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A mass conservative Generalized Multiscale Finite Element Method applied to two-phase flow in heterogeneous porous media

Journal Article · · Journal of Computational and Applied Mathematics
;
Not Available
Sponsoring Organization:
USDOE; USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
Grant/Contract Number:
SC0009286
OSTI ID:
1607935
Alternate ID(s):
OSTI ID: 1400320
Journal Information:
Journal of Computational and Applied Mathematics, Journal Name: Journal of Computational and Applied Mathematics Journal Issue: C Vol. 296; ISSN 0377-0427
Publisher:
ElsevierCopyright Statement
Country of Publication:
Belgium
Language:
English

References (22)

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Higher-order finite volume methods for elliptic boundary value problems journal September 2011
Application of the two-stage Markov chain Monte Carlo method for characterization of fractured reservoirs using a surrogate flow model journal May 2011
Application of a conservative, generalized multiscale finite element method to flow models journal April 2014
Multiscale finite element methods for high-contrast problems using local spectral basis functions journal February 2011
Local–global multiscale model reduction for flows in high-contrast heterogeneous media journal October 2012
Generalized multiscale finite element methods (GMsFEM) journal October 2013
A Multilevel Multiscale Finite-Volume Method journal December 2013
Iterative Galerkin-enriched multiscale finite-volume method journal November 2014
Numerical solution of saddle point problems journal April 2005
Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms journal February 2012
Finite Volume Methods for Elliptic PDE's: A New Approach journal March 2002
A construction of higher-order finite volume methods journal July 2014
Adaptive Multiscale Finite-Volume Method for Multiphase Flow and Transport in Porous Media journal January 2005
A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations journal January 2010
An Operator Formulation of the Multiscale Finite-Volume Method with Correction Function journal January 2009
Domain Decomposition Preconditioners for Multiscale Flows in High-Contrast Media journal January 2010
Domain Decomposition Preconditioners for Multiscale Flows in High Contrast Media: Reduced Dimension Coarse Spaces journal January 2010
Localized Bases for Finite-Dimensional Homogenization Approximations with Nonseparated Scales and High Contrast journal October 2011
A Systematic Coarse-Scale Model Reduction Technique for Parameter-Dependent Flows in Highly Heterogeneous Media and Its Applications journal January 2012
On the Construction and Analysis of High Order Locally Conservative Finite Volume-Type Methods for One-Dimensional Elliptic Problems journal January 2004
Generalized Multiscale Finite Element Methods: Oversampling Strategies journal January 2014

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