Results 21 to 30 of about 58,777 (284)

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. As in multiscale finite element methods (MsFEMs), the main idea of the proposed approach is to construct a small dimensional local solution ...
Efendiev, Yalchin, Galvis, Juan, Hou, Thomas Y.   +2 more
openaire   +4 more sources

Generalized Multiscale Finite Element Method and Balanced Truncation for Parameter-Dependent Parabolic Problems

Mathematics, 2023
We propose a generalized multiscale finite element method combined with a balanced truncation to solve a parameter-dependent parabolic problem. As an updated version of the standard multiscale method, the generalized multiscale method contains the ...
Shan Jiang, Yue Cheng, Yao Cheng, Yunqing Huang   +3 more
doaj   +1 more source

Modified Method of Characteristics Variational Multiscale Finite Element Method for Time Dependent Navier-Stokes Problems

Mathematical Modelling and Analysis, 2015
In this paper, a modified method of characteristics variational multiscale (MMOCVMS) finite element method is presented for the time dependent NavierStokes problems, which is leaded by combining the characteristics time discretization with the ...
Zhiyong Si, Yunxia Wang, Xinlong Feng
doaj   +1 more source

A hysteretic multiscale formulation for nonlinear dynamic analysis of composite materials [PDF]

, 2014
This article has been made available through the Brunel Open Access Publishing Fund.A new multiscale finite element formulation is presented for nonlinear dynamic analysis of heterogeneous structures.
A Chopra, AK Kaw, C Fuggini, C Hu, CT Herakovich, D Bournas, DR Cook, E. N. Chatzi, F Casadei, G Powell, GA Pavliotis, H Zhang, HM Hilber, HS Park, HW Zhang, HW Zhang, I Babuška, I Babuška, J Lubliner, J Lv, J Simo, J Simo, J Xu, JE Andrade, K Markov, K Washizu, K Worden, KJ Bathe, M Nithyadharan, M Tootkaboni, MM Aghdam, OC Zienkiewicz, OS Bursi, P Kanouté, P Sengupta, Q Yu, R Azizi, R Senthivel, RH Cherng, S Erlicher, S Erlicher, S Nemat-Naser, S. P. Triantafyllou, T Belytschko, T Zohdi, T Zohdi, TI Zohdi, TT Baber, TY Hou, VD Nguyen, WJ Harvey, X He, XF Xu, Y Efendiev, Y Efendiev, YR Kim   +55 more
core   +3 more sources

Randomized Oversampling for Generalized Multiscale Finite Element Methods [PDF]

Multiscale Modeling & Simulation, 2016
In this paper, we study the development of efficient multiscale methods for flows in heterogeneous media. Our approach uses the Generalized Multiscale Finite Element (GMsFEM) framework. The main idea of GMsFEM is to approximate the solution space locally using a few multiscale basis functions.
Calo, Victor M., Efendiev, Yalchin R., Galvis, Juan, Li, Guanglian   +3 more
openaire   +4 more sources

Stabilized Multiscale Nonconforming Finite Element Method for the Stationary Navier-Stokes Equations

Abstract and Applied Analysis, 2012
We consider a stabilized multiscale nonconforming finite element method for the two-dimensional stationary incompressible Navier-Stokes problem. This method is based on the enrichment of the standard polynomial space for the velocity component with ...
Tong Zhang, Shunwei Xu, Jien Deng
doaj   +1 more source

Multiscale Simulations for Coupled Flow and Transport Using the Generalized Multiscale Finite Element Method

Computation, 2015
In this paper, we develop a mass conservative multiscale method for coupled flow and transport in heterogeneous porous media. We consider a coupled system consisting of a convection-dominated transport equation and a flow equation.
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Jun Ren   +3 more
doaj   +1 more source

Generalized multiscale finite element methods for wave propagation in heterogeneous media [PDF]

, 2013
Numerical modeling of wave propagation in heterogeneous media is important in many applications. Due to the complex nature, direct numerical simulations on the fine grid are prohibitively expensive.
Chung, Eric T., Efendiev, Yalchin, Leung, Wing Tat   +2 more
core   +3 more sources

Residual-driven online generalized multiscale finite element methods [PDF]

Journal of Computational Physics, 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
openaire   +4 more sources

Multiscale Model Reduction of the Unsaturated Flow Problem in Heterogeneous Porous Media with Rough Surface Topography

Mathematics, 2020
In this paper, we consider unsaturated filtration in heterogeneous porous media with rough surface topography. The surface topography plays an important role in determining the flow process and includes multiscale features.
Denis Spiridonov, Maria Vasilyeva, Eric T. Chung, Yalchin Efendiev, Raghavendra Jana   +4 more
doaj   +1 more source