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A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces. (English) Zbl 0635.76067

[For part VI see the review above (Zbl 0635.76066).]

Symmetric finite element formulations are proposed for the primitive- variables form of the Stokes equations and shown to be convergent for any combination of pressure and velocity interpolations. Various boundary conditions, such as pressure, are accomodated.


MSC:
76N10Compressible fluids, general
80A20Heat and mass transfer, heat flow
65Z05Applications of numerical analysis to physics