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.


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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