719 citations · 972 across the 29 of their papers we have counts for
7 papers · 1 filter
Asymptotic Expansions for High-Contrast Linear Elasticity
Leonardo A. Poveda, Sebastian Huepo, Victor M. Calo +1
We study linear elasticity problems with high contrast in the coefficients using asymptotic limits recently introduced. We derive an asymptotic expansion to solve heterogeneous ela…
Localized Harmonic Characteristic Basis Functions for Multiscale Finite Element Methods
Leonardo A. Poveda, Sebastian Huepo, Victor M. Calo +1
We solve elliptic systems of equations posed on highly heterogeneous materials. Examples of this class of problems are composite structures and geological processes. We focus on a…
Randomized Oversampling for Generalized Multiscale Finite Element Methods
Victor M. Calo, Y. Efendiev, Juan Galvis +1
In this paper, we study the development of efficient multiscale methods for flows in heterogeneous media. Our approach uses the Generalized Multiscale Finite Element (GMsFEM) frame…
Global-Local Nonlinear Model Reduction for Flows in Heterogeneous Porous Media
Manal Alotaibi, Victor M. Calo, Yalchin Efendiev +2
In this paper, we combine discrete empirical interpolation techniques, global mode decomposition methods, and local multiscale methods, such as the Generalized Multiscale Finite El…
Multiscale Empirical Interpolation for Solving Nonlinear PDEs using Generalized Multiscale Finite Element Methods
Victor Calo, Yalchin Efendiev, Juan Galvis +1
In this paper, we propose a multiscale empirical interpolation method for solving nonlinear multiscale partial differential equations. The proposed method combines empirical interp…
A Generalized Multiscale Finite Element Method for the Brinkman Equation
Guanglian Li, Juan Galvis, Ke Shi
In this paper we consider the numerical upscaling of the Brinkman equation in the presence of high-contrast permeability fields. We develop and analyze a robust and efficient Gener…
The analysis of FETI-DP preconditioner for full DG discretization of elliptic problems
Maksymilian Dryja, Juan Galvis, Marcus Sarkis
In this paper a discretization based on discontinuous Galerkin (DG) method for an elliptic two-dimensional problem with discontinuous coefficients is considered. The problem is pos…