| 定常的磁流体动力学问题的Galerkin-Petrov最小二乘混合元方法 |
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| 引用本文： | 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[J].应用数学和力学,2007,28(3):359-368. |
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| 作者姓名： | 罗振东 毛允魁 朱江 |
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| 作者单位： | 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 |
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| 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．
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| 关 键 词： | 磁流体力学方程 混合元方法 Galerkin-Petrov最小二乘法 误差估计 |
| 文章编号： | 1000-0887（2007）03-0359-10 |
| 收稿时间： | 2005-03-01 |
| 修稿时间： | 2005-03-01 |
Petrov-Galerkin Least Squares Mixed Element Method for the Stationary Incompressible Magnetohydrodynamics |
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| LUO Zhen-dong,MAO Yun-kui,ZHU Jiang.Petrov-Galerkin Least Squares Mixed Element Method for the Stationary Incompressible Magnetohydrodynamics[J].Applied Mathematics and Mechanics,2007,28(3):359-368. |
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| Authors: | LUO Zhen-dong MAO Yun-kui ZHU Jiang |
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| Institution: | School of Science, Beijing Jiaotong University, Beijing 100044, P. R. China; |
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| Abstract: | A Galerkin-Petrov least squares mixed finite element method for the stationary magnetohydrodynamics 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. |
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| Keywords: | equation of magnetohydrodynamics mixed element method Galerkin-Petrov-least squares method error estimate |
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