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 引用本文: 马飞遥, 马逸尘, 沃维丰. 基于二重网格的定常Navier-Stokes方程的局部和并行有限元算法[J]. 应用数学和力学, 2007, 28(1): 25-33.
MA Fei-yao, MA Yi-chen, WO Wei-feng. Local and Parallel Finite Element Algorithms Based on Two-Grid Discretization for Steady Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2007, 28(1): 25-33.
 Citation: MA Fei-yao, MA Yi-chen, WO Wei-feng. Local and Parallel Finite Element Algorithms Based on Two-Grid Discretization for Steady Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2007, 28(1): 25-33.

## 基于二重网格的定常Navier-Stokes方程的局部和并行有限元算法

###### 作者简介:马飞遥(1979- ),男,湖南衡阳人,博士(联系人.Tel:+86-29-82673454;E-mail:feiyaoma@gmail.com).
• 中图分类号: O241.82

## Local and Parallel Finite Element Algorithms Based on Two-Grid Discretization for Steady Navier-Stokes Equations

• 摘要: 对二维定常的不可压缩的Navier-Stokes方程的局部和并行算法进行了研究．给出的算法是多重网格和区域分解相结合的算法，它是基于两个有限元空间：粗网格上的函数空间和子区域的细网格上的函数空间．局部算法是在粗网格上求一个非线性问题，然后在细网格上求一个线性问题，并舍掉内部边界附近的误差相对较大的解．最后，基于局部算法，通过有重叠的区域分解而构造了并行算法，并且做了算法的误差分析，得到了比标准有限元方法更好的误差估计，也对算法做了数值试验，数值结果通过比较验证了本算法的高效性和合理性．
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##### 出版历程
• 收稿日期:  2006-03-30
• 修回日期:  2006-10-31
• 刊出日期:  2007-01-15

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