PreprintarXiv licencearXiv
Homogenization at a polynomial scale in high contrast
Abstract
We prove an upper bound on the homogenization length scale which is a fixed power of the coarse ellipticity ratio for coefficient fields that satisfy a finite range of dependence assumption.
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BibTeX
@misc{armstrong2026homogenization,
title = {{Homogenization at a polynomial scale in high contrast}},
author = {Scott Armstrong and Tuomo Kuusi and Amélie Loher},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.27647},
eprint = {2609.27647},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.27647},
}
RIS
TY - UNPB
TI - Homogenization at a polynomial scale in high contrast
AU - Scott Armstrong
AU - Tuomo Kuusi
AU - Amélie Loher
PY - 2026
DA - 2026/09/23
PB - arXiv
DO - 10.48550/arxiv.2609.27647
UR - https://arxiv.org/abs/2609.27647
AB - We prove an upper bound on the homogenization length scale which is a fixed power of the coarse ellipticity ratio for coefficient fields that satisfy a finite range of dependence assumption.
ER -