Error estimates of finite element methods for fractional stochastic Navier–Stokes equations

Xiaocui Li; Xiaoyuan Yang

doi:10.1186/s13660-018-1880-y

Error estimates of finite element methods for fractional stochastic Navier–Stokes equations

Journal of Inequalities and Applications ◽

10.1186/s13660-018-1880-y ◽

2018 ◽

Vol 2018 (1) ◽

Author(s):

Xiaocui Li ◽

Xiaoyuan Yang

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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Residual a posteriori error estimates for two-level finite element methods for the Navier–Stokes equations

Applied Numerical Mathematics ◽

10.1016/s0168-9274(00)00058-1 ◽

2001 ◽

Vol 37 (4) ◽

pp. 503-518 ◽

Cited By ~ 18

Author(s):

Volker John

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Stokes Equations ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Navier Stokes ◽

A Posteriori ◽

Navier Stokes Equations ◽

A Posteriori Error

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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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Thomasset, F., Implementation of Finite Element Methods for Navier Stokes Equations. Berlin-Heidelberg-New York, Springer-Verlag 1981. VII, 161 S., 86 Abb., DM 72,–. US $ 33.60. ISBN 3-540-10771-1 (Springer Series in Computational Physics)

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.19830630311 ◽

1983 ◽

Vol 63 (3) ◽

pp. 214-214

Author(s):

H. Wilke

Keyword(s):

New York ◽

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Computational Physics ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Springer Series

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Weighted least-squares finite element methods for the linearized Navier–Stokes equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2013.864391 ◽

2014 ◽

Vol 91 (9) ◽

pp. 1964-1985 ◽

Cited By ~ 4

Author(s):

Hsueh-Chen Lee

Keyword(s):

Finite Element ◽

Least Squares ◽

Finite Element Methods ◽

Stokes Equations ◽

Weighted Least Squares ◽

Navier Stokes ◽

Navier Stokes Equations

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Low‐order stabilized finite element methods for the unsteady Stokes/Navier‐Stokes equations with friction boundary conditions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4738 ◽

2018 ◽

Vol 41 (5) ◽

pp. 2119-2139 ◽

Cited By ~ 1

Author(s):

Hailong Qiu ◽

Changfeng Xue ◽

Liang Xue

Keyword(s):

Finite Element ◽

Boundary Conditions ◽

Finite Element Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Stabilized Finite Element Methods ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Low Order

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Finite element methods and Navier-Stokes equations

Computing Methods in Applied Sciences and Engineering, 1977, II - Lecture Notes in Physics ◽

10.1007/3-540-09119-x_91 ◽

2008 ◽

pp. 27-47 ◽

Cited By ~ 3

Author(s):

P. A. Raviart

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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Solution of the Compressible Navier-Stokes Equations by Least-Squares and Finite Element Methods

Numerical Simulation of Compressible Navier-Stokes Flows ◽

10.1007/978-3-322-87873-1_5 ◽

1987 ◽

pp. 85-104 ◽

Cited By ~ 1

Author(s):

M. O. Bristeau ◽

R. Glowinski ◽

B. Mantel ◽

J. Periaux ◽

C. Pouletty

Keyword(s):

Finite Element ◽

Least Squares ◽

Finite Element Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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Finite element methods for solving the Navier-Stokes equations for compressible unsteady flows

Ninth International Conference on Numerical Methods in Fluid Dynamics - Lecture Notes in Physics ◽

10.1007/3-540-13917-6_119 ◽

2008 ◽

pp. 115-120

Author(s):

M. O. Bristeau ◽

R. Glowinski ◽

B. Mantel ◽

J. Periaux

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Unsteady Flows ◽

Navier Stokes ◽

Navier Stokes Equations

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Explicitly uncoupled variational multiscale for characteristic finite element methods based on the unsteady Navier–Stokes equations with high Reynolds number

Applied Mathematical Modelling ◽

10.1016/j.apm.2014.12.033 ◽

2015 ◽

Vol 39 (14) ◽

pp. 4202-4212 ◽

Cited By ~ 2

Author(s):

Gang Chen ◽

Minfu Feng

Keyword(s):

Reynolds Number ◽

Finite Element ◽

Finite Element Methods ◽

High Reynolds Number ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Variational Multiscale ◽

Characteristic Finite Element ◽

High Reynolds

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Finite Element Methods for Navier-Stokes Equations

10.1007/978-3-642-61623-5 ◽

1986 ◽

Cited By ~ 2140

Author(s):

Vivette Girault ◽

Pierre-Arnaud Raviart

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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