A Primer on Homogenization of Elliptic PDEs with Stationary and Ergodic Random Coefficient Functions
Probability
2015-08-20 v3
Abstract
We study the problem of characterizing the effective (homogenized) properties of materials whose diffusive properties are modeled with random fields. Focusing on elliptic PDEs with stationary and ergodic random coefficient functions, we provide a gentle introduction to the mathematical theory of homogenization of random media. We also present numerical examples to elucidate the theoretical concepts and results.
Keywords
Cite
@article{arxiv.1408.5827,
title = {A Primer on Homogenization of Elliptic PDEs with Stationary and Ergodic Random Coefficient Functions},
author = {Alen Alexanderian},
journal= {arXiv preprint arXiv:1408.5827},
year = {2015}
}
Comments
23 pages; corrected some minor typos; to appear in Rocky Mountain Journal of Mathematics