Inf-sup conditions for finite-difference approximations of the stokes equations

Dongho Shin; John C. Strikwerda

doi:10.1017/s0334270000009255

Inf-sup conditions for finite-difference approximations of the stokes equations

The Journal of the Australian Mathematical Society Series B Applied Mathematics ◽

10.1017/s0334270000009255 ◽

1997 ◽

Vol 39 (1) ◽

pp. 121-134 ◽

Cited By ~ 21

Author(s):

Dongho Shin ◽

John C. Strikwerda

Keyword(s):

Finite Difference ◽

Stokes Equations ◽

Equa Tions ◽

Finite Difference Approximations ◽

Difference Approximations

AbstractInf-sup conditions are proven for three finite-difference approximations of the Stokes equa-tions. The finite-difference approximations use a staggered-mesh scheme and the schemes resulting from the backward and the forward differencings.

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An Iterative Method for Solving Finite Difference Approximations to Stokes Equations.

10.21236/ada127704 ◽

1983 ◽

Author(s):

John C. Strikwerda

Keyword(s):

Finite Difference ◽

Iterative Method ◽

Stokes Equations ◽

Finite Difference Approximations ◽

Difference Approximations

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Newton's method applied to finite-difference approximations for the steady-state compressible Navier-Stokes equations

Journal of Computational Physics ◽

10.1016/0021-9991(91)90075-v ◽

1991 ◽

Vol 93 (1) ◽

pp. 108-127 ◽

Cited By ~ 20

Author(s):

Harry E Bailey ◽

Richard M Beam

Keyword(s):

Steady State ◽

Finite Difference ◽

Newton’S Method ◽

Newton's Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Finite Difference Approximations ◽

Difference Approximations

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Compact explicit finite-difference approximations to the Navier-Stokes equations

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

10.1007/3-540-13917-6_107 ◽

2008 ◽

pp. 23-36 ◽

Cited By ~ 2

Author(s):

S. C. R. Dennis

Keyword(s):

Finite Difference ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Finite Difference Approximations ◽

Difference Approximations ◽

Explicit Finite Difference

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Newton's method applied to finite-difference approximations for the steady-state compressible Navier-Stokes equations

Journal of Computational Physics ◽

10.1016/0021-9991(90)90126-l ◽

1990 ◽

Vol 89 (1) ◽

pp. 251

Author(s):

Harry E Bailey ◽

Richard M Beam

Keyword(s):

Steady State ◽

Finite Difference ◽

Newton’S Method ◽

Newton's Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Finite Difference Approximations ◽

Difference Approximations

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On finite-difference approximations to steady-state solutions of the Navier-Stokes equations

Colloquium Mathematicum ◽

10.4064/cm-19-1-157-169 ◽

1968 ◽

Vol 19 (1) ◽

pp. 157-169 ◽

Cited By ~ 1

Author(s):

A. Krzywicki

Keyword(s):

Steady State ◽

Finite Difference ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Finite Difference Approximations ◽

Difference Approximations ◽

Steady State Solutions

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A Comparison of Finite-Difference Approximations for the Stream Function Formulation of the Incompressible Navier-Stokes Equations

Numerical Treatment of the Navier-Stokes Equations ◽

10.1007/978-3-663-14004-7_10 ◽

1990 ◽

pp. 100-108

Author(s):

E. Rieger ◽

H. Schütz ◽

D. Wolter ◽

F. Thiele

Keyword(s):

Finite Difference ◽

Stream Function ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Finite Difference Approximations ◽

Difference Approximations ◽

Function Formulation ◽

Stream Function Formulation

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An Iterative Method for Solving Finite Difference Approximations to the Stokes Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0721033 ◽

1984 ◽

Vol 21 (3) ◽

pp. 447-458 ◽

Cited By ~ 9

Author(s):

John C. Strikwerda

Keyword(s):

Finite Difference ◽

Iterative Method ◽

Stokes Equations ◽

Finite Difference Approximations ◽

Difference Approximations

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On Consistency of Finite Difference Approximations to the Navier-Stokes Equations

Computer Algebra in Scientific Computing - Lecture Notes in Computer Science ◽

10.1007/978-3-319-02297-0_4 ◽

2013 ◽

pp. 46-60 ◽

Cited By ~ 7

Author(s):

Pierluigi Amodio ◽

Yuri Blinkov ◽

Vladimir Gerdt ◽

Roberto La Scala

Keyword(s):

Finite Difference ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Finite Difference Approximations ◽

Difference Approximations

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Computing Environment Effects on Finite Difference Approximations of Continuous Nonlinear Systems

1993 American Control Conference ◽

10.23919/acc.1993.4793377 ◽

1993 ◽

Author(s):

Slawomir T. Fryska ◽

Mohamed A. Zohdy

Keyword(s):

Nonlinear Systems ◽

Finite Difference ◽

Computing Environment ◽

Finite Difference Approximations ◽

Environment Effects ◽

Difference Approximations

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Stability Analysis of Finite Difference Approximations to Hyperbolic Systems, and Problems in Applied and Computational Matrix Theory

10.21236/ada200755 ◽

1988 ◽

Author(s):

Moshe Goldberg ◽

Marvin Marcus

Keyword(s):

Stability Analysis ◽

Finite Difference ◽

Matrix Theory ◽

Hyperbolic Systems ◽

Finite Difference Approximations ◽

Difference Approximations

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