On the locking-free three-field virtual element methods for Biot’s consolidation model in poroelasticity
ESAIM: M2AN, 55 (2021) S909-S939
Published online: 2021-02-26
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Two-grid reduced-dimension method and applications for the nonlinear single phase flow model coupled with ground stress in porous median
Jie Chu, Yuejie Li, Minfu Feng and Zhendong LuoCommunications in Nonlinear Science and Numerical Simulation 158 109793 (2026)
https://doi.org/10.1016/j.cnsns.2026.109793
Filler-Induced Lymphatic Compromise: In Silico Modelling of Facial Safety Thresholds and Injection Techniques
Eqram Rahman, Alain Michon, Parinitha Rao, Sotirios Ioannidis, Karim Sayed, Wolfgang G. Pilipp-Dormston, William Richard Webb, Jean D. A. Carruthers and Woffles T. L. WuAesthetic Plastic Surgery (2026)
https://doi.org/10.1007/s00266-026-05671-z
Parameter robust isogeometric methods for a four-field formulation of Biot’s consolidation model
Hanyu Chu and Luca Franco PavarinoMathematical Models and Methods in Applied Sciences 35 (05) 1199 (2025)
https://doi.org/10.1142/S0218202525500150
Three parameter-robust virtual element numerical schemes for a Stokes–Biot fluid-poroelastic structure interaction model
Xin Liu, Qixuan Song, Yiqiang Li and Junfeng ZhaoESAIM: Mathematical Modelling and Numerical Analysis 59 (4) 2111 (2025)
https://doi.org/10.1051/m2an/2025055
A Mixed Virtual Element Method for the Four‐Field Poroelasticity Problem on Polygonal Meshes and Its Simulation in Brain Edema
Gang Wang, Mingchao Cai, Xiaojing Dong and Yinnian HeNumerical Methods for Partial Differential Equations 41 (6) (2025)
https://doi.org/10.1002/num.70052
New stabilized mixed finite element methods for two-field poroelasticity with low permeability
Linshuang He, Luru Jing and Minfu FengApplied Mathematics and Computation 494 129285 (2025)
https://doi.org/10.1016/j.amc.2025.129285
Mixed virtual element method for integro-differential equations of parabolic type
Meghana Suthar, Sangita Yadav and Sarvesh KumarJournal of Applied Mathematics and Computing 70 (4) 2827 (2024)
https://doi.org/10.1007/s12190-024-02066-8
Numerical Solution of the Biot/Elasticity Interface Problem Using Virtual Element Methods
Sarvesh Kumar, David Mora, Ricardo Ruiz-Baier and Nitesh VermaJournal of Scientific Computing 98 (3) (2024)
https://doi.org/10.1007/s10915-023-02444-7
A parameter robust reconstruction nonconforming virtual element method for the incompressible poroelasticity model
Hao Liang and Hongxing RuiApplied Numerical Mathematics 202 127 (2024)
https://doi.org/10.1016/j.apnum.2024.05.001
Conforming and Nonconforming Virtual Element Methods for Signorini Problems
Yuping Zeng, Liuqiang Zhong, Mingchao Cai, Feng Wang and Shangyou ZhangJournal of Scientific Computing 100 (1) (2024)
https://doi.org/10.1007/s10915-024-02562-w
Analysis of two discontinuous Galerkin finite element methods for the total pressure formulation of linear poroelasticity model
Linshuang He, Jun Guo and Minfu FengApplied Numerical Mathematics 204 60 (2024)
https://doi.org/10.1016/j.apnum.2024.06.004
Two-grid mixed finite element method for nonlinear multi-physical quantities problem of the single-phase flow coupled with geostress in porous media
Yanchao Li, Jianguo Shen, Junxiang Li, Fei Teng, Jing Yang, Minfu Feng, Qiang Ma and Zhendong LuoJournal of Mathematical Analysis and Applications 531 (1) 127884 (2024)
https://doi.org/10.1016/j.jmaa.2023.127884
VIRTUAL ELEMENT APPROXIMATIONS FOR NON-STATIONARY NAVIER-STOKES EQUATIONS ON POLYGONAL MESHES
Nitesh Verma and Sarvesh KumarJournal of Applied Analysis & Computation 13 (3) 1155 (2023)
https://doi.org/10.11948/20210381
The nonconforming locking-free virtual element method for the Biot's consolidation model in poroelasticity
Hao Liang and Hongxing RuiComputers & Mathematics with Applications 148 269 (2023)
https://doi.org/10.1016/j.camwa.2023.08.012
A virtual element method for overcoming locking phenomena in Biot’s consolidation model
Xin Liu and Zhangxin ChenESAIM: Mathematical Modelling and Numerical Analysis 57 (5) 3007 (2023)
https://doi.org/10.1051/m2an/2023073
A locking-free and mass conservative H(div) conforming DG method for the Biot's consolidation model
Linshuang He, Minfu Feng and Jun GuoComputers & Mathematics with Applications 136 151 (2023)
https://doi.org/10.1016/j.camwa.2023.01.034
VIRTUAL ELEMENT APPROXIMATIONS FOR TWO SPECIES MODEL OF THE ADVECTION-DIFFUSION-REACTION IN POROELASTIC MEDIA
Nitesh Verma and Sarvesh KumarMathematical Modelling and Analysis 27 (4) 668 (2022)
https://doi.org/10.3846/mma.2022.15542
A Robust and Mass Conservative Virtual Element Method for Linear Three-field Poroelasticity
Jun Guo and Minfu FengJournal of Scientific Computing 92 (3) (2022)
https://doi.org/10.1007/s10915-022-01960-2
A mixed virtual element method for Biot's consolidation model
Feng Wang, Mingchao Cai, Gang Wang and Yuping ZengComputers & Mathematics with Applications 126 31 (2022)
https://doi.org/10.1016/j.camwa.2022.09.005
Virtual element methods for the three-field formulation of time-dependent linear poroelasticity
Raimund Bürger, Sarvesh Kumar, David Mora, Ricardo Ruiz-Baier and Nitesh VermaAdvances in Computational Mathematics 47 (1) (2021)
https://doi.org/10.1007/s10444-020-09826-7