2020)Modeling, analysis, and optimization under uncertainties: a review (2021)Stochastic Finite Elements: A Spectral Approach (1991)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations (2009)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)A non-adapted sparse approximation of PDEs with stochastic inputs (2011)Structural Reliability Methods (1996)Estimation of small failure probabilities in high dimensions by subset simulation (2001)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)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Global sensitivity analysis using polynomial chaos expansions (2007)Metamodel-Based Sensitivity Analysis: Polynomial Chaos Expansions and Gaussian Processes (2015)Sparse polynomial chaos expansions via compressed sensing and D-optimal design (2018)Fuzzy sets (1965)Fuzzy sets (1996)Global Sensitivity Analysis. 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References

  • 2011A comprehensive framework for verification, validation, and uncertainty quantification in scientific computing810 cited
  • 2002Error and uncertainty in modeling and simulation629 cited
  • 2008Computational methods in optimization considering uncertainties – An overview573 cited
  • 2011Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles516 cited
  • 2008An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data494 cited
  • 2004Polynomial Chaos Expansion with Latin Hypercube Sampling for Estimating Response Variability218 cited
  • 2014Multifidelity approaches for optimization under uncertainty198 cited
  • 2015Enhancing ℓ1 -minimization estimates of polynomial chaos expansions using basis selection174 cited
  • 2019A Tutorial on Bayesian Inference to Identify Material Parameters in Solid Mechanics153 cited
  • 2010A Stochastic Collocation Method for Uncertainty Quantification and Propagation in Cardiovascular Simulations146 cited
  • 2018A dimension-wise method and its improvement for multidisciplinary interval uncertainty analysis114 cited
  • 2014Towards efficient uncertainty quantification in complex and large-scale biomechanical problems based on a Bayesian multi-fidelity scheme99 cited
  • 2018Identifying elastoplastic parameters with Bayes’ theorem considering output error, input error and model uncertainty97 cited

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  • 2016Multi-fidelity non-intrusive polynomial chaos based on regression83 cited
  • 2016Statistical analysis of differential equations: introducing probability measures on numerical solutions75 cited
  • 2017A robust optimization approach based on multi-fidelity metamodel69 cited
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