A four-field mixed finite element method for Biot's consolidation problems

Wenya Qi;  ; Padmanabhan Seshaiyer; Junping Wang;  ;

doi:10.3934/era.2020127

A four-field mixed finite element method for Biot's consolidation problems

Electronic Research Archive ◽

10.3934/era.2020127 ◽

2020 ◽

Vol 0 (0) ◽

pp. 0-0

Author(s):

Wenya Qi ◽

◽

Padmanabhan Seshaiyer ◽

Junping Wang ◽

◽

...

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Biot’S Consolidation ◽

Element Method

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A Least-Squares Mixed Finite Element Method for Biot's Consolidation Problem in Porous Media

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142903432929 ◽

2005 ◽

Vol 43 (1) ◽

pp. 318-339 ◽

Cited By ~ 30

Author(s):

Johannes Korsawe ◽

Gerhard Starke

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Porous Media ◽

Least Squares ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Biot’S Consolidation ◽

Element Method

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Convergence analysis of a new mixed finite element method for Biot's consolidation model

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21865 ◽

2014 ◽

Vol 30 (4) ◽

pp. 1189-1210 ◽

Cited By ~ 35

Author(s):

Son-Young Yi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Convergence Analysis ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Consolidation Model ◽

Biot’S Consolidation ◽

Element Method

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Analysis of an augmented fully-mixed finite element method for a bioconvective flows model

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113504 ◽

2021 ◽

Vol 393 ◽

pp. 113504

Author(s):

Eligio Colmenares ◽

Gabriel N. Gatica ◽

Willian Miranda

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Element Method

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Modeling and simulation of functionally graded flexoelectric micro-cylinders based on the mixed finite element method

Applied Physics A ◽

10.1007/s00339-021-04316-z ◽

2021 ◽

Vol 127 (2) ◽

Author(s):

Yicong Zheng ◽

Liangliang Chu ◽

Guansuo Dui ◽

Xiang Zhu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Modeling And Simulation ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Functionally Graded ◽

Element Method

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A Collocation Mixed Finite Element Method for the Analysis of Flexoelectric Solids

International Journal of Solids and Structures ◽

10.1016/j.ijsolstr.2021.01.031 ◽

2021 ◽

Author(s):

Xinpeng Tian ◽

Jan Sladek ◽

Vladimir Sladek ◽

Qian Deng ◽

Qun Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Element Method

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OptimalL ∞-estimates for a mixed finite element method for second order elliptic and parabolic problems

CALCOLO ◽

10.1007/bf02576470 ◽

1983 ◽

Vol 20 (3) ◽

pp. 355-377 ◽

Cited By ~ 13

Author(s):

R. Scholz

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Second Order ◽

Parabolic Problems ◽

Element Method

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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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Mixed finite element method for the nonlinear time-fractional stochastic fourth-order reaction–diffusion equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.12.004 ◽

2021 ◽

Vol 84 ◽

pp. 39-55

Author(s):

Xinfei Liu ◽

Xiaoyuan Yang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equation ◽

Fourth Order ◽

Mixed Finite Element ◽

Reaction Diffusion ◽

Mixed Finite Element Method ◽

Order Reaction ◽

Reaction Diffusion Equation ◽

Element Method

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Multigrid Methods for a Mixed Finite Element Method of the Darcy–Forchheimer Model

Journal of Scientific Computing ◽

10.1007/s10915-017-0466-z ◽

2017 ◽

Vol 74 (1) ◽

pp. 396-411 ◽

Cited By ~ 5

Author(s):

Jian Huang ◽

Long Chen ◽

Hongxing Rui

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Multigrid Methods ◽

Forchheimer Model ◽

Element Method

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An adaptive least-squares mixed finite element method for nonlinear parabolic problems

Computational Mathematics and Modeling ◽

10.1007/s10598-009-9028-z ◽

2009 ◽

Vol 20 (2) ◽

pp. 192-206

Author(s):

Haiming Gu ◽

Hongwei Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Parabolic Problems ◽

Nonlinear Parabolic Problems ◽

Nonlinear Parabolic ◽

Element Method

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