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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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 penalty finite element method based on the Euler implicit/explicit scheme for the time-dependent Navier–Stokes equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2010.06.025 ◽

2010 ◽

Vol 235 (3) ◽

pp. 708-725 ◽

Author(s):

Yinnian He ◽

Jian Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Explicit Scheme ◽

Time Dependent ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Penalty Finite Element Method ◽

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Continuous interior penalty finite element method for the time-dependent Navier–Stokes equations: space discretization and convergence

Numerische Mathematik ◽

10.1007/s00211-007-0070-5 ◽

2007 ◽

Vol 107 (1) ◽

pp. 39-77 ◽

Author(s):

Erik Burman ◽

Miguel A. Fernández

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Time Dependent ◽

Navier Stokes ◽

Interior Penalty ◽

Navier Stokes Equations ◽

Space Discretization ◽

Penalty Finite Element Method ◽

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A posteriori error estimates of finite element method for the time-dependent Navier–Stokes equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.07.005 ◽

2017 ◽

Vol 315 ◽

pp. 13-26 ◽

Author(s):

Tong Zhang ◽

ShiShun Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Time Dependent ◽

Navier Stokes ◽

A Posteriori ◽

Navier Stokes Equations ◽

A Posteriori Error

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A fully discrete stabilized finite element method for the time-dependent Navier–Stokes equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2009.04.037 ◽

2009 ◽

Vol 215 (1) ◽

pp. 85-99 ◽

Author(s):

Li Shan ◽

Yanren Hou

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Time Dependent ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Fully Discrete ◽

Stabilized Finite Element Method ◽

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Optimal Error Estimate of the Penalty Finite Element Method for the Micropolar Fluid Equations

Numerical Functional Analysis and Optimization ◽

10.1080/01630560802099555 ◽

2008 ◽

Vol 29 (5-6) ◽

pp. 612-637 ◽

Author(s):

Elva Ortega-Torres ◽

Marko Rojas-Medar

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimate ◽

Micropolar Fluid ◽

Optimal Error Estimate ◽

Optimal Error ◽

Fluid Equations ◽

Micropolar Fluid Equations ◽

Penalty 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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Optimal error estimate for a mixed finite element method for compressible Navier–Stokes system

Applied Numerical Mathematics ◽

10.1016/s0168-9274(02)00213-1 ◽

2003 ◽

Vol 45 (2-3) ◽

pp. 275-292 ◽

Author(s):

Jae Ryong Kweon

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimate ◽

Stokes System ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Navier Stokes ◽

Optimal Error Estimate ◽

Optimal Error ◽

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Stabilized finite element method based on the Crank--Nicolson extrapolation scheme for the time-dependent Navier--Stokes equations

Mathematics of Computation ◽

10.1090/s0025-5718-06-01886-2 ◽

2007 ◽

Vol 76 (257) ◽

pp. 115-137 ◽

Author(s):

Yinnian He ◽

Weiwei Sun

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Time Dependent ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Stabilized Finite Element Method ◽

Extrapolation Scheme ◽

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Superconvergent analysis of a nonconforming mixed finite element method for time-dependent damped Navier–Stokes equations

Computational and Applied Mathematics ◽

10.1007/s40314-020-01381-7 ◽

2021 ◽

Vol 40 (1) ◽

Author(s):

Liu Qian ◽

Shi Dongyang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Time Dependent ◽

Navier Stokes ◽

Navier Stokes Equations ◽

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