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A multiscale stochastic finite element method on elliptic problems involving uncertainties · Study

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ArticleA multiscale stochastic finite element method on elliptic problems involving uncertainties

Frank F. Xu2007

Article2007

A multiscale stochastic finite element method on elliptic problems involving uncertainties

99 citations·0/0 files stored·Computer Methods in Applied Mechanics and Engineering

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Probabilistic and Robust Engineering Design Advanced Numerical Methods in Computational Mathematics Advanced Mathematical Modeling in Engineering

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References

2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations 2005High-Order Collocation Methods for Differential Equations with Random Inputs 2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data 2004Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations 1980The stochastic finite-element method 2004Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations 1988The stochastic finite element method in structural reliability 1997A state-of-the-art report on computational stochastic mechanics

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2008Stochastic finite elements: Computational approaches to stochastic partial differential equations 2010Identification of high-dimension polynomial chaos expansions with random coefficients for non-Gaussian tensor-valued random fields using partial and limited experimental data 2012Sampling-free linear Bayesian update of polynomial chaos representations 2008Stochastic collocation and mixed finite elements for flow in porous media 2012

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Year2007

Typearticle

Published2007-02-15

VenueComputer Methods in Applied Mechanics and Engineering

ISSN-L0045-7825

Languageen

Citations99

Files0 public / 0

ShelfProbabilistic and Robust Engineering Design

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doi10.1016/j.cma.2007.02.002

openalex_workW2168258383

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