Results 31 to 40 of about 258 (83)
A Hybrid Model Reduction Method for Dual-Continuum Model with Random Inputs
In this paper, a hybrid model reduction method for solving flows in fractured media is proposed. The approach integrates the Generalized Multiscale Finite Element Method (GMsFEM) with a novel variable-separation (VS) technique.
Lingling Ma
doaj +1 more source
An Online Generalized Multiscale finite element method for heat and mass transfer problem with artificial ground freezing [PDF]
In this paper, we present an Online Generalized Multiscale Finite Element Method(Online GMsFEM) for heat and mass transfer problem in heterogeneous media with artificial ground freezing pipes.
Vasiliy, Vasil`ev +2 more
core
Numerical simulation of seismic wave propagation is widely employed to characterize petroleum reservoirs and complex geological structures. Conventional numerical wave equation simulation methods can become prohibitively expensive for large geological ...
Zhang, Xinyi
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Constraint energy minimizing generalized multiscale finite element method for nonlinear poroelasticity and elasticity [PDF]
In this paper, we apply the constraint energy minimizing generalized multiscale finite element method (CEM-GMsFEM) to first solving a nonlinear poroelasticity problem.
Fu, Shubin, Mai, Tina, Chung, Eric
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In this work, we combine the generalized multiscale finite element method (GMsFEM) with a reduced model based on the discrete fracture model (DFM) to resolve the difficulties of simulating flow in fractured porous media while efficiently and accurately ...
Alotaibi, Manal +2 more
core +1 more source
A multiscale method for inhomogeneous elastic problems with high contrast coefficients
In this paper, we develop the constrained energy minimizing generalized multiscale finite element method (CEM-GMsFEM) with mixed boundary conditions (Dirichlet and Neumann) for the elasticity equations in high contrast media.
Ye, Changqing +2 more
core
Re-iterated multiscale model reduction using the GMsFEM
Numerical homogenization and multiscale finite element methods construct effective properties on a coarse grid by solving local problems and extracting the average effective properties from these local solutions. In some cases, the solutions of local problems can be expensive to compute due to scale disparity. In this setting, one can basically apply a
Chung, Eric T. +3 more
openaire +2 more sources
A generalized multiscale finite element method for the Brinkman equation
© 2014 Elsevier B.V. All rights reserved. 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 Generalized Multiscale Finite Element
Guanglian Li +5 more
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Multiscale Model Reduction with Generalized Multiscale Finite Element Methods in Geomathematics
In 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.
Presho, Michael, Efendiev, Yalchin R.
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Some Applications of the Generalized Multiscale Finite Element Method [PDF]
Many materials in nature are highly heterogeneous and their properties can vary at different scales. Direct numerical simulations in such multiscale media are prohibitively expensive and some types of model reduction are needed.
Fu, Shubin
core +2 more sources

