定常的磁流体动力学问题的Galerkin-Petrov最小二乘混合元方法

罗振东; 毛允魁; 朱江

定常的磁流体动力学问题的Galerkin-Petrov最小二乘混合元方法

1.
北京交通大学理学院,北京 100044;2.中国科学院大气物理研究所,北京 100029

基金项目: 国家自然科学基金资助项目(10471100;40437017)

详细信息

作者简介:
罗振东(1958- ),男,广西桂平人,教授,博士生导师(联系人.Tel:+86-10-51684751;Fax:+86-10-68902789;E-mail:zhdluo@bjtu.edu.cn).

中图分类号: O241.4
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- 文章访问数: 2980
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出版历程
- 收稿日期: 2005-03-01
- 修回日期: 2007-01-16
- 刊出日期: 2007-03-15

Petrov-Galerkin Least Squares Mixed Element Method for the Stationary Incompressible Magnetohydrodynamics

1.
School of Science, Beijing Jiaotong University, Beijing 100044, P. R. China;

摘要

摘要: 提出了定常的磁流体动力学方程的一种Galerkin-Petrov最小二乘混合元法，并导出Galerkin-Petrov最小二乘混合元解的存在性和误差估计．通过引入Galerkin-Petrov最小二乘混合有限元方法使得该方法的混合元空间之间的组合无需满足离散的Babuska-Brezzi稳定性条件，从而使得它们的混合有限元空间可以任意选取，并得到误差估计最优阶．
- 磁流体力学方程 /
- 混合元方法 /
- Galerkin-Petrov最小二乘法 /
- 误差估计
Abstract: A Galerkin-Petrov least squares mixed finite element method for the stationary magnetohy-drodynamics problems was introduced and the existence and error estimates of the Galerkin-Petrov least squares mixed finite element solution were derived.The combination among mixed finite element spaces of this method dose not demand the discrete Babuska-Brezzi stability conditions so that the mixed finite element spaces could be arbitrarily chosen and the error estimates with optimal order could be obtained.
- equation of magnetohydrodynamics /
- mixed element method /
- Galerkin-Petrov-least squares method /
- error estimate

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参考文献(15)

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[2]	Gunzburger M D, Meir A J, Peterson J S.On the existence, uniqueness, and finite element approximation of solution of the equation of stationary, incompressible magnetohydrodynamics[J].Mathematics of Computation,1991,56(194):523-563. doi: 10.1090/S0025-5718-1991-1066834-0
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定常的磁流体动力学问题的Galerkin-Petrov最小二乘混合元方法

作者简介:
罗振东(1958- ),男,广西桂平人,教授,博士生导师(联系人.Tel:+86-10-51684751;Fax:+86-10-68902789;E-mail:zhdluo@bjtu.edu.cn).

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Petrov-Galerkin Least Squares Mixed Element Method for the Stationary Incompressible Magnetohydrodynamics

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留言板

定常的磁流体动力学问题的Galerkin-Petrov最小二乘混合元方法

作者简介: 罗振东(1958- ),男,广西桂平人,教授,博士生导师(联系人.Tel:+86-10-51684751;Fax:+86-10-68902789;E-mail:zhdluo@bjtu.edu.cn).

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出版历程

Petrov-Galerkin Least Squares Mixed Element Method for the Stationary Incompressible Magnetohydrodynamics

计量

出版历程

目录

作者简介:
罗振东(1958- ),男,广西桂平人,教授,博士生导师(联系人.Tel:+86-10-51684751;Fax:+86-10-68902789;E-mail:zhdluo@bjtu.edu.cn).