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Efficient numerical strategies for spectral stochastic finite element models

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References

1991Stochastic Finite Elements: A Spectral Approach5,753 cited
2004Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations556 cited
1996Numerical solution of spectral stochastic finite element systems294 cited
1987Basis random variables in finite element analysis125 cited
2003A multigrid solver for two-dimensional stochastic diffusion equations74 cited
2004Efficient iterative algorithms for the stochastic finite element method with application to acoustic scattering69 cited

Cited by

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2015Stochastic finite element analysis of structures in the presence of multiple imprecise random field parameters31 cited
2016Interval spectral stochastic finite element analysis of structures with aggregation of random field and bounded parameters28 cited
2013Generalized Neumann Expansion and Its Application in Stochastic Finite Element Methods24 cited
2011Efficient stochastic structural analysis using Guyan reduction23 cited
2009Recursive approach for random response analysis using non-orthogonal polynomial expansion18 cited
2017Stochastic analysis of moderately thick plates using the generalized polynomial chaos and element free Galerkin method18 cited

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2017

A random field model based on nodal integration domain for stochastic analysis of heat transfer problems

17 cited

2014Variational Theory and Computations in Stochastic Plasticity16 cited

2010Efficient solution for Galerkin-based polynomial chaos expansion systems16 cited

2012Variational formulations and functional approximation algorithms in stochastic plasticity of materials11 cited