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A preconditioned generalized minimal residual algorithm for the numerical solution of viscoelastic fluid flows. (English) Zbl 0708.76012

Summary: The numerical simulation of the flow of a viscoelastic fluid by a generalized minimal residual (GMRES) method is investigated and tested to determine its convergence properties. A method based on the Lesaint- Raviart technique is used as a preconditioner for the GMRES method to enhance the convergence rate and robustness of the algorithm. Numerical results are presented for the stick-slip problem.

MSC:

76A10 Viscoelastic fluids
76M25 Other numerical methods (fluid mechanics) (MSC2010)
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