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

A Multigrid Solver based on Distributive Smoother and Residual Overweighting for Oseen Problems

Long Chen, Xiaozhe Hu, Ming Wang, Jinchao Xu

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14 Scopus citations

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.

Original language	English (US)
Pages (from-to)	237-252
Number of pages	16
Journal	Numerical Mathematics
Volume	8
Issue number	2
DOIs	https://doi.org/10.4208/nmtma.2015.w09si
State	Published - Jan 1 2015
Externally published	Yes

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title = "A Multigrid Solver based on Distributive Smoother and Residual Overweighting for Oseen Problems",

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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AU - Chen, Long

AU - Hu, Xiaozhe

AU - Wang, Ming

AU - Xu, Jinchao

N1 - Generated from Scopus record by KAUST IRTS on 2023-02-15

PY - 2015/1/1

Y1 - 2015/1/1

N2 - 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.

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.

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JO - Numerical Mathematics

JF - Numerical Mathematics

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ER -

A Multigrid Solver based on Distributive Smoother and Residual Overweighting for Oseen Problems

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