719 citations · 2.3k across the 72 of their papers we have counts for
7 papers · 2 filters
Multiscale stabilization for convection-dominated diffusion in heterogeneous media
Victor M. Calo, Eric T. Chung, Yalchin Efendiev +1
We develop a Petrov-Galerkin stabilization method for multiscale convection-diffusion transport systems. Existing stabilization techniques add a limited number of degrees of freedo…
Adaptive mixed GMsFEM for flows in heterogeneous media
Ho Yuen Chan, Eric T. Chung, Yalchin Efendiev
In this paper, we present two adaptive methods for the basis enrichment of the mixed Generalized Multiscale Finite Element Method (GMsFEM) for solving the flow problem in heterogen…
Sparse Generalized Multiscale Finite Element Methods and their applications
Eric Chung, Yalchin Efendiev, Wing Tat Leung +1
In a number of previous papers, local (coarse grid) multiscale model reduction techniques are developed using a Generalized Multiscale Finite Element Method. In these approaches, m…
An online generalized multiscale discontinuous Galerkin method (GMsDGM) for flows in heterogeneous media
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung
Offline computation is an essential component in most multiscale model reduction techniques. However, there are multiscale problems in which offline procedure is insufficient to gi…
Hierarchical multiscale modeling for flows in fractured media using Generalized Multiscale Finite Element Method
Yalchin Efendiev, Seong Lee, Guanglian Li +2
In this paper, we develop a multiscale finite element method for solving flows in fractured media. Our approach is based on Generalized Multiscale Finite Element Method (GMsFEM), w…
Residual-driven online Generalized Multiscale Finite Element Methods
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung
The construction of local reduced-order models via multiscale basis functions has been an area of active research. In this paper, we propose online multiscale basis functions which…
Generalized Multiscale Finite Element Methods for problems in perforated heterogeneous domains
Eric T. Chung, Yalchin Efendiev, Guanglian Li +1
Complex processes in perforated domains occur in many real-world applications. These problems are typically characterized by physical processes in domains with multiple scales (see…