A new non-overlapping domain decomposition method for stabilized finite element methods applied to the non-stationary Navier-Stokes equations

Abstract

We analyse a non-overlapping domain decomposition algorithm of Robin-Robin type applied to the discretized Oseen equations using stabilized finite element approximations of velocity/pressure thus allowing in particular equal-order interpolation. The new type of interface conditions takes advantage of the pressure regularization contained in the stabilized discrete problem. Finally we apply the method to the parallel solution of the non-stationary, incompressible Navier-Stokes equations. Some numerical results for standard benchmark problems are presented. Copyright © 2000 John Wiley & Sons, Ltd.