A formulation of Stokes’ problem and the linear elasticity equations suggested by the Oldroyd model for viscoelastic flow. (English) Zbl 0738.76002

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.


76A10 Viscoelastic fluids
76D07 Stokes and related (Oseen, etc.) flows
74B05 Classical linear elasticity
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