Homogenization and 3D-2D dimension reduction of a functional on manifold valued BV space
Abstract
We study the simultaneous homogenization and dimension reduction of an energy functional with linear growth defined on the space of manifold valued Sobolev functions. The study is carried out by $ \Gamma $-convergence, providing an integral representation result in the space of manifold constrained functions with bounded variation.
Fields of Study & Subjects
Mathematics and Applications
Computational Geometry and Mesh Generation
Advanced Numerical Analysis Techniques
Publication details
- Journal / source
- Mathematics in Engineering
- Volume
- 8
- Issue
- 3
- Pages
- 368–401
- Publication date
- 1 January 2026
- Language
- EN