Results 201 to 210 of about 1,498,610 (256)

Constraint energy minimizing generalized multiscale finite element method in the mixed formulation [PDF]

open access: yesComputational Geosciences, 2017
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
semanticscholar   +5 more sources

Constraint Energy Minimizing Generalized Multiscale Finite Element Method for Convection Diffusion Equations with Inhomogeneous Boundary Conditions

arXiv.org
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
semanticscholar   +1 more source

A Generalized Finite Element Method for Multiscale Simulations [PDF]

open access: possible, 2012
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.
openaire   +1 more source

Least-squares mixed generalized multiscale finite element method

Computer Methods in Applied Mechanics and Engineering, 2016
Abstract 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
openaire   +2 more sources

A Generalized Multiscale Finite Element Method for Thermoelasticity Problems

2017
In 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
openaire   +2 more sources

Multiscale Model Reduction with Generalized Multiscale Finite Element Methods in Geomathematics

2014
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. 2012) and applied to various problems.
Efendiev, Yalchin R., Presho, Michael
openaire   +2 more sources

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