UN CO RR EC TE D PR O O F 1 Domain Decomposition Method for Stokes Problem 2 with Tresca Friction 3 Mohamed
نویسندگان
چکیده
The paper is devoted to domain decomposition methods (DDM in short) for the 18 Stokes problem with the slip boundary conditions. The original domain is cut into 19 two sub-domains and the augmented Lagrangian formulation for separate resulting 20 Poisson problems in both domains is used for computations. To relate solutions of 21 these two sub-problems to the original solution, one has to introduce additional con22 straints “gluing“ them together. The domain decomposition formulation is based on 23 the Uzawa block relaxation method for the augmented Lagrangian involving three 24 supplementary conditions. The paper is concluded by preliminary several numerical 25 examples. 26
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