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Stochastic projection schemes for deterministic linear elliptic partial differential equations on random domains

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References

1991Stochastic Finite Elements: A Spectral Approach5,753 cited
2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited
2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
1999General foundations of high‐dimensional model representations905 cited
2002Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos552 cited
2008An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data494 cited
2003Theorems and examples on high dimensional model representation450 cited
2007Sparse grid collocation schemes for stochastic natural convection problems401 cited
2004Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation345 cited
2007Efficient Collocational Approach for Parametric Uncertainty Analysis309 cited
2008The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications214 cited
2006On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data191 cited
2008Evaluation of Non-Intrusive Approaches for Wiener-Askey Generalized Polynomial Chaos

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187 cited

2009Recent Developments in Spectral Stochastic Methods for the Numerical Solution of Stochastic Partial Differential Equations181 cited

2006Numerical Methods for Differential Equations in Random Domains163 cited

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