| 关于Stokes方程不满足inf-sup条件的加罚有限元方法 |
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| 引用本文： | 杨建宏,叶雁冰.关于Stokes方程不满足inf-sup条件的加罚有限元方法[J].宝鸡文理学院学报(自然科学版),2007,27(1):17-19,29. |
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| 作者姓名： | 杨建宏 叶雁冰 |
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| 作者单位： | 宝鸡文理学院,数学系,陕西,宝鸡,7210071;榆林中学,陕西,榆林,719000 |
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| 基金项目： | 宝鸡文理学院校科研和教改项目 |
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| 摘 要： | 目的讨论二维不可压缩Stokes方程基于等阶有限元R1-R1元的加罚有限元方法。方法在一定的正则性条件下,利用加罚有限元方法从理论上证明其收敛性。结果加罚有限元方法对于低等阶有限元R1-R1具有很好的稳定性。结论加罚有限元方法是一种行之有效的方法。
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| 关 键 词： | Stokes方程 加罚有限元方法 inf-sup条件 |
| 文章编号： | 1007-1261（2007）01-0017-03 |
| 收稿时间： | 2006-03-15 |
| 修稿时间： | 2006-03-15 |
The penalized finite element method for the Stokes equations to circumvent the inf-sup condition |
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| YANG Jian-hong,YE Yan-bing.The penalized finite element method for the Stokes equations to circumvent the inf-sup condition[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2007,27(1):17-19,29. |
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| Authors: | YANG Jian-hong YE Yan-bing |
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| Abstract: | Aim The penalized finite element method is considered for the incompressible Stokes equations on two-dimensional domain,based on some lowest equal-order finite elements space pair(Xh,Mh) which do not satisfy the discrete inf-sup condition.Method The penalized finite element method is derived under some reqularity assumptions.Then, the convergence of the penalty method is obtained.Result The penlized method are excellently stable for the lowest equal-order finite element R1-R1.Conclusion The penalized finite element method is a better method. |
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| Keywords: | Stokes equations penalized finite element method inf-sup condition |
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