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

Abstract : 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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https://hal-upec-upem.archives-ouvertes.fr/hal-03381362
Contributor : Christian Soize Connect in order to contact the contributor
Submitted on : Tuesday, December 14, 2021 - 6:40:00 PM
Last modification on : Sunday, June 26, 2022 - 3:25:35 AM
Long-term archiving on: : Tuesday, March 15, 2022 - 7:43:36 PM

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

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