Coupling Of Two Dimensional Viscous And Inviscid Incompressible Stokes Equations

INTRODUCTION A domain decomposition approach usually consists in the decomposition of the possibly complex domain into subdomains of simpler shape. Then the original problem is reduced to a sequence of subproblems for the same partial differential equation which can be solved independently to some extent [7, 10, 11, 14, 16]. Another very interesting area for the application of domain decomposition procedures is the coupling of partial differential equations of different type each used in a suitable subregion of the whole domain. A typical situation is the investigation of an incompressible flow around an obstacle. All the interesting features of the flow occur near the boundary of the obstacle due to the important role of viscosity effects in this area. In the region far away from the obstacle one can neglect viscosity effects. For numerical and theoretical reasons it would be interesting to combine the solution to the Navier-Stokes equations in an inner subregion near the boundary o