40 citations · 53 across the 6 of their papers we have counts for
4 papers · 1 filter
Application of a conservative, generalized multiscale finite element method to flow models
Lawrence Bush, Victor Ginting, Michael Presho
In this paper we propose a method for the construction of locally conservative flux fields from Generalized Multiscale Finite Element Method (GMsFEM) pressure solutions. The flux v…
Generalized Multiscale Finite Element Methods. Nonlinear Elliptic Equations
Yalchin Efendiev, Juan Galvis, Guanglian Li +1
In this paper we use the GeneralizedMultiscale Finite ElementMethod (GMsFEM) framework, introduced in [20], in order to solve nonlinear elliptic equations with high-contrast coeffi…
Generalized Multiscale Finite Element Methods. Oversampling Strategies
Yalchin Efendiev, Juan Galvis, Guanglian Li +1
In this paper, we propose oversampling strategies in the Generalized Multiscale Finite Element Method (GMsFEM) framework. The GMsFEM, which has been recently introduced in [12], al…
Mode Decomposition Methods for Flows in High-Contrast Porous Media. Part II. Local-Global Approach
Mehdi Ghommem, Michael Presho, Victor M. Calo +1
In this paper, we combine concepts of the generalized multiscale finite element method and mode decomposition methods to construct a robust local-global approach for model reductio…