A general-purpose tool for modeling multifunctional thin porous media (POREnet): From pore network to effective property tensors. [PDF]
GarcĂa-Salaberri PA, Zenyuk IV.
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Research on information leakage in time series prediction based on empirical mode decomposition. [PDF]
Yang X, Li J, Jiang X.
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Modeling autoregulation of cardiac excitation-Ca-contraction and arrhythmogenic activities in response to mechanical load changes. [PDF]
Hatano A, Izu LT, Chen-Izu Y, Sato D.
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Constraint energy minimizing generalized multiscale finite element method in the mixed formulation [PDF]
This paper presents a novel mass-conservative mixed multiscale method for solving flow equations in heterogeneous porous media. The media properties (the permeability) contain multiple scales and high contrast.
Eric T. Chung, Y. Efendiev, W. Leung
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In this paper, we develop the constraint energy minimizing generalized multiscale finite element method (CEM-GMsFEM) for convection-diffusion equations with inhomogeneous Dirichlet, Neumann and Robin boundary conditions, along with high-contrast ...
Po Chai Wong+3 more
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A Generalized Finite Element Method for Multiscale Simulations [PDF]
Abstract : This report focuses on recent advances of the Generalized Finite Element Method (GFEM) for multiscale simulations. This method is based on the solution of interdependent global and local scale problems, and can be applied to a broad class of multiscale problems of relevance to the United States Air Force.
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Least-squares mixed generalized multiscale finite element method
Computer Methods in Applied Mechanics and Engineering, 2016Abstract In this paper, we present an approximation of elliptic problems with multiscale and high-contrast diffusion coefficients. A mixed formulation is considered such that both pressure and velocity are approximated simultaneously. This formulation arises naturally in many applications such as flows in porous media. Due to the multiscale nature of
Eric T. Chung, Lijian Jiang, Fuchen Chen
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A Generalized Multiscale Finite Element Method for Thermoelasticity Problems
2017In this work, we consider the coupled systems of a partial differential equations, which arise in the modeling of thermoelasticity processes in heterogeneous domains. Heterogeneity of the properties requires a high resolution solve that adds many degrees of freedom that can be computationally costly.
Denis Stalnov+2 more
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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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