A NON-OVERLAPPING DOMAIN DECOMPOSITION METHOD AND ITS CONVERGENCE FOR THE STOKES PROBLEM ON UNBOUNDED DOMAINS
无界区域Stokes 问题非重叠型区域分解算法及其收敛性

In this paper, a non-overlapping domain decomposition method by using of the FEM and the natural boundary reduction is investigated for solving the exterior boundary value problems of the Stokes equation. This method is very effective for the Stokes problem over unbounded domains especially. The D-N alternating algorithm (including continuous and discrete form) and its convergence analysis are presented, also the necessary and sufficient condition for convergence of this method is gained, then the optimal relaxation factor is obtained, finally some numerical results are illustrated.