Stochastic elliptic operators defined by non-Gaussian random fields with uncertain spectrum - Archive ouverte HAL
Article Dans Une Revue Theory of Probability and Mathematical Statistics Année : 2021

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

Résumé

This paper presents a construction and the analysis of a class of non-Gaussian positive-de nite matrix-valued homogeneous random elds 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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Dates et versions

hal-03381362 , version 1 (14-12-2021)

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Christian Soize. Stochastic elliptic operators defined by non-Gaussian random fields with uncertain spectrum. Theory of Probability and Mathematical Statistics, 2021, 105, pp.113-136. ⟨10.1090/tpms/1159⟩. ⟨hal-03381362⟩
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