Finite element analysis of a simplified stochastic Hookean dumbbells model arising from viscoelastic flows
Andrea Bonito, Philippe Clément, Marco Picasso (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
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A simplified stochastic Hookean dumbbells model arising from viscoelastic flows is considered, the convective terms being disregarded. A finite element discretization in space is proposed. Existence of the numerical solution is proved for small data, so as error estimates, using an implicit function theorem and regularity results obtained in [Bonito (2006) 381–398] for the solution of the continuous problem. error estimates are also derived. Numerical results with...