Results 21 to 30 of about 1,498,610 (256)

Constraint energy minimizing generalized multiscale finite element method for convection diffusion equation [PDF]

Multiscale Modeling & simulation, 2022
In this paper we present and analyze a constraint energy minimizing generalized multiscale finite element method for convection diffusion equation. To define the multiscale basis functions, we first build an auxiliary multiscale space by solving local ...
Lina Zhao, Eric T. Chung
openalex   +3 more sources

Generalized multiscale finite element methods (GMsFEM) [PDF]

Journal of Computational Physics, 2013
In this paper, we propose a general approach called Generalized Multiscale Finite Element Method (GMsFEM) for performing multiscale simulations for problems without scale separation over a complex input space.
Efendiev, Yalchin, Galvis, Juan, Hou, Thomas Y.   +2 more
core   +7 more sources

Constraint energy minimizing generalized multiscale finite element method for dual continuum model [PDF]

Communications in Mathematical Sciences, 2020
The dual continuum model serves as a powerful tool in the modeling of subsurface applications. It allows a systematic coupling of various components of the solutions.
Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Maria Vasilyeva   +4 more
openalex   +3 more sources

Sparse Generalized Multiscale Finite Element Methods and their applications [PDF]

International Journal for Multiscale Computational Engineering, 2015
In a number of previous papers, local (coarse grid) multiscale model reduction techniques are developed using a Generalized Multiscale Finite Element Method.
Chung, Eric, Efendiev, Yalchin, Leung, Wing Tat, Li, Guanglian   +3 more
core   +3 more sources

An iterative constraint energy minimizing generalized multiscale finite element method for contact problem [PDF]

Journal of Computational and Applied Mathematics
This work presents an Iterative Constraint Energy Minimizing Generalized Multiscale Finite Element Method (ICEM-GMsFEM) for solving the contact problem with high contrast coefficients.
Zishang Li, Changqing Ye, Eric T. Chung
openalex   +2 more sources

Generalized multiscale finite element method for a nonlinear elastic strain-limiting Cosserat model [PDF]

Journal of Computational Physics
For nonlinear Cosserat elasticity, we consider multiscale methods in this paper. In particular, we explore the generalized multiscale finite element method (GMsFEM) to solve an isotropic Cosserat problem with strain-limiting property (ensuring bounded ...
Dmitry Ammosov, Tina Mai, Juan Galvis
openalex   +2 more sources

Generalized multiscale approximation of a multipoint flux mixed finite element method for Darcy-Forchheimer model [PDF]

arXiv, 2020
In this paper, we propose a multiscale method for the Darcy-Forchheimer model in highly heterogeneous porous media. The problem is solved in the framework of generalized multiscale finite element methods (GMsFEM) combined with a multipoint flux mixed finite element (MFMFE) method.
Zhengkang He, Eric T. Chung, Jie Chen, Zhangxin Chen   +3 more
arxiv   +3 more sources

A Generalized Multiscale Finite Element Method for poroelasticity problems II: nonlinear coupling [PDF]

Journal of Computational and Applied Mathematics, 2015
In this paper, we consider the numerical solution of some nonlinear poroelasticity problems that are of Biot type and develop a general algorithm for solving nonlinear coupled systems.
Abdulle, Bagheri, Biot, Brown, Brown, Brown, Chung, Donald L. Brown, E, Efendiev, Hughes, Kannan, Kim, Kolesov, Maria Vasilyeva, Minkoff, Målqvist, Sayers, Zoback   +18 more
core   +7 more sources

Embedded fracture model in numerical simulation of the fluid flow and geo-mechanics using Generalized Multiscale Finite Element Method

Journal of Physics: Conference Series, 2019
In this work, we consider a pororelasticity problem in fractured porous media. Mathematical model contains a coupled system of equations for pressure and displacements, for which we use an embedded fracture model.
Aleksei Tyrylgin, Maria Vasilyeva, Eric T. Chung   +2 more
openalex   +2 more sources

Residual-driven online Generalized Multiscale Finite Element Methods [PDF]

arXiv, 2015
The construction of local reduced-order models via multiscale basis functions has been an area of active research. In this paper, we propose online multiscale basis functions which are constructed using the offline space and the current residual. Online multiscale basis functions are constructed adaptively in some selected regions based on our error ...
Chung, Eric T., Efendiev, Yalchin R., Leung, Wing Tat   +2 more
arxiv   +6 more sources