Computational modeling of microstructure
Numerical Analysis
2025-10-20 v1 Numerical Analysis
Abstract
Many materials such as martensitic or ferromagnetic crystals are observed to be in metastable states exhibiting a fine-scale, structured spatial oscillation called microstructure; and hysteresis is observed as the temperature, boundary forces, or external magnetic field changes. We have developed a numerical analysis of microstructure and used this theory to construct numerical methods that have been used to compute approximations to the deformation of crystals with microstructure.
Cite
@article{arxiv.math/0305005,
title = {Computational modeling of microstructure},
author = {Mitchell Luskin},
journal= {arXiv preprint arXiv:math/0305005},
year = {2025}
}