78 citations · 721 across the 73 of their papers we have counts for
6 papers · 2 filters
Explicit Gaussian quadrature rules for cubic splines with non-uniform knot sequences
Rachid Ait-Haddou, Michael Bartoň, Victor Manuel Calo
We provide explicit expressions for quadrature rules on the space of cubic splines with non-uniform, symmetrically stretched knot sequences. The quadrature nodes and weights…
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…