Multiscale finite element methods for stochastic porous media flow equations and application to uncertainty quantification

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2008.02.030 ◽

2008 ◽

Vol 197 (43-44) ◽

pp. 3445-3455 ◽

Author(s):

P. Dostert ◽

Y. Efendiev ◽

T.Y. Hou

Keyword(s):

Finite Element ◽

Porous Media ◽

Uncertainty Quantification ◽

Finite Element Methods ◽

Porous Media Flow ◽

Flow Equations ◽

Multiscale Finite Element ◽

Multiscale Finite Element Methods

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Mixed Multiscale Finite Element Methods for Stochastic Porous Media Flows

SIAM Journal on Scientific Computing ◽

10.1137/07070108x ◽

2008 ◽

Vol 30 (5) ◽

pp. 2319-2339 ◽

Author(s):

J. E. Aarnes ◽

Y. Efendiev

Keyword(s):

Finite Element ◽

Porous Media ◽

Finite Element Methods ◽

Porous Media Flows ◽

Multiscale Finite Element ◽

Media Flows ◽

Multiscale Finite Element Methods

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Expanded Mixed Multiscale Finite Element Methods and Their Applications for Flows in Porous Media

Multiscale Modeling and Simulation ◽

10.1137/11083143x ◽

2012 ◽

Vol 10 (2) ◽

pp. 418-450 ◽

Author(s):

L. Jiang ◽

D. Copeland ◽

J. D. Moulton

Keyword(s):

Finite Element ◽

Porous Media ◽

Finite Element Methods ◽

Flows In Porous Media ◽

Multiscale Finite Element ◽

Multiscale Finite Element Methods

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Stochastic mixed multiscale finite element methods and their applications in random porous media

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2010.05.018 ◽

2010 ◽

Vol 199 (41-44) ◽

pp. 2721-2740 ◽

Author(s):

L. Jiang ◽

I. Mishev ◽

Y. Li

Keyword(s):

Finite Element ◽

Porous Media ◽

Finite Element Methods ◽

Multiscale Finite Element ◽

Random Porous Media ◽

Multiscale Finite Element Methods

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A Hybrid HDMR for Mixed Multiscale Finite Element Methods with Application to Flows in Random Porous Media

Multiscale Modeling and Simulation ◽

10.1137/120900460 ◽

2014 ◽

Vol 12 (1) ◽

pp. 119-151 ◽

Author(s):

Lijian Jiang ◽

J. David Moulton ◽

Jia Wei

Keyword(s):

Finite Element ◽

Porous Media ◽

Finite Element Methods ◽

Multiscale Finite Element ◽

Random Porous Media ◽

Multiscale Finite Element Methods

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Multiscale finite element methods for porous media flows and their applications

Applied Numerical Mathematics ◽

10.1016/j.apnum.2006.07.009 ◽

2007 ◽

Vol 57 (5-7) ◽

pp. 577-596 ◽

Author(s):

Y. Efendiev ◽

T. Hou

Keyword(s):

Finite Element ◽

Porous Media ◽

Finite Element Methods ◽

Porous Media Flows ◽

Multiscale Finite Element ◽

Media Flows ◽

Multiscale Finite Element Methods

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Mixed Multiscale Finite Element Methods Using Limited Global Information

Multiscale Modeling and Simulation ◽

10.1137/070688481 ◽

2008 ◽

Vol 7 (2) ◽

pp. 655-676 ◽

Author(s):

J. E. Aarnes ◽

Y. Efendiev ◽

L. Jiang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Global Information ◽

Multiscale Finite Element ◽

Multiscale Finite Element Methods

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Multiscale Model Reduction with Generalized Multiscale Finite Element Methods in Geomathematics

Handbook of Geomathematics ◽

10.1007/978-3-642-27793-1_68-2 ◽

2014 ◽

pp. 1-20

Author(s):

Yalchin Efendiev ◽

Michael Presho

Keyword(s):

Finite Element ◽

Model Reduction ◽

Finite Element Methods ◽

Multiscale Model ◽

Multiscale Finite Element ◽

Multiscale Finite Element Methods

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Multiscale finite element methods for linear problems and overview

Multiscale Finite Element Methods ◽

10.1007/978-0-387-09496-0_2 ◽

2008 ◽

pp. 1-34

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Multiscale Finite Element ◽

Linear Problems ◽

Multiscale Finite Element Methods

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Flow based oversampling technique for multiscale finite element methods

Advances in Water Resources ◽

10.1016/j.advwatres.2007.11.005 ◽

2008 ◽

Vol 31 (4) ◽

pp. 599-608 ◽

Author(s):

J. Chu ◽

Y. Efendiev ◽

V. Ginting ◽

T.Y. Hou

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Multiscale Finite Element ◽

Multiscale Finite Element Methods

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Nonconforming generalized multiscale finite element methods

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.07.028 ◽

2017 ◽

Vol 311 ◽

pp. 215-229 ◽

Author(s):

Chak Shing Lee ◽

Dongwoo Sheen

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Multiscale Finite Element ◽

Multiscale Finite Element Methods

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