719 citations · 2.3k across the 72 of their papers we have counts for
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Randomized Oversampling for Generalized Multiscale Finite Element Methods
Victor M. Calo, Y. Efendiev, Juan Galvis +1
In this paper, we study the development of efficient multiscale methods for flows in heterogeneous media. Our approach uses the Generalized Multiscale Finite Element (GMsFEM) frame…
An adaptive generalized multiscale discontinuous Galerkin method (GMsDGM) for high-contrast flow problems
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung
In this paper, we develop an adaptive Generalized Multiscale Discontinuous Galerkin Method (GMs-DGM) for a class of high-contrast flow problems, and derive a-priori and a-posterior…
Generalized Multiscale Finite-Element Method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media
Kai Gao, Shubin Fu, Richard L. Gibson +2
It is important to develop fast yet accurate numerical methods for seismic wave propagation to characterize complex geological structures and oil and gas reservoirs. However, the c…
Generalized Multiscale Finite Element Method for Elasticity Equations
Eric T. Chung, Yalchin Efendiev, Shubin Fu
In this paper, we discuss the application of Generalized Multiscale Finite Element Method (GMsFEM) to elasticity equation in heterogeneous media. Our applications are motivated by…
Global-Local Nonlinear Model Reduction for Flows in Heterogeneous Porous Media
Manal Alotaibi, Victor M. Calo, Yalchin Efendiev +2
In this paper, we combine discrete empirical interpolation techniques, global mode decomposition methods, and local multiscale methods, such as the Generalized Multiscale Finite El…
Mixed Generalized Multiscale Finite Element Methods and Applications
Eric T. Chung, Yalchin Efendiev, Chak Shing Lee
In this paper, we present a mixed Generalized Multiscale Finite Element Method (GMsFEM) for solving flow in heterogeneous media. Our approach constructs multiscale basis functions…
Multilevel Markov Chain Monte Carlo Method for High-Contrast Single-Phase Flow Problems
Yalchin Efendiev, Bangti Jin, Michael Presho +1
In this paper we propose a general framework for the uncertainty quantification of quantities of interest for high-contrast single-phase flow problems. It is based on the generaliz…
Homogenization of the evolution Stokes equation in a perforated domain with a stochastic Fourier boundary condition
Hakima Bessaih, Yalchin Efendiev, Florian Maris
The evolution Stokes equation in a perforated domain subject to Fourier boundary condition on the boundaries of the holes is considered. We assume that the dynamic is driven by a s…