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

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

西安交通大学理学院,西安 710049

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
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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

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

College of Science, Xi'an Jiaotong Univeristy, Xi'an 710049, P. R. China

摘要

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．
- 两重网格方法 /
- Navier-Stokes方程 /
- 残量型后验误差估计 /
- 有限元方法 /
- 流函数形式
Abstract: Residual based on a posteriori error estimates for conforming finite element solutions of incompressible Navier-Stokes equations with stream function form which were computed with seven recently proposed two-level method were derived. The a posteriori error estimates contained additional terms in comparison to the error estimates for the solution obtained by the standard finite element method. The importance of these additional terms in the error estimates was investigated by studying their asymptotic behavior. For optimal scaled meshes, these bounds are not of higher order than of convergence of discrete solution.
- two-level method /
- Navier-Stokes equation /
- residual a posteriori error estimate /
- finite element method /
- stream function form

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参考文献(14)

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文章访问数: 3336
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PDF下载量: 625
被引次数: 0

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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

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).

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

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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

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).

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出版历程

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

计量

出版历程

目录

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).