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Imprecise random field analysis with parametrized kernel functions
16 references·10 citing·44 second hop
Imprecise random field analysis with parametrized kernel functions (2019)Imprecise random field analysis with para…Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty (2019)Recent Trends in the Modeling…Non-intrusive stochastic analysis with parameterized imprecise probability models: I. Performance estimation (2019)Non-intrusive stochastic anal…Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion (2014)Numerical methods for the dis…Imprecise probabilities in engineering analyses (2013)Imprecise probabilities in en…Stochastic analysis of structures with uncertain-but-bounded parameters via improved interval analysis (2011)Stochastic analysis of struct…Interval Monte Carlo methods for structural reliability (2010)Interval Monte Carlo methods …Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Adaptive sparse polynomial ch…The need for linking micromechanics of materials with stochastic finite elements: A challenge for materials science (2007)The need for linking micromec…Karhunen–Loéve Expansion of Stochastic Processes with a Modified Exponential Covariance Kernel (2007)Karhunen–Loéve Expansion of S…Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis (2006)Recent advances in non-probab…Simulation of strongly non-Gaussian processes using Karhunen–Loeve expansion (2005)Simulation of strongly non-Ga…Ingredients for a general purpose stochastic finite elements implementation (1999)Ingredients for a general pur…Simulation of Stationary Non-Gaussian Translation Processes (1998)Simulation of Stationary Non-…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Stochastic Finite Element Expansion for Random Media (1989)Stochastic Finite Element Exp…Stochastic Finite Element Analysis of Simple Beams (1983)Stochastic Finite Element Ana…Investigations on the restrictions of stochastic collocation methods for high dimensional and nonlinear engineering applications (2022)Investigations on the restric…Distribution-free P-box processes based on translation theory: Definition and simulation (2022)Distribution-free P-box proce…An efficient extreme value moment method combining adaptive Kriging model for time-variant imprecise reliability analysis (2022)An efficient extreme value mo…Shell Buckling With Polymorphic Uncertain Surface Imperfections and Sensitivity Analysis (2021)Shell Buckling With Polymorph…Polyphase uncertainty analysis through virtual modelling technique (2021)Polyphase uncertainty analysi…Operator Norm-Based Statistical Linearization to Bound the First Excursion Probability of Nonlinear Structures Subjected to Imprecise Stochastic Loading (2021)Operator Norm-Based Statistic…Efficient imprecise reliability analysis using the Augmented Space Integral (2021)Efficient imprecise reliabili…Uncertainty Quantification of Random Fields Based on Spatially Sparse Data by Synthesizing Bayesian Compressive Sensing and Stochastic Harmonic Function (2020)Uncertainty Quantification of…Imprecise random field analysis for non-linear concrete damage analysis (2020)Imprecise random field analys…On auto‐ and cross‐interdependence in interval field finite element analysis (2019)On auto‐ and cross‐interdepen…Neumann Expansion for Stochastic Finite Element Analysis (1988)Polynomial Chaos in Stochastic Finite Elements (1990)A nonparametric model of random uncertainties for reduced matrix models in structural dynamics (2000)A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics (2004)Probability Concepts in Engineering Planning and Design (1975)Aleatory or epistemic? 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this work references cited by second hop

References

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  • 2010Adaptive sparse polynomial chaos expansion based on least angle regression1,507 cited
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  • 2013Imprecise probabilities in engineering analyses505 cited
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  • 2014Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion315 cited
  • 1998Simulation of Stationary Non-Gaussian Translation Processes303 cited
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  • 2007Karhunen–Loéve Expansion of Stochastic Processes with a Modified Exponential Covariance Kernel131 cited

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2007
The need for linking micromechanics of materials with stochastic finite elements: A challenge for materials science
106 cited
  • 2019Non-intrusive stochastic analysis with parameterized imprecise probability models: I. Performance estimation87 cited
  • Cited by

    • 2021Efficient imprecise reliability analysis using the Augmented Space Integral34 cited
    • 2022An efficient extreme value moment method combining adaptive Kriging model for time-variant imprecise reliability analysis34 cited
    • 2020Uncertainty Quantification of Random Fields Based on Spatially Sparse Data by Synthesizing Bayesian Compressive Sensing and Stochastic Harmonic Function30 cited
    • 2021Polyphase uncertainty analysis through virtual modelling technique27 cited
    • 2019On auto‐ and cross‐interdependence in interval field finite element analysis23 cited
    • 2020Imprecise random field analysis for non-linear concrete damage analysis21 cited
    • 2022Investigations on the restrictions of stochastic collocation methods for high dimensional and nonlinear engineering applications20 cited
    • 2022Distribution-free P-box processes based on translation theory: Definition and simulation16 cited
    • 2021Operator Norm-Based Statistical Linearization to Bound the First Excursion Probability of Nonlinear Structures Subjected to Imprecise Stochastic Loading13 cited
    • 2021Shell Buckling With Polymorphic Uncertain Surface Imperfections and Sensitivity Analysis12 cited