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Multiscale Model Reduction with Generalized Multiscale Finite Element Methods in Geomathematics
2014In this chapter, we discuss multiscale model reduction using Generalized Multiscale Finite Element Methods (GMsFEM) in a number of geomathematical applications. GMsFEM has been recently introduced (Efendiev et al. 2012) and applied to various problems.
Efendiev, Yalchin R., Presho, Michael
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Multiscale model reduction for the Allen–Cahn problem in perforated domains
Journal of Computational and Applied Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aleksei Tyrylgin +3 more
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Fast Multiscale Reservoir Simulations using POD-DEIM Model Reduction
SPE Reservoir Simulation Symposium, 2015Eduardo Gildin and Yalchin Efendiev acknowledge the partial support of the US Department of Defence Army ARO Project under grant number W911NF-12-1-0206. This publication also was made possible by National Priorities Research Program grant 7-1482-1278 from the Qatar National Research Fund (a member of The Qatar Foundation).
Mohammadreza Ghasemi +4 more
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A multiscale approach for model reduction of random microstructures
Computational Materials Science, 2012Abstract The mechanical properties of a deformed workpiece are sensitive to the initial microstructure. Often, the initial microstructure is random in nature and location specific. To model the variability of properties of the workpiece induced by variability in the initial microstructure, one needs to develop a reduced order stochastic input model ...
Bin Wen, Nicholas Zabaras
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Model Reduction of Multiscale Chemical Langevin Equations: A Numerical Case Study
IEEE/ACM Transactions on Computational Biology and Bioinformatics, 2009Two very important characteristics of biological reaction networks need to be considered carefully when modeling these systems. First, models must account for the inherent probabilistic nature of systems far from the thermodynamic limit. Often, biological systems cannot be modeled with traditional continuous-deterministic models.
Vassilios, Sotiropoulos +3 more
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Multiscale Modeling of Active Flow Control for Fuselage Drag Reduction
50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, 2012Multi-scale modeling of synthetic jet devices is em ployed to investigate the effect of active flow control (AFC) on fuselage drag reduction. The flow field in the vicinity of the synthetic jet devices was modeled using a Lattice Boltzmann equation (LBE) approach, while the external flow over the fuselage was modeled using a Reynolds-averaged Navier ...
Jeewoong Kim +4 more
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REITERATED MULTISCALE MODEL REDUCTION USING THE GENERALIZED MULTISCALE FINITE ELEMENT METHOD
International Journal for Multiscale Computational Engineering, 2016Eric T. Chung +3 more
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Multiscale Model Reduction Methods for Flow in Heterogeneous Porous Media
2016In this paper we provide a general framework for model reduction methods applied to fluid flow in porous media. Using reduced basis and numerical homogenization techniques we show that the complexity of the numerical approximation of Stokes flow in heterogeneous media can be drastically reduced.
Assyr Abdulle, Ondrej Budáč
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Computational multiscale modeling of fracture problems and its model order reduction
2017Fil: Caicedo, M.A..
Caicedo, M.A. +2 more
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