Decoupled modified characteristic finite element method for the time‐dependent Navier–Stokes/Biot problem

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22830 ◽

2021 ◽

Author(s):

Liming Guo ◽

Wenbin Chen

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Time Dependent ◽

Navier Stokes ◽

Characteristic Finite Element ◽

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Decoupled modified characteristic finite element method with different subdomain time steps for nonstationary dual–porosity–Navier–Stokes model

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.04.012 ◽

2021 ◽

Author(s):

Luling Cao ◽

Yinnian He ◽

Jian Li ◽

Md. Abdullah Al Mahbub

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Dual Porosity ◽

Navier Stokes ◽

Characteristic Finite Element ◽

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A fully discrete stabilized finite-element method for the time-dependent Navier-Stokes problem

IMA Journal of Numerical Analysis ◽

10.1093/imanum/23.4.665 ◽

2003 ◽

Vol 23 (4) ◽

pp. 665-691 ◽

Author(s):

Y. He

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Problem ◽

Time Dependent ◽

Navier Stokes ◽

Stabilized Finite Element ◽

Fully Discrete ◽

Stabilized Finite Element Method ◽

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A fully discrete stabilized finite element method for the time-dependent Navier–Stokes equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2009.04.037 ◽

2009 ◽

Vol 215 (1) ◽

pp. 85-99 ◽

Author(s):

Li Shan ◽

Yanren Hou

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Time Dependent ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Fully Discrete ◽

Stabilized Finite Element Method ◽

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A stabilised characteristic finite element method for transient Navier–Stokes equations

International Journal of Computational Fluid Dynamics ◽

10.1080/10618562.2010.535791 ◽

2010 ◽

Vol 24 (9) ◽

pp. 369-381 ◽

Author(s):

Tong Zhang ◽

Zhiyong Si ◽

Yinnian He

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Characteristic Finite Element ◽

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Modified characteristics mixed defect-correction finite element method for the time-dependent Navier–Stokes problems

Applicable Analysis ◽

10.1080/00036811.2014.899354 ◽

2014 ◽

Vol 94 (4) ◽

pp. 701-724 ◽

Author(s):

Zhiyong Si ◽

Yinnian He ◽

Yunxia Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Time Dependent ◽

Navier Stokes ◽

Defect Correction ◽

Stokes Problems ◽

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A streamline diffusion nonconforming finite element method for the time-dependent linearized Navier-Stokes equations

Applied Mathematics and Mechanics ◽

10.1007/s10483-010-1320-z ◽

2010 ◽

Vol 31 (7) ◽

pp. 861-874 ◽

Author(s):

Yu-mei Chen ◽

Xiao-ping Xie

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Time Dependent ◽

Navier Stokes ◽

Nonconforming Finite Element ◽

Navier Stokes Equations ◽

Nonconforming Finite Element Method ◽

Streamline Diffusion ◽

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Stabilized finite element method based on the Crank--Nicolson extrapolation scheme for the time-dependent Navier--Stokes equations

Mathematics of Computation ◽

10.1090/s0025-5718-06-01886-2 ◽

2007 ◽

Vol 76 (257) ◽

pp. 115-137 ◽

Author(s):

Yinnian He ◽

Weiwei Sun

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Time Dependent ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Stabilized Finite Element Method ◽

Extrapolation Scheme ◽

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Superconvergent analysis of a nonconforming mixed finite element method for time-dependent damped Navier–Stokes equations

Computational and Applied Mathematics ◽

10.1007/s40314-020-01381-7 ◽

2021 ◽

Vol 40 (1) ◽

Author(s):

Liu Qian ◽

Shi Dongyang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Time Dependent ◽

Navier Stokes ◽

Navier Stokes Equations ◽

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A subgrid stabilizing postprocessed mixed finite element method for the time-dependent Navier-Stokes equations

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2020222 ◽

2017 ◽

Vol 22 (11) ◽

pp. 0-0

Author(s):

Yueqiang Shang ◽

◽

Qihui Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Time Dependent ◽

Navier Stokes ◽

Navier Stokes Equations ◽

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A quasi-Lagrangian finite element method for the Navier–Stokes equations in a time-dependent domain

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2018.01.024 ◽

2018 ◽

Vol 333 ◽

pp. 55-73 ◽

Author(s):

Alexander Lozovskiy ◽

Maxim A. Olshanskii ◽

Yuri V. Vassilevski

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Time Dependent ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Dependent Domain ◽

Lagrangian Finite Element ◽

Dependent Domain ◽

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