- 教授
- 博士生导师
- 硕士生导师
- 入职时间：1997-07-01
- 学历：博士研究生毕业
- 性别：男
- 学位：博士
- 在职信息：在职
- 毕业院校：西安交通大学
- 所属院系：数学与统计学院
- 学科：数学
Newton Iterative Parallel Finite Element Algorithm for the Steady Navier-Stokes Equations
- 发布时间：2025-04-30
- 论文名称：Newton Iterative Parallel Finite Element Algorithm for the Steady Navier-Stokes Equations
- 发表刊物：JOURNAL OF SCIENTIFIC COMPUTING
- 摘要：A combination method of the Newton iteration and parallel finite element algorithm is applied for solving the steady Navier-Stokes equations under the strong uniqueness condition. This algorithm is motivated by applying the Newton iterations of m times for a nonlinear problem on a coarse grid in domain Omega and computing a linear problem on a fine grid in some subdomains Omega (j) aS,Omega with j=1,aEuro broken vertical bar,M in a parallel environment. Then, the error estimation of the Newton iterative parallel finite element solution to the solution of the steady Navier-Stokes equations is analyzed for the large m and small H and ha parts per thousand H-a. Finally, some numerical tests are made to demonstrate the the effectiveness of this algorithm.
- 合写作者：Yinnian He, Liquan Mei, Yueqiang Shang
- 卷号：44（1）
- 页面范围：92-106
- 是否译文：否
- 发表时间：2010-06-03
- 合写作者：Yinnian He, Liquan Mei, Yueqiang Shang