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解Stokes特征值问题的一种两水平稳定化有限元方法

黄鹏展 何银年 冯新龙

黄鹏展, 何银年, 冯新龙. 解Stokes特征值问题的一种两水平稳定化有限元方法[J]. 应用数学和力学, 2012, 33(5): 588-597. doi: 10.3879/j.issn.1000-0887.2012.05.007
引用本文: 黄鹏展, 何银年, 冯新龙. 解Stokes特征值问题的一种两水平稳定化有限元方法[J]. 应用数学和力学, 2012, 33(5): 588-597. doi: 10.3879/j.issn.1000-0887.2012.05.007
HUANG Peng-zhan, HE Yin-nian, FENG Xin-long. A Two-Level Stabilized Finite Element Method for the Stokes Eigenvalue Problem[J]. Applied Mathematics and Mechanics, 2012, 33(5): 588-597. doi: 10.3879/j.issn.1000-0887.2012.05.007
Citation: HUANG Peng-zhan, HE Yin-nian, FENG Xin-long. A Two-Level Stabilized Finite Element Method for the Stokes Eigenvalue Problem[J]. Applied Mathematics and Mechanics, 2012, 33(5): 588-597. doi: 10.3879/j.issn.1000-0887.2012.05.007

解Stokes特征值问题的一种两水平稳定化有限元方法

doi: 10.3879/j.issn.1000-0887.2012.05.007
基金项目: 国家自然科学基金资助项目(10901131;10971166;10961024);国家863基金资助项目(2009AA01A135);新疆自然科学基金资助项目(2010211B04)
详细信息
    通讯作者:

    黄鹏展(1983—),男,浙江人,博士生(E-mail:hpzh007@yahoo.cn);何银年(1953—),男,陕西人,教授,博士(联系人. Tel: +86-29-82665242; E-mail: heyn@mail.xjtu.edu.cn);冯新龙(1976—),男,江苏人,教授,博士(E-mail: fxlmath@yahoo.cn).

  • 中图分类号: O242.21; O241.82; O351.3

A Two-Level Stabilized Finite Element Method for the Stokes Eigenvalue Problem

  • 摘要: 基于局部Gauss积分,研究了解Stokes特征值问题的一种两水平稳定化有限元方法.该方法涉及在网格步长为H的粗网格上解一个Stokes特征值问题,在网格步长为h=O(H2)的细网格上解一个Stokes问题.这样使其能够仍旧保持最优的逼近精度,求得的解和一般的稳定化有限元解具有相同的收敛阶,即直接在网格步长为h的细网格上解一个Stokes特征值问题.因此,该方法能够节省大量的计算时间.数值试验验证了理论结果.
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出版历程
  • 收稿日期:  2011-05-04
  • 修回日期:  2012-02-10
  • 刊出日期:  2012-05-15

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