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A generalized uncertainty propagation criterion from benchmark studies of microstructured material systems
16 references·5 citing·36 second hop
A generalized uncertainty propagation criterion from benchmark studies of microstructured material systems (2012)A generalized uncertainty propagation cri…Numerical Methods for Stochastic Computations: A Spectral Method Approach (2010)Numerical Methods for Stochas…Fast Numerical Methods for Stochastic Computations: A Review (2009)Fast Numerical Methods for St…An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations (2009)An adaptive hierarchical spar…An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis (2009)An adaptive algorithm to buil…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…Statistical volume element method for predicting microstructure–constitutive property relations (2008)Statistical volume element me…Robust design with arbitrary distributions using Gauss-type quadrature formula (2008)Robust design with arbitrary …A comparative study of uncertainty propagation methods for black-box-type problems (2008)A comparative study of uncert…Karhunen–Loéve Expansion of Stochastic Processes with a Modified Exponential Covariance Kernel (2007)Karhunen–Loéve Expansion of S…Reliability-based Structural Design (2006)Reliability-based Structural …Ingredients for a general purpose stochastic finite elements implementation (1999)Ingredients for a general pur…Numerical solution of spectral stochastic finite element systems (1996)Numerical solution of spectra…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Random field finite elements (1986)Random field finite elementsProbabilistic finite elements for nonlinear structural dynamics (1986)Probabilistic finite elements…Uncertainty Quantification of Microstructures: A Perspective on Forward and Inverse Problems for Mechanical Properties of Aerospace Materials (2024)Uncertainty Quantification of…Hybrid uncertainty propagation based on multi-fidelity surrogate model (2024)Hybrid uncertainty propagatio…Quantification and propagation of Aleatoric uncertainties in topological structures (2023)Quantification and propagatio…Multiscale simulation of fiber composites with spatially varying uncertainties (2020)Multiscale simulation of fibe…New Metrics for Validation of Data-Driven Random Process Models in Uncertainty Quantification (2015)New Metrics for Validation of…Probability Concepts in Engineering Planning and Design (1975)Probabilistic Theory of Structural Dynamics (1976)The stochastic finite element method in structural reliability (1987)Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters (2006)Structural Reliability Methods (1996)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)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)Stochastic Differential Equations: An Introduction with Applications. 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References

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2009
A new sparse grid based method for uncertainty propagation
127 cited
  • 2008Robust design with arbitrary distributions using Gauss-type quadrature formula84 cited
  • Cited by

    • 2024Hybrid uncertainty propagation based on multi-fidelity surrogate model25 cited
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    • 2023Quantification and propagation of Aleatoric uncertainties in topological structures11 cited
    • 2015New Metrics for Validation of Data-Driven Random Process Models in Uncertainty Quantification10 cited
    • 2020Multiscale simulation of fiber composites with spatially varying uncertainties10 cited