activity
20122014
most citedGlobal-Local Nonlinear Model Reduction for Flows in Heterogeneous Porous Media

48 citations · 80 across the 5 of their papers we have counts for

collaborators

5 papers

math.NA2014★ 48 cited

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…

math.NA2014★ 7 cited

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…

physics.comp-ph2013★ 1 cited

Mode Decomposition Methods for Flows in High-Contrast Porous Media. Part II. Local-Global Approach

Mehdi Ghommem, Michael Presho, Victor M. Calo +1

In this paper, we combine concepts of the generalized multiscale finite element method and mode decomposition methods to construct a robust local-global approach for model reductio…

physics.comp-ph2013★ 24 cited

Mode Decomposition Methods for Flows in High-Contrast Porous Media. Part I. Global Approach

Mehdi Ghommem, Victor M. Calo, Yalchin Efendiev

We apply dynamic mode decomposition (DMD) and proper orthogonal decomposition (POD) methods to flows in highly-heterogeneous porous media to extract the dominant coherent structure…

math-ph2012

On the Shape Optimization of Flapping Wings and their Performance Analysis

Mehdi Ghommem, Nathan Collier, Antti H. Niemi +1

The present work is concerned with the shape optimization of flapping wings in forward flight. The analysis is performed by combining a gradient-based optimizer with the unsteady v…