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定常的Navier-Stokes方程的非线性Galerkin/Petrov最小二乘混合元法

罗振东 朱江 王会军

罗振东, 朱江, 王会军. 定常的Navier-Stokes方程的非线性Galerkin/Petrov最小二乘混合元法[J]. 应用数学和力学, 2002, 23(7): 697-706.
引用本文: 罗振东, 朱江, 王会军. 定常的Navier-Stokes方程的非线性Galerkin/Petrov最小二乘混合元法[J]. 应用数学和力学, 2002, 23(7): 697-706.
LUO Zhen-dong, ZHU Jiang, WANG Hui-jun. A Nonlinear Galerkin/Petrov-Least Squares Mixed Element Method for the Stationary Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2002, 23(7): 697-706.
Citation: LUO Zhen-dong, ZHU Jiang, WANG Hui-jun. A Nonlinear Galerkin/Petrov-Least Squares Mixed Element Method for the Stationary Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2002, 23(7): 697-706.

定常的Navier-Stokes方程的非线性Galerkin/Petrov最小二乘混合元法

基金项目: 国家自然科学基金资助项目(10071052;49776283);北京市教委科技发展计划项目;中国科学院“百人计划”项目;中国科学院九五重点项目(K2952-51-434);北京市优秀人才工程专项经费资助项目;北京市自然科学基金资助项目
详细信息
    作者简介:

    罗振东(1958- ),男,汉族,教授,博士生导师,博士,研究方向:有限元方法及其应用(E-mail:luozhd@mail.cnu.edu.cn).

  • 中图分类号: O241.4

A Nonlinear Galerkin/Petrov-Least Squares Mixed Element Method for the Stationary Navier-Stokes Equations

  • 摘要: 给出定常的Navier-Stokes方程的一种非线性Galerkin/Petrov最小二乘混合元法,该方法是将余量形式的Petrov最小二乘方法与非线性Galerkin混合元结合起来,使得速度和压力的混合元空间无需满足离散的Babu ka-Brezzi稳定性条件,从而使得它们的有限元空间可以任意选择。并证明该方法的解的存在唯一性和收敛性。
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出版历程
  • 收稿日期:  2000-09-08
  • 修回日期:  2002-03-30
  • 刊出日期:  2002-07-15

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