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INF-SUP CONDITIONS FOR FINITE-DIFFERENCE APPROXIMATIONS OF THE STOKES EQUATIONS
SHIN, DONGHO,STRIKWERDA, JOHN C. 경북대학교 위상수학 기하학연구센터 1999 硏究論文集 Vol.8 No.-
Inf-sup conditions are proven for three finite-difference approximations of the Stokes equations. The finite-difference approximations use a staggered-mesh scheme and the schemes resulting from the backward and the forward differencings.
FAST SOLVERS FOR FINITE DIFFERENCE APPROXIMATIONS FOR THE STOKES AND NAVIER-STOKES EQUATIONS
SHIN, DONGHO,STRIKWERDA, JOHN C. 경북대학교 위상수학 기하학연구센터 1999 硏究論文集 Vol.8 No.-
We consider several methods for solving the linear equations arising from finite difference discretizations of the Stokes equations. The two best methods, one presented here for the first time, apparently, and a second, presented by Bramble and Pasciak, are shown to have computational effort that grows slowly with the number of grid points. The methods work with second-order accurate discretizations. Computational results are shown for both the Stokes equations and incompressible Navier-Stokes equations at low Reynolds number.