activity
20122020
most citedGeneralized Multiscale Finite Element Methods. Nonlinear Elliptic Equations

40 citations · 53 across the 6 of their papers we have counts for

collaborators

7 papers

math.NA2020

Online conservative generalized multiscale finite element method for flow models

Yiran Wang, Eric Chung, Shubin Fu +1

In this paper, we consider an online enrichment procedure using the Generalized Multiscale Finite Element Method (GMsFEM) in the context of a two-phase flow model in heterogeneous…

math.NA2015

A mass conservative generalized multiscale finite element method applied to two-phase flow in heterogeneous porous media

Michael Presho, Juan Galvis

In this paper, we propose a method for the construction of locally conservative flux fields through a variation of the Generalized Multiscale Finite Element Method (GMsFEM). The fl…

math.AP2013

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…

math.AP2013★ 40 cited

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…

math.AP2013

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…

physics.comp-ph2013★ 1 cited

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…

math.NA2012★ 12 cited

A resourceful splitting technique with applications to deterministic and stochastic multiscale finite element methods

Lijian Jiang, Michael Presho

In this paper we use a splitting technique to develop new multiscale basis functions for the multiscale finite element method (MsFEM). The multiscale basis functions are iterativel…