Stochastic elliptic operators defined by non-Gaussian random fields with uncertain spectrum

Christian Soize · Theory of Probability and Mathematical Statistics · 2021

This paper presents a construction and the analysis of a class of non-Gaussian positive-definite matrix-valued homogeneous random fields with uncertain spectral measure for stochastic elliptic operators. Then the stochastic elliptic boundary value problem in a bounded domain of the 3D-space is introduced and analyzed for stochastic homogenization.

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