[1]陈浦胤,黄建国.求解稳态N-S方程的Uzawa算法的几何收敛性[J].南京师大学报(自然科学版),2014,37(02):15.
　Chen Puyin,Huang Jianguo.On the Geometric Convergence of the Uzawa Algorithm for Steady Incompressible NavierStokes Equations[J].Journal of Nanjing Normal University(Natural Science Edition),2014,37(02):15.
点击复制

求解稳态N-S方程的Uzawa算法的几何收敛性()
分享到：

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第37卷
期数:
2014年02期
页码:
15
栏目:
数学
出版日期:
2014-06-30

文章信息/Info

Title:
On the Geometric Convergence of the Uzawa Algorithm for Steady Incompressible NavierStokes Equations
作者:
陈浦胤; 黄建国
上海交通大学数学系,上海 200240
Author(s):
Chen Puyin; Huang Jianguo
Department of Mathematics,Shanghai Jiao Tong University,Shanghai 200240,China
关键词:
Navier-Stokes方程; Uzawa算法; 收敛率分析
Keywords:
NavierStokes equations; Uzawa method; cnvergence rate analysis
分类号:
O24
文献标志码:
A
摘要:
Temam提出求解稳态NavierStokes方程的Uzawa算法并且证明了算法的收敛性.然而,至今没有算法的收敛率分析.本文证明该算法是以几何级数收敛的.
Abstract:
Temam proposed an Uzawa algorithm for solving steady incompressible NavierStokes equations and proved its convergence.However,the convergence rate analysis remains open until now.We prove in this paper that this method converges geometrically.

参考文献/References:

[1]Adams R A.Sobolev Spaces[M].New York:Academic Press,1975.
[2]Temam R.NavierStokes Equations[M].North Holland:Amsterdam,1984.
[3]Girault V,Raviart P A.Finite Element Approximations of the NavierStokes Equations[M].New York:Springer,1986.
[4]Quarteroni A,Valli A.Numerical Approximation of Partial Differential Equations[M].Berlin:Springer,1994.
[5]Nochetto R H,Pyo J H.Optimal relaxation parameter for the Uzawa method[J].Numer Math,2004,98:695-702.

相似文献/References:

[1]杜彬彬,黄建国.求解不可压Navier-Stokes方程的一种高效两水平方法[J].南京师大学报(自然科学版),2019,42(03):157.[doi:10.3969/j.issn.1001-4616.2019.03.021]
　Du Binbin,Huang Jianguo.An Efficient Two-Level Method for SolvingIncompressible Navier-Stokes Equations[J].Journal of Nanjing Normal University(Natural Science Edition),2019,42(02):157.[doi:10.3969/j.issn.1001-4616.2019.03.021]

备注/Memo

备注/Memo:
收稿日期:2014-01-16.
基金项目:国家自然科学基金(11171219)、上海市教育委员会E-研究院建设计划(E03004).
通讯联系人:黄建国,教授,博士生导师,研究方向:科学计算.E-mail:jghuang@sjtu.edu.cn
更新日期/Last Update: 2014-06-30