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Title: Residual-driven online generalized multiscale finite element methods

Authors:
; ;
Publication Date:
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
OSTI Identifier:
1247037
Grant/Contract Number:  
NPRP 7-1482-1-278; FG02-13ER26165
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Name: Journal of Computational Physics Journal Volume: 302 Journal Issue: C; Journal ID: ISSN 0021-9991
Publisher:
Elsevier
Country of Publication:
United States
Language:
English

Citation Formats

Chung, Eric T., Efendiev, Yalchin, and Leung, Wing Tat. Residual-driven online generalized multiscale finite element methods. United States: N. p., 2015. Web. doi:10.1016/j.jcp.2015.07.068.
Chung, Eric T., Efendiev, Yalchin, & Leung, Wing Tat. Residual-driven online generalized multiscale finite element methods. United States. https://doi.org/10.1016/j.jcp.2015.07.068
Chung, Eric T., Efendiev, Yalchin, and Leung, Wing Tat. Tue . "Residual-driven online generalized multiscale finite element methods". United States. https://doi.org/10.1016/j.jcp.2015.07.068.
@article{osti_1247037,
title = {Residual-driven online generalized multiscale finite element methods},
author = {Chung, Eric T. and Efendiev, Yalchin and Leung, Wing Tat},
abstractNote = {},
doi = {10.1016/j.jcp.2015.07.068},
journal = {Journal of Computational Physics},
number = C,
volume = 302,
place = {United States},
year = {Tue Dec 01 00:00:00 EST 2015},
month = {Tue Dec 01 00:00:00 EST 2015}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.jcp.2015.07.068

Citation Metrics:
Cited by: 73 works
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Works referenced in this record:

Multiscale modeling of acoustic wave propagation in 2D media
journal, March 2014


Generalized multiscale finite element method. Symmetric interior penalty coupling
journal, December 2013


Multi-scale finite-volume method for elliptic problems in subsurface flow simulation
journal, May 2003


Metric-based upscaling
journal, January 2007

  • Owhadi, Houman; Zhang, Lei
  • Communications on Pure and Applied Mathematics, Vol. 60, Issue 5
  • DOI: 10.1002/cpa.20163

Adaptive fully implicit multi-scale finite-volume method for multi-phase flow and transport in heterogeneous porous media
journal, September 2006


A new multiscale finite element method for high-contrast elliptic interface problems
journal, May 2010


Analysis of a Two-Scale, Locally Conservative Subgrid Upscaling for Elliptic Problems
journal, January 2004


A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media
journal, June 1997

  • Hou, Thomas Y.; Wu, Xiao-Hui
  • Journal of Computational Physics, Vol. 134, Issue 1
  • DOI: 10.1006/jcph.1997.5682

The heterogeneous multiscale finite element method for elliptic homogenization problems in perforated domains
journal, July 2009


An adaptive GMsFEM for high-contrast flow problems
journal, September 2014


The Heterognous Multiscale Methods
journal, January 2003


Convergence of a Nonconforming Multiscale Finite Element Method
journal, January 2000

  • Efendiev, Yalchin R.; Hou, Thomas Y.; Wu, Xiao-Hui
  • SIAM Journal on Numerical Analysis, Vol. 37, Issue 3
  • DOI: 10.1137/S0036142997330329

A Sub-Grid Structure Enhanced Discontinuous Galerkin Method for Multiscale Diffusion and Convection-Diffusion Problems
journal, August 2013


Adaptive iterative multiscale finite volume method
journal, February 2011


A Convergent Adaptive Algorithm for Poisson’s Equation
journal, June 1996

  • Dörfler, Willy
  • SIAM Journal on Numerical Analysis, Vol. 33, Issue 3
  • DOI: 10.1137/0733054

Generalized multiscale finite element methods (GMsFEM)
journal, October 2013


Multiscale finite element methods for high-contrast problems using local spectral basis functions
journal, February 2011

  • Efendiev, Yalchin; Galvis, Juan; Wu, Xiao-Hui
  • Journal of Computational Physics, Vol. 230, Issue 4
  • DOI: 10.1016/j.jcp.2010.09.026

Two-Level Overlapping Schwarz Algorithms for a Staggered Discontinuous Galerkin Method
journal, January 2013

  • Chung, Eric T.; Kim, Hyea Hyun; Widlund, Olof B.
  • SIAM Journal on Numerical Analysis, Vol. 51, Issue 1
  • DOI: 10.1137/110849432

Domain Decomposition Preconditioners for Multiscale Flows in High Contrast Media: Reduced Dimension Coarse Spaces
journal, January 2010

  • Galvis, Juan; Efendiev, Yalchin
  • Multiscale Modeling & Simulation, Vol. 8, Issue 5
  • DOI: 10.1137/100790112

Generalized Multiscale Finite Element Methods: Oversampling Strategies
journal, January 2014


Accurate multiscale finite element methods for two-phase flow simulations
journal, December 2006


Reduced-Contrast Approximations for High-Contrast Multiscale Flow Problems
journal, January 2010

  • Chung, Eric T.; Efendiev, Yalchin
  • Multiscale Modeling & Simulation, Vol. 8, Issue 4
  • DOI: 10.1137/09075620X

An Energy-Conserving Discontinuous Multiscale Finite Element Method for the wave Equation in Heterogeneous Media
journal, April 2011

  • Chung, Eric T.; Efendiev, Yalchin; Gibson, Richard L.
  • Advances in Adaptive Data Analysis, Vol. 03, Issue 01n02
  • DOI: 10.1142/S1793536911000842

A Multiscale Finite Element Method for Numerical Homogenization
journal, January 2005

  • Allaire, Grégoire; Brizzi, Robert
  • Multiscale Modeling & Simulation, Vol. 4, Issue 3
  • DOI: 10.1137/040611239

Numerical calculation of equivalent grid block permeability tensors for heterogeneous porous media
journal, May 1991

  • Durlofsky, Louis J.
  • Water Resources Research, Vol. 27, Issue 5
  • DOI: 10.1029/91WR00107

Mode decomposition methods for flows in high-contrast porous media. Global–local approach
journal, November 2013


Multiscale Finite Element Methods for Nonlinear Problems and Their Applications
journal, January 2004

  • Efendiev, Y.; Ginting, V.; Hou, T. Y.
  • Communications in Mathematical Sciences, Vol. 2, Issue 4
  • DOI: 10.4310/CMS.2004.v2.n4.a2

A BDDC algorithm for a class of staggered discontinuous Galerkin methods
journal, April 2014

  • Kim, Hyea Hyun; Chung, Eric T.; Lee, Chak Shing
  • Computers & Mathematics with Applications, Vol. 67, Issue 7
  • DOI: 10.1016/j.camwa.2014.02.001