719 citations · 972 across the 29 of their papers we have counts for
5 papers · 1 filter
On the Riemann problem for the simplified Bouchut-Boyaval system
Richard A. De la cruz Guerrero, Juan Galvis, Juan Carlos Juajibioy +1
In this paper we study the one-dimensional Riemann problem for a new hyperbolic system of three conservation laws of Temple class. This systems it is a simplification of a recently…
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…
Generalized Multiscale Finite Element Method. Symmetric Interior Penalty Coupling
Y. Efendiev, J. Galvis, R. Lazarov +2
Motivated by applications to numerical simulation of flows in highly heterogeneous porous media, we develop multiscale finite element methods for second order elliptic equations. W…
Generalized Multiscale Finite Element Methods (GMsFEM)
Yalchin Efendiev, Juan Galvis, Thomas Y. Hou
In this paper, we propose a general approach called Generalized Multiscale Finite Element Method (GMsFEM) for performing multiscale simulations for problems without scale separatio…