Numerical Analysis of Penalty Stabilized Finite Element Discretizations of Evolution Navier–Stokes Equations

Journal of Scientific Computing ◽

10.1007/s10915-014-9918-x ◽

2014 ◽

Vol 63 (3) ◽

pp. 885-912 ◽

Author(s):

T. Chacón Rebollo ◽

M. Gómez Mármol ◽

M. Restelli

Keyword(s):

Finite Element ◽

Numerical Analysis ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Finite Element Discretizations ◽

Element Discretizations

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Algebraic multigrid for stabilized finite element discretizations of the Navier–Stokes equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2004.01.025 ◽

2004 ◽

Vol 193 (33-35) ◽

pp. 3667-3686 ◽

Author(s):

T Okusanya ◽

D.L Darmofal ◽

J Peraire

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Algebraic Multigrid ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Finite Element Discretizations ◽

Element Discretizations

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Iterative methods in penalty finite element discretizations for the Steady Navier-Stokes equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21795 ◽

2013 ◽

Vol 30 (1) ◽

pp. 74-94 ◽

Author(s):

Pengzhan Huang

Keyword(s):

Finite Element ◽

Iterative Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Finite Element Discretizations ◽

Element Discretizations

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Aspects of Finite Element Discretizations for Solving the Boussinesq Approximation of the Navier-Stokes Equations

Numerical methods for the Navier-Stokes equations ◽

10.1007/978-3-663-14007-8_6 ◽

1994 ◽

pp. 50-61 ◽

Author(s):

O. Dorok ◽

W. Grambow ◽

L. Tobiska

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Boussinesq Approximation ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Finite Element Discretizations ◽

Element Discretizations

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The dual variable method for finite element discretizations of Navier/Stokes equations

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620210508 ◽

1985 ◽

Vol 21 (5) ◽

pp. 883-898 ◽

Author(s):

C. A. Hall ◽

J. S. Peterson ◽

T. A. Porsching ◽

F. R. Sledge

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Variable Method ◽

Navier Stokes ◽

Dual Variable ◽

Navier Stokes Equations ◽

Finite Element Discretizations ◽

Element Discretizations

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Reduced Finite Element Discretizations of the Stokes and Navier-Stokes Equations

Numerical Functional Analysis and Optimization ◽

10.1080/01630560600569999 ◽

2006 ◽

Vol 27 (2) ◽

pp. 161-187 ◽

Author(s):

Petr Knobloch

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Finite Element Discretizations ◽

Element Discretizations

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Edge-based data structures for a symmetric stabilized finite element method for the incompressible Navier–Stokes equations with heat transfer

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1372 ◽

2007 ◽

Vol 53 (9) ◽

pp. 1473-1494 ◽

Author(s):

R. A. Kraft ◽

A. L. G. A. Coutinho ◽

P. A. B. de Sampaio

Keyword(s):

Heat Transfer ◽

Finite Element Method ◽

Finite Element ◽

Data Structures ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Stabilized Finite Element Method ◽

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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 ◽

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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A New Stabilized Finite Element Method for Solving Transient Navier-Stokes Equations with High Reynolds Number

Journal of Computational Mathematics ◽

10.4208/jcm.1810-m2018-0096 ◽

2020 ◽

Vol 38 (3) ◽

pp. 395-416

Author(s):

Chunmei Xie & Minfu Feng

Keyword(s):

Finite Element Method ◽

Reynolds Number ◽

Finite Element ◽

High Reynolds Number ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stabilized Finite Element ◽

Stabilized Finite Element Method ◽

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Implementation of a stabilized finite element formulation for the incompressible Navier-Stokes equations based on a pressure gradient projection

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.182 ◽

2001 ◽

Vol 37 (4) ◽

pp. 419-444 ◽

Author(s):

Ramon Codina ◽

Jordi Blasco ◽

Gustavo C. Buscaglia ◽

Antonio Huerta

Keyword(s):

Finite Element ◽

Pressure Gradient ◽

Stokes Equations ◽

Gradient Projection ◽

Finite Element Formulation ◽

Navier Stokes ◽

Element Formulation ◽

Navier Stokes Equations ◽

Stabilized Finite Element

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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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