定常的Navier-Stokes方程的非线性Galerkin混合元法及其后验估计

罗振东; 朱江

定常的Navier-Stokes方程的非线性Galerkin混合元法及其后验估计

罗振东^1,2,
朱江²

1.
首都师范大学数学系, 北京 100037;
2.
中国科学院大气物理研究所国际气候与环境科学研究中心, 北京 100029

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,教授,博士,博士生导师,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
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- 被引次数: 0
出版历程
- 收稿日期: 2000-08-30
- 修回日期: 2002-04-01
- 刊出日期: 2002-10-15

A Nonlinear Galerkin Mixed Element Method and a Posteriori Error Estimator for the Stationary Navier-Stokes Equations

LUO Zhen-dong^1,2,
ZHU Jiang²

1.
Department of Mathematics, Capital Normal University, Beijing 100037, P R China;
2.
ICCES, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, P R China

摘要

摘要: 提出了定常的Navier-Stokes方程的一种非线性Galerkin混合元法,并导出非线性Galerkin混合元解的存在性和误差估计及其后验误差估计.
- Navier-Stokes方程 /
- 非线性Galerkin混合元法 /
- 误差估计 /
- 后验误差估计
Abstract: A nonlinear Galerkin mixed element(NGME) method and a posteriori error estimator based on the method are established for the stationary Navier-Stokes equations. The esistence and error estimates of the NGME solution are first discussed,and then a posteriori error estimator based on the NGME method is derived.
- Navier-Stokes equation /
- nonlinear Galerkin mixed element method /
- error estimate /
- posteriori error estimator

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参考文献(33)

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