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A finite element procedure for viscoelastic flows. (English) Zbl 0634.76007
A finite element method for the simulation of viscoelastic flows has been developed. It uses a weak formulation of the method of characteristics to treat the viscoelastic constitutive law. Numerical results in a 4:1 contraction are presented and are discussed with respect to previous computations. New phenomena are put in evidence and new questions are opened in this already controversial problem.

76A10 Viscoelastic fluids
35L65 Hyperbolic conservation laws
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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