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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.

MSC:
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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