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Zbl 0738.76002
Baranger, J.; Sandri, D.
A formulation of Stokes' problem and the linear elasticity equations suggested by the Oldroyd model for viscoelastic flow. (English)
[J] RAIRO, Modélisation Math. Anal. Numér. 26, No.2, 331-345 (1992). ISSN 0764-583X

Summary: We propose a three fields formulation of Stokes's problem and the equations of linear elasticity, allowing confirming finite element approximation and using only the classical inf-sup condition relating velocity and pressure. No condition of this type is needed on the ``non Newtonian'' extra stress tensor. For the linear elasticity equations this method gives uniform results with respect to the compressibility.

MSC 2000:: *76A10 Viscoelastic fluids
76D07 Stokes flows
74B05 Classical linear elasticity

Keywords: three fields formulation; Stokes's problem; linear elasticity; finite element approximation; viscoelastic fluids

Cited in: Zbl 0858.73076

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