132 citations · 230 across the 29 of their papers we have counts for
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A Generalized Multiscale Finite Element Method for Poroelasticity Problems II: Nonlinear Coupling
Donald L. Brown, Maria Vasilyeva
In this paper, we consider the numerical solution of some nonlinear poroelasticity problems that are of Biot type and develop a general algorithm for solving nonlinear coupled syst…
A Generalized Multiscale Finite Element Method for Poroelasticity Problems I: Linear Problems
Donald L. Brown, Maria Vasilyeva
In this paper, we consider the numerical solution of poroelasticity problems that are of Biot type and develop a general algorithm for solving coupled systems. We discuss the chall…
Multiscale model reduction for shale gas transport in fractured media
I. Y. Akkutlu, Yalchin Efendiev, Maria Vasilyeva
In this paper, we develop a multiscale model reduction technique that describes shale gas transport in fractured media. Due to the pore-scale heterogeneities and processes, we use…
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…