A domain decomposition method for the Oseen-viscoelastic flow equations

We study a non-overlapping domain decomposition method for the Oseen-viscoelastic flow problem. The data on the interface are transported through Newmann and Dirichlet boundary conditions for the momentum and constitutive equations, respectively. The discrete variational formulations of subproblems are presented and investigated for the existence of solutions. We show convergence of the domain decomposition solution to a solution of the one-domain problem. Convergence of an iterative algorithm and some numerical results are also presented.