A preconditioned generalized minimal residual algorithm for the numerical solution of viscoelastic fluid flows

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.