| 非定常的热传导-对流问题的Petrov最小二乘混合有限元法及其误差估计 |
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| 引用本文： | 孙萍,罗振东,陈静. 非定常的热传导-对流问题的Petrov最小二乘混合有限元法及其误差估计[J]. 计算数学, 2009, 31(1): 87-98 |
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| 作者姓名： | 孙萍 罗振东 陈静 |
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| 作者单位： | 1. 贵州师范大学数学与计算机科学学院,贵阳,550001
2. 中国农业大学理学院,北京,100083 |
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| 摘 要： | 文提出了非定常的热传导-对流方程的一种Petrov最小二乘混合有限元法.Petrov最小二乘混合有限元法可以回避Babuska-Brezzi条件的约束,使得有限元空间可以自由地选择并获得最优阶的误差估计.
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| 关 键 词： | Petrov最小二乘方法 混合元法 非定常的热传导-对流问题 |
A PETROV LEAST SQUARES MIXED FINITE ELEMENT METHOD FOR THE NON-STATIONARY CONDUCTION CONVECTION PROBLEMS |
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| Sun Ping,Luo Zhendong,Chen Jing. A PETROV LEAST SQUARES MIXED FINITE ELEMENT METHOD FOR THE NON-STATIONARY CONDUCTION CONVECTION PROBLEMS[J]. Mathematica Numerica Sinica, 2009, 31(1): 87-98 |
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| Authors: | Sun Ping Luo Zhendong Chen Jing |
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| Affiliation: | School of Mathematics and Computer Science;Guizhou Normal University;Guiyang 550001;China;College of Science;China Agricultural University;Beijing 100083;China |
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| Abstract: | In this work,a Petrov least squares mixed finite element(PLSMFE)method for the non-stationary conduction convection problems is derived.The PLSMFE method could circumvent the constraint of Babu(?)ka-Brezzi condition so that the combination of finite element subspaces could be chosen freely and optimal order error estimates are obtained. |
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| Keywords: | Petrov least squares method mixed element method the non-stationary conduction convection problems |
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