Error estimates for an upstream nonconforming finite element method to stationary linearized Navier-Stokes equations

Japan Journal of Applied Mathematics ◽

10.1007/bf03167872 ◽

1988 ◽

Vol 5 (2) ◽

pp. 187-203

Author(s):

Katsushi Ohmori

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimates ◽

Stokes Equations ◽

Navier Stokes ◽

Nonconforming Finite Element ◽

Navier Stokes Equations ◽

Nonconforming Finite Element Method ◽

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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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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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A nonconforming finite element method�with anisotropic mesh grading�for the incompressible Navier?Stokes equations�in domains with edges

CALCOLO ◽

10.1007/s100920200002 ◽

2002 ◽

Vol 39 (3) ◽

pp. 123-168 ◽

Author(s):

J. Lazaar ◽

S. Nicaise

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Navier Stokes ◽

Nonconforming Finite Element ◽

Navier Stokes Equations ◽

Anisotropic Mesh ◽

Nonconforming Finite Element Method ◽

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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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A Stabilized Characteristic-Nonconforming Finite Element Method for Time-Dependent Incompressible Navier–Stokes Equations

Bulletin of the Malaysian Mathematical Sciences Society ◽

10.1007/s40840-015-0272-4 ◽

2015 ◽

Vol 41 (1) ◽

pp. 207-230 ◽

Author(s):

Huiyong Jia ◽

Kaitai Li ◽

Hongen Jia

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Time Dependent ◽

Navier Stokes ◽

Nonconforming Finite Element ◽

Navier Stokes Equations ◽

Nonconforming Finite Element Method ◽

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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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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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Uniform in Time Error Estimates for a Finite Element Method Applied to a Downscaling Data Assimilation Algorithm for the Navier--Stokes Equations

SIAM Journal on Numerical Analysis ◽

10.1137/19m1246845 ◽

2020 ◽

Vol 58 (1) ◽

pp. 410-429

Author(s):

Bosco García-Archilla ◽

Julia Novo ◽

Edriss S. Titi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Data Assimilation ◽

Error Estimates ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

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