Numerical comparisons of time–space iterative method and spatial iterative methods for the stationary Navier–Stokes equations

Yinnian He; Jian Li

doi:10.1016/j.jcp.2012.06.007

Numerical comparisons of time–space iterative method and spatial iterative methods for the stationary Navier–Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2012.06.007 ◽

2012 ◽

Vol 231 (20) ◽

pp. 6790-6800 ◽

Cited By ~ 13

Author(s):

Yinnian He ◽

Jian Li

Keyword(s):

Iterative Method ◽

Iterative Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Numerical Comparisons ◽

Time Space ◽

Stationary Navier Stokes Equations

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Second order time–space iterative method for the stationary Navier–Stokes equations

Applied Mathematics Letters ◽

10.1016/j.aml.2016.02.018 ◽

2016 ◽

Vol 59 ◽

pp. 79-86 ◽

Cited By ~ 3

Author(s):

Pengzhan Huang ◽

Yinnian He ◽

Xinlong Feng

Keyword(s):

Iterative Method ◽

Stokes Equations ◽

Second Order ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Space ◽

Stationary Navier Stokes Equations

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Convergence of three iterative methods based on the finite element discretization for the stationary Navier–Stokes equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2008.12.001 ◽

2009 ◽

Vol 198 (15-16) ◽

pp. 1351-1359 ◽

Cited By ~ 100

Author(s):

Yinnian He ◽

Jian Li

Keyword(s):

Finite Element ◽

Iterative Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Finite Element Discretization ◽

Navier Stokes Equations ◽

Element Discretization ◽

Stationary Navier Stokes Equations

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On a shape control problem for the stationary Navier-Stokes equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2000125 ◽

2000 ◽

Vol 34 (6) ◽

pp. 1233-1258 ◽

Cited By ~ 23

Author(s):

Max D. Gunzburger ◽

Hongchul Kim ◽

Sandro Manservisi

Keyword(s):

Control Problem ◽

Shape Control ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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Axisymmetric problem of non-stationary Navier-Stokes equations coupled with the heat equation

10.1063/5.0041937 ◽

2021 ◽

Author(s):

M. El Hatri ◽

R. Ghenji ◽

N. Popivanov

Keyword(s):

Heat Equation ◽

Axisymmetric Problem ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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An Upwind Nonlinear Galerkin Finite Element Method For The Stationary Navier-Stokes Equations

10.1063/1.3452172 ◽

2010 ◽

Author(s):

Juan Wen ◽

Jane W. Z. Lu ◽

Andrew Y. T. Leung ◽

Vai Pan Iu ◽

Kai Meng Mok

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Navier Stokes ◽

Galerkin Finite Element Method ◽

Navier Stokes Equations ◽

Galerkin Finite Element ◽

Stationary Navier Stokes Equations ◽

Element Method

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Linear and non-linear iterative methods for the incompressible Navier-Stokes equations

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1650180302 ◽

1994 ◽

Vol 18 (3) ◽

pp. 229-256 ◽

Cited By ~ 15

Author(s):

Simon S. Clift ◽

Peter A. Forsyth

Keyword(s):

Iterative Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Non Linear

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Erratum to: Existence and Regularity of Very Weak Solutions of the Stationary Navier–Stokes Equations

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-010-0310-1 ◽

2010 ◽

Vol 196 (3) ◽

pp. 1079-1080 ◽

Cited By ~ 1

Author(s):

Hyunseok Kim

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Very Weak Solutions ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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A new defect-correction method for the stationary Navier-Stokes equations based on pressure projection

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4608 ◽

2017 ◽

Vol 41 (1) ◽

pp. 250-260 ◽

Cited By ~ 1

Author(s):

Juan Wen ◽

Yinnian He

Keyword(s):

Stokes Equations ◽

Correction Method ◽

Navier Stokes ◽

Defect Correction ◽

Navier Stokes Equations ◽

Pressure Projection ◽

Stationary Navier Stokes Equations

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Solving the stationary Navier–Stokes equations by using Taylor meshless method

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2018.09.014 ◽

2019 ◽

Vol 98 ◽

pp. 8-16 ◽

Cited By ~ 11

Author(s):

Jie Yang ◽

Michel Potier-Ferry ◽

Heng Hu

Keyword(s):

Meshless Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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Second-Order Optimality Conditions and Solution Stability to Optimal Control Problems Governed by Stationary Navier-Stokes Equations

Acta Mathematica Vietnamica ◽

10.1007/s40306-018-00304-3 ◽

2018 ◽

Vol 44 (2) ◽

pp. 431-448 ◽

Cited By ~ 2

Author(s):

Bui Trong Kien

Keyword(s):

Optimal Control ◽

Optimality Conditions ◽

Optimal Control Problems ◽

Stokes Equations ◽

Navier Stokes ◽

Control Problems ◽

Solution Stability ◽

Navier Stokes Equations ◽

Second Order Optimality Conditions ◽

Stationary Navier Stokes Equations

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