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Yayın A new coupling method for the stokes-darcy model(Maltepe Üniversitesi, 2019) Ziti, C.; Malek, R.Inspired by the Galerkin and the particule method, a new approximation approach is recalled in this paper. We are interested specially to apply this method on the coupled Stokes-Darcy problem, with Beaver-Joseph and Saffman interface condition. Before studying the coupled problem, we present our new scheme for the Stokes problem lid a driven cavity, and after, we explicit our approach for the Stokes-Darcy model. In this work, we reduce the number of iterations in a very fast way.Theoretical analysis and numerical experiments shows the efficiency of our scheme.