## 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:

 76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics 80A20 Heat and mass transfer, heat flow (MSC2010) 65Z05 Applications to the sciences
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### References:

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