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Reconstruction of Porous Media Using Karhunen-Loève Expansion
3 references·3 citing·17 second hop
Reconstruction of Porous Media Using Karhunen-Loève Expansion (2012)Reconstruction of Porous Media Using Karh…Karhunen–Loéve Expansion of Stochastic Processes with a Modified Exponential Covariance Kernel (2007)Karhunen–Loéve Expansion of S…Probabilistic characterization of transport in heterogeneous media (1998)Probabilistic characterizatio…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…An efficient stochastic framework to propagate the effect of the random solid-pore geometry of porous media on the pore-scale flow (2016)An efficient stochastic frame…Numerical solution of the Karhunen–Loeve integral equation with examples based on various kernels derived from the Nataf procedure (2014)Numerical solution of the Kar…Modelling non-Gaussian uncertainties and the Karhunen–Loéve expansion within the context of polynomial chaos (2014)Modelling non-Gaussian uncert…Structural Reliability under Incomplete Probability Information (1986)Correlation and Dependence (2001)Polynomial chaos functions and stochastic differential equations (2006)Spectral Methods for Uncertainty Quantification (2010)Stochastic Finite Element Expansion for Random Media (1989)The Nonlinear Gaussian Spectrum of Log-Normal Stochastic Processes and Variables (1999)Uncertainty quantification in chemical systems (2009)Polynomial chaos expansions for uncertainty propagation and moment independent sensitivity analysis of seawater intrusion simulations (2014)Solution of stochastic partial differential equations using Galerkin finite element techniques (2001)Reliability assessment in structural dynamics (2013)A stochastic harmonic function representation for non-stationary stochastic processes (2017)Simulation of non-stationary non-Gaussian random fields from sparse measurements using Bayesian compressive sampling and Karhunen-Loève expansion (2019)Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)
this work references cited by second hop

References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 1998Probabilistic characterization of transport in heterogeneous media166 cited
  • 2007Karhunen–Loéve Expansion of Stochastic Processes with a Modified Exponential Covariance Kernel131 cited

Cited by

  • 2014Numerical solution of the Karhunen–Loeve integral equation with examples based on various kernels derived from the Nataf procedure9 cited
  • 2014Modelling non-Gaussian uncertainties and the Karhunen–Loéve expansion within the context of polynomial chaos6 cited
  • 2016An efficient stochastic framework to propagate the effect of the random solid-pore geometry of porous media on the pore-scale flow5 cited

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