An Optimal Error Estimate for a Nonconforming Finite Element Method of Upwind Type Applied to the Stationary Navier–Stokes Equations in Two and Three Dimensions

finite element methods ◽

10.1201/b16924-40 ◽

2016 ◽

pp. 427-436 ◽

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimate ◽

Stokes Equations ◽

Three Dimensions ◽

Navier Stokes ◽

Optimal Error Estimate ◽

Nonconforming Finite Element ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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A two-level stabilized nonconforming finite element method for the stationary Navier–Stokes equations

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2011.02.015 ◽

2015 ◽

Vol 114 ◽

pp. 37-48 ◽

Author(s):

Liping Zhu ◽

Zhangxin Chen

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Navier Stokes ◽

Nonconforming Finite Element ◽

Navier Stokes Equations ◽

Nonconforming Finite Element Method ◽

Stationary Navier Stokes Equations ◽

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A Nonconforming Finite Element Method for the Stationary Navier--Stokes Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142996297199 ◽

1998 ◽

Vol 35 (1) ◽

pp. 93-120 ◽

Author(s):

Ohannes A. Karakashian ◽

Wadi N. Jureidini

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Navier Stokes ◽

Nonconforming Finite Element ◽

Navier Stokes Equations ◽

Nonconforming Finite Element Method ◽

Stationary Navier Stokes Equations ◽

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Optimal error estimate of the penalty finite element method for the time-dependent Navier-Stokes equations

Mathematics of Computation ◽

10.1090/s0025-5718-05-01751-5 ◽

2005 ◽

Vol 74 (251) ◽

pp. 1201-1217 ◽

Author(s):

Yinnian He

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimate ◽

Stokes Equations ◽

Time Dependent ◽

Navier Stokes ◽

Optimal Error Estimate ◽

Optimal Error ◽

Navier Stokes Equations ◽

Penalty Finite Element Method

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A Two-Level Stabilized Nonconforming Finite Element Method for the Stationary Navier-Stokes Equations

Lecture Notes in Computer Science - High Performance Computing and Applications ◽

10.1007/978-3-642-11842-5_81 ◽

2010 ◽

pp. 579-585

Author(s):

Liping Zhu ◽

Zhangxin Chen

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Navier Stokes ◽

Nonconforming Finite Element ◽

Navier Stokes Equations ◽

Nonconforming Finite Element Method ◽

Stationary Navier Stokes Equations ◽

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A new local stabilized nonconforming finite element method for solving stationary Navier–Stokes equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2010.12.001 ◽

2011 ◽

Vol 235 (8) ◽

pp. 2821-2831 ◽

Author(s):

Liping Zhu ◽

Jian Li ◽

Zhangxin Chen

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Navier Stokes ◽

Nonconforming Finite Element ◽

Navier Stokes Equations ◽

Nonconforming Finite Element Method ◽

Stationary Navier Stokes Equations ◽

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Error estimate of the P 1 nonconforming finite element method for the penalized unsteady Navier-Stokes equations

Numerische Mathematik ◽

10.1007/s00211-009-0277-8 ◽

2009 ◽

Vol 115 (2) ◽

pp. 261-287 ◽

Author(s):

Xiliang Lu ◽

Ping Lin

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimate ◽

Stokes Equations ◽

Navier Stokes ◽

Nonconforming Finite Element ◽

Navier Stokes Equations ◽

Nonconforming Finite Element Method ◽

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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 ◽

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Stabilized finite-element method for the stationary Navier-Stokes equations

Journal of Engineering Mathematics ◽

10.1007/s10665-004-3718-5 ◽

2005 ◽

Vol 51 (4) ◽

pp. 367-380 ◽

Author(s):

Yinnian He ◽

Aiwen Wang ◽

Liquan Mei

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Stabilized Finite Element Method ◽

Stationary Navier Stokes Equations ◽

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A characteristic stabilized finite element method for the non-stationary Navier–Stokes equations

Computing ◽

10.1007/s00607-011-0153-0 ◽

2011 ◽

Vol 93 (1) ◽

pp. 65-87 ◽

Author(s):

Hongen Jia ◽

Demin Liu ◽

Kaitai Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Stabilized Finite Element Method ◽

Stationary Navier Stokes Equations ◽

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The Crouzeix-Raviart type nonconforming finite element method for the nonstationary Navier-Stokes equations on anisotropic meshes

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-014-0274-2 ◽

2014 ◽

Vol 30 (1) ◽

pp. 145-156 ◽

Author(s):

Dong-yang Shi ◽

Hui-min Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Navier Stokes ◽

Nonconforming Finite Element ◽

Navier Stokes Equations ◽

Nonconforming Finite Element Method ◽

Anisotropic Meshes ◽

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