梅立泉
- 教授
- Supervisor of Doctorate Candidates
- Supervisor of Master's Candidates
- E-Mail:
- Date of Employment:1997-07-01
- Education Level:With Certificate of Graduation for Doctorate Study
- Professional Title:教授
- Status:Employed
- Alma Mater:西安交通大学
- College:School Of Mathematics And Statistics
- Discipline:Mathematics
- Papers
Newton Iterative Parallel Finite Element Algorithm for the Steady Navier-Stokes Equations
Release Time:2025-04-30 Hits:
- Date:2025-04-30
- Title of Paper:Newton Iterative Parallel Finite Element Algorithm for the Steady Navier-Stokes Equations
- Journal:JOURNAL OF SCIENTIFIC COMPUTING
- Summary: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.
- Co-author:Yinnian He, Liquan Mei, Yueqiang Shang
- Volume:44（1）
- Page Number:92-106
- Translation or Not:No
- Date of Publication:2010-06-03