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Stokes问题的杂交—混合有限元分析
段火元; 梁国平; 马昌凤
2003
Source Publication应用数学学报
ISSN0254-3079
Volume026Issue:003Pages:551
Abstract本文发展Stokes问题的一个四变量杂交-混合变分方程:应力-速度-压力-拉格朗日乘子.然后发展其有限元方法:对应四变量分别用间断型Raviart—Thomas最低阶元,分片常数元,连续线性元和连续线性元的迹空间.我们获得了稳定性和最优误差界.通过后处理办法,我们得到一个适合于计算的速度-压力格式,该格式可视为“Mini”元方法的一个变形(本文格式中引入了局部投影算子).然而,本文格式关于压力具有“超收敛”结果:得到了压力关于H^1-范的误差界O(h).
Language英语
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/40442
Collection中国科学院数学与系统科学研究院
Affiliation中国科学院数学与系统科学研究院
Recommended Citation
GB/T 7714
段火元,梁国平,马昌凤. Stokes问题的杂交—混合有限元分析[J]. 应用数学学报,2003,026(003):551.
APA 段火元,梁国平,&马昌凤.(2003).Stokes问题的杂交—混合有限元分析.应用数学学报,026(003),551.
MLA 段火元,et al."Stokes问题的杂交—混合有限元分析".应用数学学报 026.003(2003):551.
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