3 papers
math.NA2026
Adaptive multiscale model reduction for linear elasticity equation in perforated domains
Wei Xie, Eric Chung, Yin Yang +1
In this paper, we develop a Constraint Energy Minimizing Generalized Multiscale Finite Element Method (CEM-GMsFEM) for solving linear elasticity problems in heterogeneous perforate…
math.NA2026
A residual driven multiscale method for Darcy's flow in perforated domains
Wei Xie, Shubin Fu, Yin Yang +1
In this paper, we present a residual-driven multiscale method for simulating Darcy flow in perforated domains, where complex geometries and highly heterogeneous permeability make d…
math.NA2025
A hierarchical approach for multicontinuum homogenization in high contrast media
Wei Xie, Viet Ha Hoang, Yin Yang +1
A recently developed upscaling technique, the multicontinuum homogenization method, has gained significant attention for its effectiveness in modeling complex multiscale systems. T…