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Uncertainty quantification for multiscale disk forging of polycrystal materials using probabilistic graphical model techniques
6 references·0 citing·19 second hop
Uncertainty quantification for multiscale disk forging of polycrystal materials using probabilistic graphical model techniques (2014)Uncertainty quantification for multiscale…A probabilistic graphical model approach to stochastic multiscale partial differential equations (2013)A probabilistic graphical mod…A multiscale approach for model reduction of random microstructures (2012)A multiscale approach for mod…Microstructure model reduction and uncertainty quantification in multiscale deformation processes (2010)Microstructure model reductio…The effect of multiple sources of uncertainty on the convex hull of material properties of polycrystals (2009)The effect of multiple source…An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations (2009)An adaptive hierarchical spar…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Spatial Interaction and the Statistical Analysis of Lattice Systems (1974)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Modeling diffusion in random heterogeneous media: Data-driven models, stochastic collocation and the variational multiscale method (2007)Inherently Safer Design (2016)Uncertainty quantification and sensitivity analysis of material parameters in crystal plasticity finite element models (2018)Uncertainty Quantification of Microstructures: A Perspective on Forward and Inverse Problems for Mechanical Properties of Aerospace Materials (2024)Stochastic Differential Equations: An Introduction with Applications. (1987)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)Stochastic finite element methods for partial differential equations with random input data (2014)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Uncertainty analysis in multiscale modeling of concrete based on continuum micromechanics (2017)An uncertainty quantification framework for multiscale parametrically homogenized constitutive models (PHCMs) of polycrystalline Ti alloys (2021)Stochastic multiscale modeling for quantifying statistical and model errors with application to composite materials (2023)Stochastic Design Optimization of Microstructures with Utilization of a Linear Solver (2017)Uncertainty Quantification of Microstructural Properties due to Experimental Variations (2017)
this work references cited by second hop

References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2009An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations447 cited
  • 2009The effect of multiple sources of uncertainty on the convex hull of material properties of polycrystals36 cited
  • 2010Microstructure model reduction and uncertainty quantification in multiscale deformation processes35 cited
  • 2012A multiscale approach for model reduction of random microstructures21 cited
  • 2013A probabilistic graphical model approach to stochastic multiscale partial differential equations17 cited

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