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| 定常的磁流体力学方程的非线性Galerkin-Petrov最小二乘混合元法 | |
| 引用本文： | 陈静,罗振东,孙萍. 定常的磁流体力学方程的非线性Galerkin-Petrov最小二乘混合元法[J]. 计算数学, 2007, 29(4): 421-432 |
| 作者姓名： | 陈静 罗振东 孙萍 |
| 作者单位： | 中国农业大学理学院,北京,100083;贵州师范大学数学与计算机科学学院,贵阳,550001 |
| 基金项目： | 国家自然科学基金(批准号：10471100和40437017)，北京市自然科学基金助项目． |
| 摘 要： | 本文提出了磁流体力学方程的一种非线性Galerkin-Petrov最小二乘混合元法,并导出了该方法解的存在性和误差估计. |
| 关 键 词： | 磁流体力学方程 混合元方法 非线性Galerkin-Petrov最小二乘法 误差估计 |
| 修稿时间： | 2006-09-05 |
A NONLINEAR GALERKIN-PETROV LEAST SQUARES MIXED ELEMENT METHOD FOR THE STATIONARY INCOMPRESSIBLE MAGNETOHYDRODYNAMICS |
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| Chen Jing,Luo Zhendong,Sun Ping. A NONLINEAR GALERKIN-PETROV LEAST SQUARES MIXED ELEMENT METHOD FOR THE STATIONARY INCOMPRESSIBLE MAGNETOHYDRODYNAMICS[J]. Mathematica Numerica Sinica, 2007, 29(4): 421-432 | |
| Authors: | Chen Jing Luo Zhendong Sun Ping |
| Affiliation: | 1.College of Science, China Agricultural University, Beijing 100083, China;2.School of Mathematics and Computer Science, Guizhou Normal University, Guiyang, 550001, China |
| Abstract: | In this paper,a nonlinear Galerkin-Petrov least squares mixed element method for the stationary incompressible magnetohydrodynamics equations is presented.And the existence and error estimates of its solution are derived. |
| Keywords: | equation of magnetohydrodynamics mixed element method nonlinear Galerkin-Petrov least squares method error estimate |
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