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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…