5 papers
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…
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…
Multicontinuum Modeling of Time-Fractional Diffusion-Wave Equation in Heterogeneous Media
Huiran Bai, Dmitry Ammosov, Yin Yang +2
This paper considers a time-fractional diffusion-wave equation with a high-contrast heterogeneous diffusion coefficient. A numerical solution to this problem can present great comp…