5 papers · 1 filter
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…
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…
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…
Multicontinuum homogenization in perforated domains
Wei Xie, Yalchin Efendiev, Yunqing Huang +2
In this paper, we develop a general framework for multicontinuum homogenization in perforated domains. The simulations of problems in perforated domains are expensive and, in many…
CEM-GMsFEM for Poisson equations in heterogeneous perforated domains
Wei Xie, Yin Yang, Eric Chung +1
In this paper, we propose a novel multiscale model reduction strategy tailored to address the Poisson equation within heterogeneous perforated domains. The numerical simulation of…