An Application of Mixed Finite Element Methods to the Stability of the Incompressible Navier–Stokes Equation

Janet S. Peterson

doi:10.1137/0904043

An Application of Mixed Finite Element Methods to the Stability of the Incompressible Navier–Stokes Equation

SIAM Journal on Scientific and Statistical Computing ◽

10.1137/0904043 ◽

1983 ◽

Vol 4 (4) ◽

pp. 626-634 ◽

Cited By ~ 2

Author(s):

Janet S. Peterson

Keyword(s):

Finite Element ◽

Stokes Equation ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Navier Stokes ◽

Navier Stokes Equation ◽

The Stability ◽

Incompressible Navier Stokes Equation

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Accuracy and convergence of thep- andhp-type finite element methods for the Navier-Stokes equation

AIChE Journal ◽

10.1002/aic.690380109 ◽

1992 ◽

Vol 38 (1) ◽

pp. 83-92 ◽

Cited By ~ 3

Author(s):

Kapil K. Talwar ◽

Bamin Khomami

Keyword(s):

Finite Element ◽

Stokes Equation ◽

Finite Element Methods ◽

Navier Stokes ◽

Navier Stokes Equation

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The element separation property and parallel finite element methods for the Navier-Stokes equation

Applied Mathematics Letters ◽

10.1016/0893-9659(95)00056-v ◽

1995 ◽

Vol 8 (4) ◽

pp. 97-102 ◽

Cited By ~ 1

Author(s):

W. Layton ◽

P. Rabier

Keyword(s):

Finite Element ◽

Stokes Equation ◽

Finite Element Methods ◽

Separation Property ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Parallel Finite Element

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On the stability and convergence of higher-order mixed finite element methods for second-order elliptic problems

Mathematics of Computation ◽

10.1090/s0025-5718-1990-0990603-x ◽

1990 ◽

Vol 54 (189) ◽

pp. 1-1 ◽

Cited By ~ 20

Author(s):

Manil Suri

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Higher Order ◽

Second Order ◽

Mixed Finite Element Methods ◽

Stability And Convergence ◽

The Stability ◽

Second Order Elliptic Problems

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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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Petrov-Galerkin Finite Element Method for Incompressible Navier-Stokes Equation Using Bubble Element

Journal of Applied Mechanics ◽

10.2208/journalam.4.121 ◽

2001 ◽

Vol 4 ◽

pp. 121-126

Author(s):

Hiroshi OKUMURA ◽

Mutsuto KAWAHARA

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equation ◽

Navier Stokes ◽

Galerkin Finite Element Method ◽

Navier Stokes Equation ◽

Galerkin Finite Element ◽

Incompressible Navier Stokes Equation ◽

Element Method

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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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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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