2 papers
math.NA2026
A Domain-specific adaptation network for elliptic interface problems
Jiaqi Luo, Hongmei Kang, Xingye Yue +1
Deep learning provides a flexible mesh-free framework for solving elliptic interface problems. However, domain-specific neural approaches often rely on separate networks for indivi…
math-ph2013
Homogenization: in Mathematics or Physics?
Shixin Xu, Changrong Zhang, Xingye Yue
Homogenization appeared more than 100 years ago. It is an approach to study the macro-behavior of a medium by its micro-properties. In mathematics, homogenization theory considers…