Well-Conditioned Iterative Schemes for Mixed Finite-Element Models of Porous-Media Flows

Myron B. Allen; Richard E. Ewing; Peng Lu

doi:10.1137/0913047

Well-Conditioned Iterative Schemes for Mixed Finite-Element Models of Porous-Media Flows

SIAM Journal on Scientific and Statistical Computing ◽

10.1137/0913047 ◽

1992 ◽

Vol 13 (3) ◽

pp. 794-814 ◽

Cited By ~ 28

Author(s):

Myron B. Allen ◽

Richard E. Ewing ◽

Peng Lu

Keyword(s):

Finite Element ◽

Porous Media ◽

Mixed Finite Element ◽

Finite Element Models ◽

Iterative Schemes ◽

Porous Media Flows ◽

Media Flows

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An optimal-order error estimate for a Galerkin-mixed finite-element time-stepping procedure for porous media flows

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20652 ◽

2011 ◽

Vol 28 (2) ◽

pp. 707-719 ◽

Cited By ~ 4

Author(s):

Feng-xin Chen ◽

Huan-zhen Chen ◽

Hong Wang

Keyword(s):

Finite Element ◽

Porous Media ◽

Error Estimate ◽

Mixed Finite Element ◽

Optimal Order ◽

Order Error ◽

Porous Media Flows ◽

Time Stepping ◽

Media Flows

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A Galerkin-projection linearized finite element model for nonlinear diffusion in unsaturated porous-media flows

10.31274/rtd-180814-2401 ◽

1978 ◽

Author(s):

John Howard Cushman

Keyword(s):

Finite Element ◽

Porous Media ◽

Finite Element Model ◽

Nonlinear Diffusion ◽

Element Model ◽

Galerkin Projection ◽

Unsaturated Porous Media ◽

Porous Media Flows ◽

Media Flows

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A Galerkin-projection linearized finite element model for nonlinear diffusion in unsaturated porous-media flows

10.31274/rtd-180813-2401 ◽

1978 ◽

Author(s):

John Howard Cushman

Keyword(s):

Finite Element ◽

Porous Media ◽

Finite Element Model ◽

Nonlinear Diffusion ◽

Element Model ◽

Galerkin Projection ◽

Unsaturated Porous Media ◽

Porous Media Flows ◽

Media Flows

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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 ◽

Cited By ~ 52

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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New Iterative Schemes for Mixed Finite-Element Models of Groundwater Unsteady Flows

Computational Methods in Water Resources X - Water Science and Technology Library ◽

10.1007/978-94-010-9204-3_18 ◽

1994 ◽

pp. 139-145

Author(s):

Wenliang Zhao ◽

Chunhong Xie

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Unsteady Flows ◽

Finite Element Models ◽

Iterative Schemes

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Enriched mixed finite element models for dynamic analysis of continuous and fractured porous media

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2018.08.011 ◽

2019 ◽

Vol 343 ◽

pp. 74-99 ◽

Cited By ~ 9

Author(s):

M. Komijani ◽

R. Gracie

Keyword(s):

Finite Element ◽

Porous Media ◽

Dynamic Analysis ◽

Mixed Finite Element ◽

Fractured Porous Media ◽

Finite Element Models

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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 ◽

Cited By ~ 73

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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A Stochastic Mortar Mixed Finite Element Method for Flow in Porous Media with Multiple Rock Types

SIAM Journal on Scientific Computing ◽

10.1137/100790689 ◽

2011 ◽

Vol 33 (3) ◽

pp. 1439-1474 ◽

Cited By ~ 11

Author(s):

Benjamin Ganis ◽

Ivan Yotov ◽

Ming Zhong

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Porous Media ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Flow In Porous Media ◽

Rock Types ◽

Element Method

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Richardson extrapolation and defect correction of mixed finite element methods for integro-differential equations in porous media

Applications of Mathematics ◽

10.1007/s10492-008-0011-3 ◽

2008 ◽

Vol 53 (1) ◽

pp. 13-39 ◽

Cited By ~ 2

Author(s):

Shanghui Jia ◽

Deli Li ◽

Tang Liu ◽

Shuhua Zhang

Keyword(s):

Finite Element ◽

Porous Media ◽

Differential Equations ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Richardson Extrapolation ◽

Mixed Finite Element Methods ◽

Defect Correction

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Mixed finite element methods for compressible miscible displacement in porous media

Mathematics of Computation ◽

10.1090/s0025-5718-1991-1094942-7 ◽

1991 ◽

Vol 57 (196) ◽

pp. 507-507 ◽

Cited By ~ 17

Author(s):

So-Hsiang Chou ◽

Qian Li

Keyword(s):

Finite Element ◽

Porous Media ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Miscible Displacement ◽

Mixed Finite Element Methods ◽

Compressible Miscible Displacement

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