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Fast surrogate modeling using dimensionality reduction in model inputs and field output: Application to additive manufacturing
16 references·8 citing·29 second hop
Fast surrogate modeling using dimensionality reduction in model inputs and field output: Application to additive manufacturing (2020)Fast surrogate modeling using dimensional…Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion (2014)Numerical methods for the dis…Active Subspace Methods in Theory and Practice: Applications to Kriging Surfaces (2014)Active Subspace Methods in Th…Efficient Bayesian inference of subsurface flow models using nested sampling and sparse polynomial chaos surrogates (2013)Efficient Bayesian inference …Adaptive Smolyak Pseudospectral Approximations (2013)Adaptive Smolyak Pseudospectr…Spectral methods for uncertainty quantification : with applications to computational fluid dynamics (2010)Spectral methods for uncertai…Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Adaptive sparse polynomial ch…Global Sensitivity Analysis Challenges in Biological Systems Modeling (2009)Global Sensitivity Analysis C…Sparse grid collocation schemes for stochastic natural convection problems (2007)Sparse grid collocation schem…Simulation of strongly non-Gaussian processes using Karhunen–Loeve expansion (2005)Simulation of strongly non-Ga…Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations (2004)Galerkin methods for linear a…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Simulation of second-order processes using Karhunen–Loeve expansion (2002)Simulation of second-order pr…Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates (2001)Global sensitivity indices fo…Ingredients for a general purpose stochastic finite elements implementation (1999)Ingredients for a general pur…Optimal Discretization of Random Fields (1993)Optimal Discretization of Ran…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Efficient 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Equations with Random Inputs (2005)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)Structural Reliability under Incomplete Probability Information (1986)Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes (2001)The PHI2 method: a way to compute time-variant reliability (2003)The stochastic finite element method: Past, present and future (2008)Simulation of multi-dimensional random fields by Karhunen–Loève expansion (2017)An explicit method for simulating non-Gaussian and non-stationary stochastic processes by Karhunen-Loève and polynomial chaos expansion (2018)Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty (2019)Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)A Stochastic 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References

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  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2010Adaptive sparse polynomial chaos expansion based on least angle regression1,507 cited
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  • 2010Spectral methods for uncertainty quantification : with applications to computational fluid dynamics572 cited
  • 2004Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations556 cited
  • 2007Sparse grid collocation schemes for stochastic natural convection problems401 cited
  • 1999Ingredients for a general purpose stochastic finite elements implementation401 cited
  • 2014Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion315 cited
  • 2002Simulation of second-order processes using Karhunen–Loeve expansion269 cited
  • 2014Active Subspace Methods in Theory and Practice: Applications to Kriging Surfaces267 cited
  • 2005Simulation of strongly non-Gaussian processes using Karhunen–Loeve expansion259 cited
  • 2013Adaptive Smolyak Pseudospectral Approximations169 cited

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  • 2009Global Sensitivity Analysis Challenges in Biological Systems Modeling144 cited
  • 2013Efficient Bayesian inference of subsurface flow models using nested sampling and sparse polynomial chaos surrogates99 cited
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    • 2022Benchmarking Active Subspace methods of global sensitivity analysis against variance-based Sobol' and Morris methods with established test functions18 cited
    • 2022Arbitrary multi-resolution multi-wavelet-based polynomial chaos expansion for data-driven uncertainty quantification18 cited
    • 2021Bayesian inverse uncertainty quantification of a MOOSE-based melt pool model for additive manufacturing using experimental data17 cited
    • 2025Efficient forward and inverse uncertainty quantification for dynamical systems based on dimension reduction and Kriging surrogate modeling in functional space13 cited
    • 2022High dimensional reliability analysis based on combinations of adaptive Kriging and dimension reduction technique12 cited