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Title: Residual-driven online generalized multiscale finite element methods

Journal Article · · Journal of Computational Physics

Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
Grant/Contract Number:
NPRP 7-1482-1-278; FG02-13ER26165
OSTI ID:
1247037
Journal Information:
Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 302 Journal Issue: C; ISSN 0021-9991
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 73 works
Citation information provided by
Web of Science

References (28)

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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
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
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Convergence of a Nonconforming Multiscale Finite Element Method journal January 2000
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
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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
Two-Level Overlapping Schwarz Algorithms for a Staggered Discontinuous Galerkin Method journal January 2013
Domain Decomposition Preconditioners for Multiscale Flows in High Contrast Media: Reduced Dimension Coarse Spaces journal January 2010
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
An Energy-Conserving Discontinuous Multiscale Finite Element Method for the wave Equation in Heterogeneous Media journal April 2011
A Multiscale Finite Element Method for Numerical Homogenization journal January 2005
Numerical calculation of equivalent grid block permeability tensors for heterogeneous porous media journal May 1991
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
A BDDC algorithm for a class of staggered discontinuous Galerkin methods journal April 2014

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