Analysis of Expanded Mixed Finite Element Methods for a Nonlinear Parabolic Equation Modeling Flow into Variably Saturated Porous Media

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142996311040 ◽

2000 ◽

Vol 37 (3) ◽

pp. 701-724 ◽

Author(s):

Carol S. Woodward ◽

Clint N. Dawson

Keyword(s):

Finite Element ◽

Porous Media ◽

Parabolic Equation ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Equation Modeling ◽

Saturated Porous Media ◽

Nonlinear Parabolic ◽

Expanded Mixed Finite Element ◽

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Analysis of Two-Grid Methods for Nonlinear Parabolic Equations by Expanded Mixed Finite Element Methods

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.09-m09s09 ◽

2009 ◽

Vol 1 (6) ◽

pp. 830-844 ◽

Author(s):

Yanping Chen

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Parabolic Equations ◽

Mixed Finite Element ◽

Nonlinear Parabolic Equations ◽

Mixed Finite Element Methods ◽

Nonlinear Parabolic ◽

Expanded Mixed Finite Element

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Two-Grid method for nonlinear parabolic equations by expanded mixed finite element methods

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21753 ◽

2012 ◽

Vol 29 (4) ◽

pp. 1238-1256 ◽

Author(s):

Yanping Chen ◽

Luoping Chen ◽

Xiaochun Zhang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Parabolic Equations ◽

Mixed Finite Element ◽

Grid Method ◽

Nonlinear Parabolic Equations ◽

Mixed Finite Element Methods ◽

Nonlinear Parabolic ◽

Expanded Mixed Finite Element

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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 ◽

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 ◽

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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SharpL2-Error Estimates and Superconvergence of Mixed Finite Element Methods for Non-Fickian Flows in Porous Media

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142900378406 ◽

2002 ◽

Vol 40 (4) ◽

pp. 1538-1560 ◽

Author(s):

Richard E. Ewing ◽

Yanping Lin. ◽

Tong Sun. ◽

Junping Wang. ◽

Shuhua Zhang

Keyword(s):

Finite Element ◽

Porous Media ◽

Error Estimates ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Flows In Porous Media

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Least-Squares Expanded Mixed Finite Element Method for Incompressible Miscible Displacement Problem in Porous Media

Future Computing, Communication, Control and Management - Lecture Notes in Electrical Engineering ◽

10.1007/978-3-642-27326-1_30 ◽

2012 ◽

pp. 233-240

Author(s):

Fengxin Chen ◽

Huanzhen Chen

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Porous Media ◽

Least Squares ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Miscible Displacement ◽

Displacement Problem ◽

Expanded Mixed Finite Element ◽

Incompressible Miscible Displacement Problem

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Two-grid Raviart-Thomas mixed finite element methods combined with Crank-Nicolson scheme for a class of nonlinear parabolic equations

Advances in Computational Mathematics ◽

10.1007/s10444-020-09777-z ◽

2020 ◽

Vol 46 (2) ◽

Author(s):

Tianliang Hou ◽

Luoping Chen ◽

Yueting Yang ◽

Yin Yang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Parabolic Equations ◽

Mixed Finite Element ◽

Nonlinear Parabolic Equations ◽

Mixed Finite Element Methods ◽

Nonlinear Parabolic ◽

Nicolson Scheme ◽

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Evaluation ofu -w andu - π finite element methods for the dynamic response of saturated porous media using one-dimensional models

International Journal for Numerical and Analytical Methods in Geomechanics ◽

10.1002/nag.1610100502 ◽

1986 ◽

Vol 10 (5) ◽

pp. 461-482 ◽

Author(s):

B. R. Simon ◽

J. S.-S. Wu ◽

O. C. Zienkiewicz ◽

D. K. Paul

Keyword(s):

Finite Element ◽

Porous Media ◽

Dynamic Response ◽

Finite Element Methods ◽

Saturated Porous Media ◽

One Dimensional ◽

Dimensional Models

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New coupled analysis for nearly incompressible and impermeable saturated porous media on mixed finite element method: II. Verifications

KSCE Journal of Civil Engineering ◽

10.1007/s12205-010-0017-8 ◽

2009 ◽

Vol 14 (1) ◽

pp. 17-24 ◽

Author(s):

Moonho Tak ◽

Taehyo Park

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Porous Media ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Coupled Analysis ◽

Saturated Porous Media ◽

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An Expanded Mixed Finite Element Method for Space Fractional Darcy Flow in Porous Media

Lecture Notes in Computer Science - Computational Science – ICCS 2020 ◽

10.1007/978-3-030-50436-6_15 ◽

2020 ◽

pp. 205-216

Author(s):

Huangxin Chen ◽

Shuyu Sun

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Porous Media ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Flow In Porous Media ◽

Expanded Mixed Finite Element ◽

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