Local and Parallel Finite Element Algorithm Based on Oseen-Type Iteration for the Stationary Incompressible MHD Flow
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- 作者：Qili Tang ; Yunqing Huang
- 关键词：Local and parallel algorithm ; Finite element ; Oseen iteration ; Stationary incompressible magnetohydrodynamics
- 刊名：Journal of Scientific Computing
- 出版年：2017
- 出版时间：January 2017
- 年：2017
- 卷：70
- 期：1
- 页码：149-174
- 全文大小：
- 刊物类别：Mathematics and Statistics
- 刊物主题：Algorithms; Computational Mathematics and Numerical Analysis; Appl.Mathematics/Computational Methods of Engineering; Theoretical, Mathematical and Computational Physics;
- 出版者：Springer US
- ISSN：1573-7691
- 卷排序：70
文摘
In this work, we are concerned with the local and parallel finite element algorithm based on the Oseen-type iteration for solving the stationary incompressible magnetohydrodynamics. Under the uniqueness condition, the error estimates with respect to iterative step m and small mesh sizes H and \(h\ll H\) of the proposed method are derived. Finally, some numerical experiments are provided to show the high efficiency of our algorithm.