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

Journal of the Australian Mathematical Society Series B-Applied Mathematics

Volumn 39, Issue 1, 1997, Pages 121-134

  Shin, Dongho ^a   Strikwerda, John C ^b  

^a Inje University   (South Korea)

^b University of Wisconsin Madison   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646000020     PISSN: 03342700     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0334270000009255     Document Type: Article

References (12)

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3. I. Babuška, "The finite element method with Lagrangian multipliers", Numer. Math. 20 (1973) 179-192.
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6. V. Girault and P. A. Raviart, Finite Element Methods for Navier-Stokes Equations, Springer series in Computational Mathematics, 5 (Springer, New York, 1986).
7. F. H. Harlow and J. E. Welch, "A domain decomposition method for incompressible viscous flow of fluid with free surface", Phys. Fluids 8 (1965) 2182-2189.
8. S. V. Patankar and D. B. Spalding, "A calculation procedure for heat, mass, and momentum in three dimensional parabolic flows", Int. J. Heat Mass Trans. 15 (1972) 1787-1806.
9. G. E. Raithby and G. D. Schneider, "Numerical solution of problems in incompressible fluid flow: Treatment of the velocity-pressure coupling", Num. Heat Trans. 2 (1979) 417-440.
10. D. Shin, Fast solvers for finite difference approximations for the Stokes and Navier-Stokes equations, Ph. D. Dissertation, Unviersity of Wisconsin at Madison (1992).
11. D. H. Shin and J. C. Strikwerda, "Fast solvers for finite difference approximations for the Stokes and Navier-Stokes equations", to appear.
12. D. H. Shin and J. C. Strikwerda, "Convergence estimates for finite difference approximations of the Stokes equations.", J. Aust. Math. Soc. Ser. B 38 (1996) 274-290.