A generalized multiscale finite element method for high-contrast single-phase flow problems in anisotropic media

Ren, Jun; Presho, Michael

doi:10.1016/j.cam.2014.09.006

A generalized multiscale finite element method for high-contrast single-phase flow problems in anisotropic media

Journal Article · Sun Mar 01 00:00:00 EST 2015 · Journal of Computational and Applied Mathematics

DOI:https://doi.org/10.1016/j.cam.2014.09.006· OSTI ID:1769988

Ren, Jun; Presho, Michael

Not Available

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0009286; SC0010713

OSTI ID:: 1769988

Alternate ID(s):: OSTI ID: 1249810

Journal Information:: Journal of Computational and Applied Mathematics, Journal Name: Journal of Computational and Applied Mathematics Journal Issue: C Vol. 277; ISSN 0377-0427

Publisher:: ElsevierCopyright Statement

Country of Publication:: Belgium

Language:: English

References (12)

A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media Hou, Thomas Y.; Wu, Xiao-Hui Journal of Computational Physics, Vol. 134, Issue 1 https://doi.org/10.1006/jcph.1997.5682	journal	June 1997
Multi-scale finite-volume method for elliptic problems in subsurface flow simulation Jenny, P.; Lee, S. H.; Tchelepi, H. A. Journal of Computational Physics, Vol. 187, Issue 1 https://doi.org/10.1016/S0021-9991(03)00075-5	journal	May 2003
The variational multiscale method—a paradigm for computational mechanics Hughes, Thomas J. R.; Feijóo, Gonzalo R.; Mazzei, Luca Computer Methods in Applied Mechanics and Engineering, Vol. 166, Issue 1-2 https://doi.org/10.1016/S0045-7825(98)00079-6	journal	November 1998
Multiscale finite element methods for high-contrast problems using local spectral basis functions Efendiev, Yalchin; Galvis, Juan; Wu, Xiao-Hui Journal of Computational Physics, Vol. 230, Issue 4 https://doi.org/10.1016/j.jcp.2010.09.026	journal	February 2011
Generalized multiscale finite element methods (GMsFEM) Efendiev, Yalchin; Galvis, Juan; Hou, Thomas Y. Journal of Computational Physics, Vol. 251 https://doi.org/10.1016/j.jcp.2013.04.045	journal	October 2013
On the Use of a Mixed Multiscale Finite Element Method for GreaterFlexibility and Increased Speed or Improved Accuracy in Reservoir Simulation Aarnes, Jorg E. Multiscale Modeling & Simulation, Vol. 2, Issue 3 https://doi.org/10.1137/030600655	journal	January 2004
A Multiscale Mortar Mixed Finite Element Method Arbogast, Todd; Pencheva, Gergina; Wheeler, Mary F. Multiscale Modeling & Simulation, Vol. 6, Issue 1 https://doi.org/10.1137/060662587	journal	January 2007
Domain Decomposition Preconditioners for Multiscale Flows in High Contrast Media: Reduced Dimension Coarse Spaces Galvis, Juan; Efendiev, Yalchin Multiscale Modeling & Simulation, Vol. 8, Issue 5 https://doi.org/10.1137/100790112	journal	January 2010
Generalized Multiscale Finite Element Methods: Oversampling Strategies Efendiev, Yalchin; Galvis, Juan; Li, Guanglian International Journal for Multiscale Computational Engineering, Vol. 12, Issue 6 https://doi.org/10.1615/IntJMultCompEng.2014007646	journal	January 2014
Robust Two-level Domain Decomposition Preconditioners for High-contrast Anisotropic Flows in Multiscale Media Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho Computational Methods in Applied Mathematics, Vol. 12, Issue 4 https://doi.org/10.2478/cmam-2012-0031	journal	January 2012
Generalized Multiscale Finite Element Methods. Nonlinear Elliptic Equations Efendiev, Yalchin; Galvis, Juan; Li, Guanglian Communications in Computational Physics, Vol. 15, Issue 3 https://doi.org/10.4208/cicp.020313.041013a	journal	March 2014
Multiscale Finite Element Methods for Nonlinear Problems and Their Applications Efendiev, Y.; Ginting, V.; Hou, T. Y. Communications in Mathematical Sciences, Vol. 2, Issue 4 https://doi.org/10.4310/CMS.2004.v2.n4.a2	journal	January 2004

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