719 citations · 972 across the 29 of their papers we have counts for
5 papers · 1 filter
Delta shock wave for a hyperbolic system of conservation laws
Richard De la cruz, Juan C. Juajibioy, Juan Galvis +1
We study the one-dimensional Riemann problem for a hyperbolic system of three conservation laws of Temple class. This systems it is a simplification of a recently propose system of…
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…
Asymptotic expansions for high-contrast elliptic equations
Victor M. Calo, Yalchin Efendiev, Juan Galvis
In this paper, we present a high-order expansion for elliptic equations in high-contrast media. The background conductivity is taken to be one and we assume the medium contains hig…