First-order homogenization
We provide a first-order homogenization result for quadratic functionals. In particular, we identify the scaling of the energy and the explicit form of the limiting functional in terms of the first-order correctors. The main novelty of the paper is the use of the dual correspondence between quadratic functionals and PDEs, combined with a refinement of the classical Riemann–Lebesgue lemma.
Authors
- Riccardo Cristoferi (ORCID: https://orcid.org/0000-0001-7086-1269)
- Lorenza D’Elia (ORCID: https://orcid.org/0000-0002-2809-5553)
Institutions
- TU Wien (AT)
- Radboud University Nijmegen (NL)
Publication Details
- Journal
- Proceedings of the Royal Society of Edinburgh Section A Mathematics
- Published
- 2026-01-29
- DOI
- https://doi.org/10.1017/prm.2026.10125
- Primary Topic
- Composite Material Mechanics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Austrian Science Fund
- Nederlandse Organisatie voor Wetenschappelijk Onderzoek