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定常Navier-Stokes方程流函数形式两重网格算法的残量型后验误差估计

任春风 马逸尘

任春风, 马逸尘. 定常Navier-Stokes方程流函数形式两重网格算法的残量型后验误差估计[J]. 应用数学和力学, 2004, 25(5): 497-510.
引用本文: 任春风, 马逸尘. 定常Navier-Stokes方程流函数形式两重网格算法的残量型后验误差估计[J]. 应用数学和力学, 2004, 25(5): 497-510.
REN Chun-feng, MA Yi-chen. Residual a Posteriori Error Estimate Two-Grid Methods for the Steady Navier-Stokes Equation With Stream Function Form[J]. Applied Mathematics and Mechanics, 2004, 25(5): 497-510.
Citation: REN Chun-feng, MA Yi-chen. Residual a Posteriori Error Estimate Two-Grid Methods for the Steady Navier-Stokes Equation With Stream Function Form[J]. Applied Mathematics and Mechanics, 2004, 25(5): 497-510.

定常Navier-Stokes方程流函数形式两重网格算法的残量型后验误差估计

基金项目: 国家自然科学基金资助项目(50136030;10371096)
详细信息
    作者简介:

    任春风(1972- ),女,河南人,讲师,博士(E-mail:chfenren@yahoo.com.cn);马逸尘,教授(联系人.Tel:+86-29-82660051,Fax:+86-29-82668559;E-mail:ycma@mail.xjtu.edu.cn).

  • 中图分类号: O357.1;O241.85

Residual a Posteriori Error Estimate Two-Grid Methods for the Steady Navier-Stokes Equation With Stream Function Form

  • 摘要: 运用七种两重网格协调元方法得出了不可压Navier-Stokes方程流函数形式的残量型后验误差估计.对比标准有限元方法的后验误差估计,两重网格算法的后验误差估计多了一些额外项(三线性项).说明了这些额外项在误差估计中对研究离散解渐近性的重要性,推出了对于最优网格尺寸,这些额外项的收敛阶不高于标准离散解的收敛阶.
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出版历程
  • 收稿日期:  2002-06-03
  • 修回日期:  2003-12-03
  • 刊出日期:  2004-05-15

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