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A computational inverse method for identification of non-Gaussian random fields using the Bayesian approach in very high dimension

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References

1991Stochastic Finite Elements: A Spectral Approach5,753 cited
2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
2008Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics769 cited
2004Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure609 cited
2010Spectral methods for uncertainty quantification : with applications to computational fluid dynamics572 cited
2006Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures498 cited
2006Stochastic spectral methods for efficient Bayesian solution of inverse problems471 cited
2004Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes451 cited
2004Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation345 cited
2004Random matrix theory for modeling uncertainties in computational mechanics265 cited
2006Uncertainty propagation in CFD using polynomial chaos decomposition254 cited
2006On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data191 cited
2006On the treatment of uncertainties in structural mechanics and analysis184 cited

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2005

Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators

183 cited

2005Maximum likelihood estimation of stochastic chaos representations from experimental data146 cited

2008Construction of probability distributions in high dimension using the maximum entropy principle: Applications to stochastic processes, random fields and random matrices117 cited

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2018Bayesian adaptation of chaos representations using variational inference and sampling on geodesics24 cited
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