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Stochastic Models of Uncertainties in Computational Mechanics
16 references·15 citing·24 second hop
Stochastic Models of Uncertainties in Computational Mechanics (2012)Stochastic Models of Uncertainties in Com…Spectral Methods for Uncertainty Quantification (2010)Spectral Methods for Uncertai…Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics (2008)Uncertainty Quantification an…Computational methods in optimization considering uncertainties – An overview (2008)Computational methods in opti…A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)A Sparse Grid Stochastic Coll…A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)A Stochastic Collocation Meth…Stochastic spectral methods for efficient Bayesian solution of inverse problems (2006)Stochastic spectral methods f…Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures (2006)Multi-Element Generalized Pol…An adaptive multi-element generalized polynomial chaos method for stochastic differential equations (2005)An adaptive multi-element gen…Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure (2004)Physical Systems with Random …Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations (2004)Galerkin methods for linear a…Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Modeling uncertainty in flow …The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Reliability-based structural optimization using neural networks and Monte Carlo simulation (2002)Reliability-based structural …Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos (2002)Modeling uncertainty in stead…A Stochastic Projection Method for Fluid Flow (2002)A Stochastic Projection Metho…A nonparametric model of random uncertainties for reduced matrix models in structural dynamics (2000)A nonparametric model of rand…An overview on uncertainty quantification and probabilistic learning on manifolds in multiscale mechanics of materials (2023)An overview on uncertainty qu…Structural uncertainty modeling for nonlinear geometric response using nonintrusive reduced order models (2020)Structural uncertainty modeli…Quantification of Uncertainties on the Critical Buckling Load of Columns under Axial Compression with Uncertain Random Materials (2019)Quantification of Uncertainti…Feasible Probabilistic Learning Method for Model-Form Uncertainty Quantification in Vibration Analysis (2019)Feasible Probabilistic Learni…Development of a Vibroacoustic Stochastic Finite Element Prediction Tool for a CLT Floor (2019)Development of a Vibroacousti…What is uncertainty quantification? 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this work references cited by second hop

References

  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited
  • 2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
  • 2010Spectral Methods for Uncertainty Quantification953 cited
  • 2008A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data942 cited
  • 2008Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics769 cited
  • 2004Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure609 cited
  • 2005An adaptive multi-element generalized polynomial chaos method for stochastic differential equations578 cited
  • 2008Computational methods in optimization considering uncertainties – An overview573 cited
  • 2004Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations556 cited
  • 2002Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos552 cited
  • 2002Reliability-based structural optimization using neural networks and Monte Carlo simulation516 cited
  • 2002A Stochastic Projection Method for Fluid Flow503 cited
  • 2006Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures

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498 cited
  • 2000A nonparametric model of random uncertainties for reduced matrix models in structural dynamics475 cited
  • 2006Stochastic spectral methods for efficient Bayesian solution of inverse problems471 cited
  • Cited by

    • 2014Post-buckling nonlinear static and dynamical analyses of uncertain cylindrical shells and experimental validation51 cited
    • 2019Quantification of Uncertainties on the Critical Buckling Load of Columns under Axial Compression with Uncertain Random Materials47 cited
    • 2023An overview on uncertainty quantification and probabilistic learning on manifolds in multiscale mechanics of materials38 cited
    • 2019Feasible Probabilistic Learning Method for Model-Form Uncertainty Quantification in Vibration Analysis38 cited
    • 2016Uncertainty quantification in computational linear structural dynamics for viscoelastic composite structures37 cited
    • 2017Modeling and Quantification of Physical Systems Uncertainties in a Probabilistic Framework24 cited
    • 2019Development of a Vibroacoustic Stochastic Finite Element Prediction Tool for a CLT Floor24 cited
    • 2013Bayesian posteriors of uncertainty quantification in computational structural dynamics for low-and medium-frequency ranges22 cited
    • 2018What is uncertainty quantification?21 cited
    • 2015STOCHASTIC REPRESENTATIONS AND STATISTICAL INVERSE IDENTIFICATION FOR UNCERTAINTY QUANTIFICATION IN COMPUTATIONAL MECHANICS17 cited
    • 2016A computational stochastic multiscale methodology for MEMS structures involving adhesive contact17 cited
    • 2017Random Matrix Models and Nonparametric Method for Uncertainty Quantification16 cited
    • 2015Interval elastoplastic analysis of structures14 cited
    • 2020Structural uncertainty modeling for nonlinear geometric response using nonintrusive reduced order models14 cited
    • 2016AN IMPROVEMENT OF THE UNCERTAINTY QUANTIFICATION IN COMPUTATIONAL STRUCTURAL DYNAMICS WITH NONLINEAR GEOMETRICAL EFFECTS12 cited