Convergence Analysis of Crank–Nicolson Galerkin–Galerkin FEMs for Miscible Displacement in Porous Media

Wentao Cai; Jilu Wang; Kai Wang

doi:10.1007/s10915-020-01194-0

Convergence Analysis of Crank–Nicolson Galerkin–Galerkin FEMs for Miscible Displacement in Porous Media

Journal of Scientific Computing ◽

10.1007/s10915-020-01194-0 ◽

2020 ◽

Vol 83 (2) ◽

Author(s):

Wentao Cai ◽

Jilu Wang ◽

Kai Wang

Keyword(s):

Porous Media ◽

Convergence Analysis ◽

Miscible Displacement ◽

Crank Nicolson

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Convergence analysis of a family of ELLAM schemes for a fully coupled model of miscible displacement in porous media

Numerische Mathematik ◽

10.1007/s00211-018-1002-2 ◽

2018 ◽

Vol 141 (2) ◽

pp. 353-397 ◽

Cited By ~ 1

Author(s):

Hanz Martin Cheng ◽

Jérôme Droniou ◽

Kim-Ngan Le

Keyword(s):

Porous Media ◽

Convergence Analysis ◽

Coupled Model ◽

Miscible Displacement ◽

Fully Coupled

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Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(84)90048-3 ◽

1984 ◽

Vol 47 (1-2) ◽

pp. 73-92 ◽

Cited By ~ 210

Author(s):

Richard E. Ewing ◽

Thomas F. Russell ◽

Mary Fanett Wheeler

Keyword(s):

Porous Media ◽

Finite Elements ◽

Convergence Analysis ◽

Method Of Characteristics ◽

Mixed Finite Elements ◽

Miscible Displacement ◽

Modified Method ◽

Modified Method Of Characteristics

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Convergence Analysis of Miscible Displacement in Porous Media by Mixed Finite Element and Orthogonal Collocation Methods

2010 International Conference on Computational and Information Sciences ◽

10.1109/iccis.2010.104 ◽

2010 ◽

Cited By ~ 1

Author(s):

Ning Ma

Keyword(s):

Finite Element ◽

Porous Media ◽

Convergence Analysis ◽

Mixed Finite Element ◽

Miscible Displacement ◽

Collocation Methods ◽

Orthogonal Collocation

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A virtual element method for the miscible displacement of incompressible fluids in porous media

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2020.113649 ◽

2021 ◽

Vol 375 ◽

pp. 113649

Author(s):

L. Beirão da Veiga ◽

A. Pichler ◽

G. Vacca

Keyword(s):

Porous Media ◽

Incompressible Fluids ◽

Miscible Displacement ◽

Virtual Element Method ◽

Virtual Element ◽

Element Method

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A splitting positive definite mixed element method for miscible displacement of compressible flow in porous media

Numerical Methods for Partial Differential Equations ◽

10.1002/num.3 ◽

2001 ◽

Vol 17 (3) ◽

pp. 229-249 ◽

Cited By ~ 40

Author(s):

Danping Yang

Keyword(s):

Porous Media ◽

Compressible Flow ◽

Positive Definite ◽

Miscible Displacement ◽

Flow In Porous Media ◽

Mixed Element ◽

Element Method

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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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Convergence Analysis of a Mixed Finite Volume Scheme for an Elliptic-Parabolic System Modeling Miscible Fluid Flows in Porous Media

SIAM Journal on Numerical Analysis ◽

10.1137/060657236 ◽

2007 ◽

Vol 45 (5) ◽

pp. 2228-2258 ◽

Cited By ~ 21

Author(s):

Claire Chainais-Hillairet ◽

Jérôme Droniou

Keyword(s):

Porous Media ◽

Convergence Analysis ◽

Finite Volume ◽

Parabolic System ◽

System Modeling ◽

Fluid Flows ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Flows In Porous Media ◽

Miscible Fluid

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Three-dimensional miscible displacement simulations in homogeneous porous media with gravity override

Journal of Fluid Mechanics ◽

10.1017/s0022112003005974 ◽

2003 ◽

Vol 494 ◽

pp. 95-117 ◽

Cited By ~ 42

Author(s):

A. RIAZ ◽

E. MEIBURG

Keyword(s):

Porous Media ◽

Three Dimensional ◽

Miscible Displacement ◽

Homogeneous Porous Media

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Miscible Displacement in Porous Media Influenced by Mobile and Immobile Water

Rocky Mountain Journal of Mathematics ◽

10.1216/rmjm/1181072958 ◽

1991 ◽

Vol 21 (2) ◽

pp. 645-669 ◽

Cited By ~ 9

Author(s):

Ulrich Hornung

Keyword(s):

Porous Media ◽

Miscible Displacement ◽

Immobile Water

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Convergence analysis of a DDFV scheme for a system describing miscible fluid flows in porous media

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21913 ◽

2014 ◽

Vol 31 (3) ◽

pp. 723-760 ◽

Cited By ~ 15

Author(s):

Claire Chainais-Hillairet ◽

Stella Krell ◽

Alexandre Mouton

Keyword(s):

Porous Media ◽

Convergence Analysis ◽

Fluid Flows ◽

Flows In Porous Media ◽

Miscible Fluid

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