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Volume 24, Issue 3
Local and Parallel Finite Element Algorithms for the Navier-Stokes Problem

Yinnian He, Jinchao Xu & Aihui Zhou

J. Comp. Math., 24 (2006), pp. 227-238.

Published online: 2006-06

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  • Abstract

Based on two-grid discretizations, in this paper, some new local and parallel finite element algorithms are proposed and analyzed for the stationary incompressible Navier-Stokes problem. These algorithms are motivated by the observation that for a solution to the Navier-Stokes problem, low frequency components can be approximated well by a relatively coarse grid and high frequency components can be computed on a fine grid by some local and parallel procedure. One major technical tool for the analysis is some local a priori error estimates that are also obtained in this paper for the finite element solutions on general shape-regular grids.  

  • Keywords

Navier-Stokes problem, Finite element, Two-grid method, Local and parallel algorithm.

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COPYRIGHT: © Global Science Press

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@Article{JCM-24-227, author = {Yinnian He, Jinchao Xu and Aihui Zhou}, title = {Local and Parallel Finite Element Algorithms for the Navier-Stokes Problem}, journal = {Journal of Computational Mathematics}, year = {2006}, volume = {24}, number = {3}, pages = {227--238}, abstract = {

Based on two-grid discretizations, in this paper, some new local and parallel finite element algorithms are proposed and analyzed for the stationary incompressible Navier-Stokes problem. These algorithms are motivated by the observation that for a solution to the Navier-Stokes problem, low frequency components can be approximated well by a relatively coarse grid and high frequency components can be computed on a fine grid by some local and parallel procedure. One major technical tool for the analysis is some local a priori error estimates that are also obtained in this paper for the finite element solutions on general shape-regular grids.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8748.html} }
TY - JOUR T1 - Local and Parallel Finite Element Algorithms for the Navier-Stokes Problem AU - Yinnian He, Jinchao Xu & Aihui Zhou JO - Journal of Computational Mathematics VL - 3 SP - 227 EP - 238 PY - 2006 DA - 2006/06 SN - 24 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8748.html KW - Navier-Stokes problem, Finite element, Two-grid method, Local and parallel algorithm. AB -

Based on two-grid discretizations, in this paper, some new local and parallel finite element algorithms are proposed and analyzed for the stationary incompressible Navier-Stokes problem. These algorithms are motivated by the observation that for a solution to the Navier-Stokes problem, low frequency components can be approximated well by a relatively coarse grid and high frequency components can be computed on a fine grid by some local and parallel procedure. One major technical tool for the analysis is some local a priori error estimates that are also obtained in this paper for the finite element solutions on general shape-regular grids.  

Yinnian He, Jinchao Xu and Aihui Zhou. (2006). Local and Parallel Finite Element Algorithms for the Navier-Stokes Problem. Journal of Computational Mathematics. 24 (3). 227-238. doi:
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