Year: 2026
Type: article
Abstract: We develop a framework for multiscale analysis of elliptic operators with high-contrast random coefficients. For a general class of such operators, we provide a detailed spectral analysis of the corresponding homogenised limit operator. Under some lenient assumptions on the configuration of the random inclusions, we fully characterise the limit of the spectra of the high-contrast operators in question, which unlike in the periodic setting is shown to be different to the spectrum of the homogenised operator. Introducing a new notion of the relevant limiting spectrum , we describe the connection between these two sets.
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,990
Awards: Homogenization, dimension reduction and structural optimization in continuum mechanics, G2521264427, G2963551907, G3230876404, Homogenization and Optimization in Mechanics of Solids, G3408410167, G5245939702, ALL-OPTIcal signal processing on-Chip in hybrid III-V/ Si integrated platforms, G6319620625, Mathematical foundations of metamaterials: homogenisation, dissipation and operator theory, Quantitative tools for upscaling the micro-geometry of resonant media, G8578118188
OpenAlex ID: W7160284673