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Volume 8, Issue 2
A Multigrid Solver Based on Distributive Smoother and Residual Overweighting for Oseen Problems

Long Chen, Xiaozhe Hu, Ming Wang & Jinchao Xu

DOI: 10.4208/nmtma.2015.w09si

Numer. Math. Theor. Meth. Appl., 8 (2015), pp. 237-252.

Published online: 2015-08

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  • Abstract

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.

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@Article{NMTMA-8-237, author = {Long Chen, Xiaozhe Hu, Ming Wang and Jinchao Xu}, title = {A Multigrid Solver Based on Distributive Smoother and Residual Overweighting for Oseen Problems}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2015}, volume = {8}, number = {2}, pages = {237--252}, abstract = {

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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2015.w09si}, url = {http://global-sci.org/intro/article_detail/nmtma/12409.html} }
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.

Long Chen, Xiaozhe Hu, Ming Wang and Jinchao Xu. (2015). A Multigrid Solver Based on Distributive Smoother and Residual Overweighting for Oseen Problems. Numerical Mathematics: Theory, Methods and Applications. 8 (2). 237-252. doi:10.4208/nmtma.2015.w09si
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