719 citations · 972 across the 29 of their papers we have counts for
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math.NA2019
On condition numbers of symmetric and nonsymmetric domain decomposition methods
Juan Galvis
Using oblique projections and angles between subspaces we write condition number estimates for abstract nonsymmetric domain decomposition methods. In particular, we consider a rest…
math.NA2019★ 2 cited
Numerical upscaling of the free boundary dam problem in multiscale high-contrast media
Juan Galvis, Carlos Vásquez, Luis F. Contreras
In this paper, we address the numerical homogenization approximation of a free-boundary dam problem posed in a heterogeneous media. More precisely, we propose a generalized multisc…
math.NA2019★ 22 cited
A convergence analysis of Generalized Multiscale Finite Element Methods
Eduardo Abreu, Ciro Diaz, Juan Galvis
In this paper, we consider an approximation method, and a novel general analysis, for second-order elliptic differential equations with heterogeneous multiscale coefficients. We ob…