The penalty method for the Navier-Stokes equations

J. C. Heinrich; C. A. Vionnet

doi:10.1007/bf02904995

The penalty method for the Navier-Stokes equations

Archives of Computational Methods in Engineering ◽

10.1007/bf02904995 ◽

1995 ◽

Vol 2 (2) ◽

pp. 51-65 ◽

Cited By ~ 12

Author(s):

J. C. Heinrich ◽

C. A. Vionnet

Keyword(s):

Penalty Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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On Error Estimates of the Penalty Method for Unsteady Navier–Stokes Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0732016 ◽

1995 ◽

Vol 32 (2) ◽

pp. 386-403 ◽

Cited By ~ 78

Author(s):

Jie Shen

Keyword(s):

Error Estimates ◽

Penalty Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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A Sharp-Interface Active Penalty Method for the Incompressible Navier–Stokes Equations

Journal of Scientific Computing ◽

10.1007/s10915-014-9849-6 ◽

2014 ◽

Vol 62 (1) ◽

pp. 53-77 ◽

Cited By ~ 15

Author(s):

D. Shirokoff ◽

J.-C. Nave

Keyword(s):

Penalty Method ◽

Stokes Equations ◽

Sharp Interface ◽

Navier Stokes ◽

Navier Stokes Equations

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A Stable Penalty Method for the Compressible Navier--Stokes Equations: II. One-Dimensional Domain Decomposition Schemes

SIAM Journal on Scientific Computing ◽

10.1137/s1064827594276540 ◽

1997 ◽

Vol 18 (3) ◽

pp. 658-685 ◽

Cited By ~ 58

Author(s):

J. S. Hesthaven

Keyword(s):

Domain Decomposition ◽

Penalty Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

One Dimensional ◽

Decomposition Schemes ◽

Dimensional Domain

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A Modified Penalty Method for Stokes Equations and Its Applications to Navier–Stokes Equations

SIAM Journal on Scientific Computing ◽

10.1137/0916001 ◽

1995 ◽

Vol 16 (1) ◽

pp. 1-19 ◽

Cited By ~ 8

Author(s):

San-Yih Lin ◽

Yan-Shin Chin ◽

Tsuen-Muh Wu

Keyword(s):

Penalty Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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Iteration penalty method for the incompressible Navier-Stokes equations with variable density based on the artificial compressible method

Advances in Computational Mathematics ◽

10.1007/s10444-020-09757-3 ◽

2020 ◽

Vol 46 (1) ◽

Author(s):

Rong An

Keyword(s):

Penalty Method ◽

Stokes Equations ◽

Variable Density ◽

Navier Stokes ◽

Navier Stokes Equations

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Finite element approximation of Dirichlet control using boundary penalty method for unsteady Navier–Stokes equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2016040 ◽

2017 ◽

Vol 51 (3) ◽

pp. 825-849 ◽

Cited By ~ 4

Author(s):

Sivaguru S. Ravindran

Keyword(s):

Finite Element ◽

Penalty Method ◽

Stokes Equations ◽

Finite Element Approximation ◽

Navier Stokes ◽

Element Approximation ◽

Navier Stokes Equations

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A Stable Penalty Method for the Compressible Navier--Stokes Equations: III. Multidimensional Domain Decomposition Schemes

SIAM Journal on Scientific Computing ◽

10.1137/s1064827596299470 ◽

1998 ◽

Vol 20 (1) ◽

pp. 62-93 ◽

Cited By ~ 69

Author(s):

J. S. Hesthaven

Keyword(s):

Domain Decomposition ◽

Penalty Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Decomposition Schemes ◽

Multidimensional Domain

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Analysis of an iterative penalty method for Navier-Stokes equations with nonlinear slip boundary conditions

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.3742 ◽

2012 ◽

Vol 72 (4) ◽

pp. 403-413 ◽

Cited By ~ 8

Author(s):

Xiaoxia Dai ◽

Peipei Tang ◽

Minghui Wu

Keyword(s):

Boundary Conditions ◽

Penalty Method ◽

Stokes Equations ◽

Navier Stokes ◽

Slip Boundary Conditions ◽

Navier Stokes Equations ◽

Slip Boundary ◽

Nonlinear Slip Boundary Conditions ◽

Iterative Penalty Method

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Weak imposition of boundary conditions for the Navier-Stokes equations by a penalty method

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1950 ◽

2009 ◽

Vol 61 (4) ◽

pp. 411-431 ◽

Cited By ~ 6

Author(s):

Atife Caglar ◽

Anastasios Liakos

Keyword(s):

Boundary Conditions ◽

Penalty Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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An iterative penalty method for the finite element solution of the stationary Navier-Stokes equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(93)90163-r ◽

1993 ◽

Vol 110 (3-4) ◽

pp. 237-262 ◽

Cited By ~ 17

Author(s):

Ramon Codina

Keyword(s):

Finite Element ◽

Penalty Method ◽

Stokes Equations ◽

Finite Element Solution ◽

Navier Stokes ◽

Element Solution ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations ◽

Iterative Penalty Method

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