TY - JOUR T1 - A Multigrid Solver Based on Distributive Smoother and Residual Overweighting for Oseen Problems AU - Long Chen, Xiaozhe Hu, Ming Wang & Jinchao Xu JO - Numerical Mathematics: Theory, Methods and Applications VL - 2 SP - 237 EP - 252 PY - 2015 DA - 2015/08 SN - 8 DO - http://doi.org/10.4208/nmtma.2015.w09si UR - https://global-sci.org/intro/article_detail/nmtma/12409.html KW - AB -

An efficient multigrid solver for the Oseen problems discretized by Marker and Cell (MAC) scheme on staggered grid is developed in this paper. Least squares commutator distributive Gauss-Seidel (LSC-DGS) relaxation is generalized and developed for Oseen problems. Residual overweighting technique is applied to further improve the performance of the solver and a defect correction method is suggested to improve the accuracy of the discretization. Some numerical results are presented to demonstrate the efficiency and robustness of the proposed solver.