Numerical study in stochastic homogenization for elliptic partial differential equations: Convergence rate in the size of representative volume elements-Reference-Cited by-同舟云学术

Numerical study in stochastic homogenization for elliptic partial differential equations: Convergence rate in the size of representative volume elements

Published:2020-03-16 Issue:3 Volume:27 Page:
ISSN:1070-5325
Container-title:Numerical Linear Algebra with Applications
language:en
Short-container-title:Numer Linear Algebra Appl

Author:

Khoromskaia Venera¹²,Khoromskij Boris N.¹^ORCID,Otto Felix¹

Affiliation:

1. Max Planck Institute for Mathematics in the Sciences Leipzig Germany

2. Max Planck Institute for Dynamics of Complex Technical Systems Magdeburg Germany

Publisher

Wiley

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/nla.2296

Reference18 articles.

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2. Determination of the size of the representative volume element for random composites: statistical and numerical approach

3. Examples of computational approaches for elliptic, possibly multiscale PDEs with random inputs

4. An optimal variance estimate in stochastic homogenization of discrete elliptic equations

5. GloriaA OttoF. The corrector in stochastic homogenization: near‐optimal rates with optimal stochastic integrability;2016.http://arxiv.org/abs/1510.08290.

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