Mixed Finite Element Methods for Incompressible Flow: Stationary Navier–Stokes Equations

Zhiqiang Cai; Chunbo Wang; Shun Zhang

doi:10.1137/080718413

Mixed Finite Element Methods for Incompressible Flow: Stationary Navier–Stokes Equations

SIAM Journal on Numerical Analysis ◽

10.1137/080718413 ◽

2010 ◽

Vol 48 (1) ◽

pp. 79-94 ◽

Cited By ~ 16

Author(s):

Zhiqiang Cai ◽

Chunbo Wang ◽

Shun Zhang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Incompressible Flow ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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Pressure-robustness and discrete Helmholtz projectors in mixed finite element methods for the incompressible Navier–Stokes equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2016.08.018 ◽

2016 ◽

Vol 311 ◽

pp. 304-326 ◽

Cited By ~ 30

Author(s):

A. Linke ◽

C. Merdon

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Navier Stokes ◽

Navier Stokes Equations

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Superconvergence Analysis of Low Order Nonconforming Mixed Finite Element Methods for Time-Dependent Navier-Stokes Equations

Journal of Computational Mathematics ◽

10.4208/jcm.1907-m2018-0263 ◽

2021 ◽

Vol 39 (1) ◽

pp. 63-80

Author(s):

Huaijun Yang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Time Dependent ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Low Order

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Two-level mixed finite element methods for the Navier–Stokes equations with damping

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2018.10.002 ◽

2019 ◽

Vol 470 (1) ◽

pp. 292-307 ◽

Cited By ~ 7

Author(s):

Minghao Li ◽

Dongyang Shi ◽

Zhenzhen Li ◽

Hongru Chen

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Navier Stokes ◽

Navier Stokes Equations

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Error Estimates of Mixed Finite Element Methods for Time-Fractional Navier–Stokes Equations

Journal of Scientific Computing ◽

10.1007/s10915-016-0252-3 ◽

2016 ◽

Vol 70 (2) ◽

pp. 500-515 ◽

Cited By ~ 7

Author(s):

Xiaocui Li ◽

Xiaoyuan Yang ◽

Yinghan Zhang

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Navier Stokes ◽

Navier Stokes Equations

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Stabilized mixed finite element methods for the Navier-Stokes equations with damping

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5365 ◽

2018 ◽

Vol 42 (2) ◽

pp. 605-619 ◽

Cited By ~ 5

Author(s):

Zhenzhen Li ◽

Dongyang Shi ◽

Minghao Li

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stabilized Mixed Finite Element

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Mixed Finite Element Methods for Fractional Navier-Stokes Equations

Journal of Computational Mathematics ◽

10.4208/jcm.1911-m2018-0153 ◽

2021 ◽

Vol 39 (1) ◽

pp. 130-146

Author(s):

Xiaocui Li & Xu You

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Navier Stokes ◽

Navier Stokes Equations

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Dual-mixed finite element methods for the Navier-Stokes equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2012050 ◽

2013 ◽

Vol 47 (3) ◽

pp. 789-805 ◽

Cited By ~ 18

Author(s):

Jason S. Howell ◽

Noel J. Walkington

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Navier Stokes ◽

Navier Stokes Equations

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Least-squares mixed finite element methods for the incompressible Navier-Stokes equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.10015 ◽

2002 ◽

Vol 18 (4) ◽

pp. 441-453

Author(s):

Haiming Gu ◽

Xiaonan Wu

Keyword(s):

Finite Element ◽

Least Squares ◽

Finite Element Methods ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Navier Stokes ◽

Navier Stokes Equations

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Mixed finite element methods for incompressible flow: Stationary Stokes equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20467 ◽

2009 ◽

Vol 26 (4) ◽

pp. 957-978 ◽

Cited By ~ 27

Author(s):

Zhiqiang Cai ◽

Charles Tong ◽

Panayot S. Vassilevski ◽

Chunbo Wang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Incompressible Flow ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods

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Investigations on two kinds of two-level stabilized finite element methods for the stationary Navier–Stokes equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.05.034 ◽

2006 ◽

Vol 182 (2) ◽

pp. 1470-1481 ◽

Cited By ~ 22

Author(s):

Jian Li

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Stabilized Finite Element Methods ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Stationary Navier Stokes Equations

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