Application of a conservative, generalized multiscale finite element method to flow models

Bush, Lawrence; Ginting, Victor; Presho, Michael

doi:10.1016/j.cam.2013.10.006

Application of a conservative, generalized multiscale finite element method to flow models

Journal Article · Tue Apr 01 00:00:00 EDT 2014 · Journal of Computational and Applied Mathematics

DOI:https://doi.org/10.1016/j.cam.2013.10.006· OSTI ID:2279306

Bush, Lawrence; Ginting, Victor; Presho, Michael

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Sponsoring Organization:: USDOE

Grant/Contract Number:: FE0004832; SC0004982

OSTI ID:: 2279306

Journal Information:: Journal of Computational and Applied Mathematics, Journal Name: Journal of Computational and Applied Mathematics Journal Issue: C Vol. 260; ISSN 0377-0427

Publisher:: ElsevierCopyright Statement

Country of Publication:: Belgium

Language:: English

References (19)

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An adaptive local–global multiscale finite volume element method for two-phase flow simulations Durlofsky, L. J.; Efendiev, Y.; Ginting, V. Advances in Water Resources, Vol. 30, Issue 3 https://doi.org/10.1016/j.advwatres.2006.04.002	journal	March 2007
Flow based oversampling technique for multiscale finite element methods Chu, J.; Efendiev, Y.; Ginting, V. Advances in Water Resources, Vol. 31, Issue 4 https://doi.org/10.1016/j.advwatres.2007.11.005	journal	April 2008
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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 method. Symmetric interior penalty coupling Efendiev, Y.; Galvis, J.; Lazarov, R. Journal of Computational Physics, Vol. 255 https://doi.org/10.1016/j.jcp.2013.07.028	journal	December 2013
Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients Hou, Thomas Y.; Wu, Xiao-Hui; Cai, Zhiqiang Mathematics of Computation, Vol. 68, Issue 227 https://doi.org/10.1090/S0025-5718-99-01077-7	journal	March 1999
A Hierarchical Multiscale Method for Two-Phase Flow Based upon Mixed Finite Elements and Nonuniform Coarse Grids Aarnes, Jorg E.; Krogstad, Stein; Lie, Knut-Andreas Multiscale Modeling & Simulation, Vol. 5, Issue 2 https://doi.org/10.1137/050634566	journal	January 2006
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
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