Finite element approximation of finitely extensible nonlinear elastic dumbbell models for dilute polymers
John W. Barrett, Endre Süli (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
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We construct a Galerkin finite element method for the numerical approximation of weak solutions to a general class of coupled FENE-type finitely extensible nonlinear elastic dumbbell models that arise from the kinetic theory of dilute solutions of polymeric liquids with noninteracting polymer chains. The class of models involves the unsteady incompressible Navier–Stokes equations in a bounded domain ⊂ ℝ, = 2 or 3, for ...