164 1995 Lina Hemmingsson lina@tdb.uu.se A Domain Decomposition Method for Almost Incompressible Flow Abstract A domain decomposition method for solving the Navier-Stokes equations for almost incompressible flow is examined. Due to a non-uniform decomposition of the domain, we have fast solvers in all subdomains. Hence each iteration on the Schur-complement system can be performed very efficiently. We have shown theoretically that the method requires much less memory positions and arithmetic operations than a direct method. Numerical experiments show that the iteration on the Schur-complement system converges very fast. We also show that the grid-quotient in the space-grid might be crucial for the performance of the method. Moreover, we show that for a given discretization of the problem, the rate of efficiency is larger than 100$\%$ for the problem studied here, due to the very nice parallelization properties of the algorithm.