3 papers
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…
math.NA2025
Robust space-time multiscale upscaling via multicontinuum homogenization for evolving perforated media
Wei Xie, Viet Ha Hoang, Yin Yang +1
Time-evolving perforated domains arise in many engineering and geoscientific applications, including reactive transport, particle deposition, and structural degradation in porous m…