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20242026
most citedCEM-GMsFEM for Poisson equations in heterogeneous perforated domains

7 citations · 13 across the 6 of their papers we have counts for

collaborators

7 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.NA2025★ 3 cited

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…

math.NA2025

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★ 1 cited

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

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…

math.NA2024★ 2 cited

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…

math.NA2024★ 7 cited

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…