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 ◽

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 ◽

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Investigations on two kinds of two-level stabilized finite element methods for the stationary Navier–Stokes equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.05.034 ◽

2006 ◽

Vol 182 (2) ◽

pp. 1470-1481 ◽

Author(s):

Jian Li

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Stabilized Finite Element Methods ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Stationary Navier Stokes Equations

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Stabilized finite element methods: II. The incompressible Navier-Stokes equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(92)90041-h ◽

1992 ◽

Vol 99 (2-3) ◽

pp. 209-233 ◽

Author(s):

Leopoldo P. Franca ◽

Sérgio L. Frey

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Stabilized Finite Element Methods ◽

Navier Stokes Equations ◽

Stabilized Finite Element

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Two-level defect-correction Oseen iterative stabilized finite element methods for the stationary Navier–Stokes equations

Applied Mathematical Modelling ◽

10.1016/j.apm.2012.02.051 ◽

2013 ◽

Vol 37 (3) ◽

pp. 728-741 ◽

Author(s):

Pengzhan Huang ◽

Xinlong Feng ◽

Yinnian He

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Defect Correction ◽

Stabilized Finite Element Methods ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Stationary Navier Stokes Equations

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Locally Conservative, Stabilized Finite Element Methods for a Class of Variable Coefficient Navier-Stokes Equations

10.21236/ada508370 ◽

2009 ◽

Author(s):

Christopher E. Kees ◽

Matthew W. Farthing ◽

Moira T. Fong

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Variable Coefficient ◽

Stokes Equations ◽

Navier Stokes ◽

Stabilized Finite Element Methods ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Locally Conservative

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Adaptive discretization of stationary and incompressible Navier–Stokes equations by stabilized finite element methods

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(00)00327-3 ◽

2001 ◽

Vol 190 (34) ◽

pp. 4435-4455 ◽

Author(s):

Stefano Berrone

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Stabilized Finite Element Methods ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Adaptive Discretization

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A defect-correction stabilized finite element method for Navier–Stokes equations with friction boundary conditions

Applied Numerical Mathematics ◽

10.1016/j.apnum.2014.11.009 ◽

2015 ◽

Vol 90 ◽

pp. 9-21 ◽

Author(s):

Hailong Qiu ◽

Liquan Mei ◽

Hui Liu ◽

Stephen Cartwright

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Conditions ◽

Stokes Equations ◽

Navier Stokes ◽

Defect Correction ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Stabilized Finite Element Method ◽

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Superconvergence Analysis of Low Order Nonconforming Mixed Finite Element Methods for Time-Dependent Navier-Stokes Equations

Journal of Computational Mathematics ◽

10.4208/jcm.1907-m2018-0263 ◽

2021 ◽

Vol 39 (1) ◽

pp. 63-80

Author(s):

Huaijun Yang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Time Dependent ◽

Navier Stokes ◽

Navier Stokes Equations ◽

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Curl-conforming finite element methods for Navier-Stokes equations with non-standard boundary conditions in ℜ3

The Navier-Stokes Equations Theory and Numerical Methods - Lecture Notes in Mathematics ◽

10.1007/bfb0086071 ◽

1990 ◽

pp. 201-218 ◽

Author(s):

V. Girault

Keyword(s):

Finite Element ◽

Boundary Conditions ◽

Finite Element Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Conforming Finite Element

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A new non-overlapping domain decomposition method for stabilized finite element methods applied to the non-stationary Navier-Stokes equations

Numerical Linear Algebra with Applications ◽

10.1002/1099-1506(200009)7:6<449::aid-nla205>3.0.co;2-3 ◽

2000 ◽

Vol 7 (6) ◽

pp. 449-472 ◽

Author(s):

G. Lube ◽

L. M�ller ◽

H. M�ller

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Decomposition Method ◽

Stokes Equations ◽

Domain Decomposition Method ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Overlapping Domain Decomposition ◽

Stationary Navier Stokes Equations

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Parallel iterative stabilized finite element algorithms for the Navier–Stokes equations with nonlinear slip boundary conditions

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4920 ◽

2020 ◽

Author(s):

Kangrui Zhou ◽

Yueqiang Shang

Keyword(s):

Finite Element ◽

Boundary Conditions ◽

Stokes Equations ◽

Navier Stokes ◽

Slip Boundary Conditions ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Slip Boundary ◽

Parallel Iterative ◽

Nonlinear Slip Boundary Conditions

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