6 papers
Multicontinuum Generalized Multiscale Finite Element Method (MC-GMsFEM). Theory and applications to upscaling of two-phase flow
Mohammed Al Kobaisi, Dmitry Ammosov, Yalchin Efendiev +1
We develop a multicontinuum Generalized Multiscale Finite Element Method (MC-GMsFEM) for constructing coarse-scale models in heterogeneous media that simultaneously provide accurat…
Numerical homogenization for indefinite time-harmonic Maxwell equations
Yueqi Wang, Wing Tat Leung, Guanglian Li
We propose a novel numerical homogenization method based on the edge multiscale approach for solving indefinite time-harmonic Maxwell equations in heterogeneous media with large wa…
Dynamic nonlinear multicontinuum homogenization of systems with intrinsically evolving microstructure
Mohammed Al-Kobaisi, Dmitry Ammosov, Yalchin Efendiev +2
In this paper, we propose a multicontinuum homogenization approach for nonlinear problems involving dynamically evolving multiscale media. The main idea of the proposed approach is…
A Randomized GMsFEM with Data-Driven Predictors for Parametric Flow Problems in Multiscale Heterogeneous Media
Wing Tat Leung, Qiuqi Li, Songwei Liu
In this paper, we propose a randomized generalized multiscale finite element method (Randomized GMsFEM) for flow problems with parameterized inputs and high-contrast heterogeneous…
Some convergence analysis for multicontinuum homogenization
Wing Tat Leung
In this paper, we provide an analysis of a recently proposed multicontinuum homogenization technique. The analysis differs from those used in classical homogenization methods for s…
Multicontinuum splitting scheme for multiscale flow problems
Yalchin Efendiev, Wing Tat Leung, Buzheng Shan +1
In this paper, we propose multicontinuum splitting schemes for multiscale problems, focusing on a parabolic equation with a high-contrast coefficient. Using the framework of multic…