Spectral Discretizations of the Stokes Equations with Non Standard Boundary Conditions

被引：0

作者：

J. M. Bernard

机构：

[1] IUT d'Evry Val d'Essonne,

来源：

Journal of Scientific Computing | 2004年 / 20卷

关键词：

spectral methods; Stokes equations; boundary conditions;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper is devoted to the approximation of a non standard Stokes problem by spectral methods: in addition to the pressure assigned on a part of the boundary, the tangential vorticity is given on another part of the boundary. Several spectral discretizations are proposed and analysed. The inf-sup conditions, associated with the discretizations of this problem and with the spurious modes that follow from them, are thoroughly studied.

引用

页码：355 / 377

页数：22

共 17 条

[1] Bègue C.(1987)A nouveau sur les équations de Stokes et de Navier–Stokes avec des conditions aux limites sur la pression C. R. Acad. Sci. Série I 304 23-28
[2] Conca C.(2002)Non standard Stokes and Navier–Stokes problems: Existence and regularity in stationary case Math. Meth. in Appl. Sciences 25 627-661
[3] Murat F.(1991)Spectral approximations of the Stokes equations with boundary conditions on the pressure SIAM J. Numer. Anal. 28 333-362
[4] Pironneau O.(1990)Single-grid spectral collocation for the Navier–Stokes equations IMA J. Numer. Anal. 10 253-297
[5] Bernard J. M.(1995)Navier–Stokes equations with imposed pressure and velocity fluxes Internat. J. Numer. Methods Fluids 20 267-287
[6] Bernardi C.(1991)Résultats d'approximation optimaux pour les opérateurs d'interpolation polynomiale C. R. Acad. Sci. Série I 312 705-710
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