论文期刊

论文标题    Newton Iterative Parallel Finite Element Algorithm for the Steady Navier-Stokes Equations
作者    Yinnian He, Liquan Mei, Yueqiang Shang
发表/完成日期    2010-06-03
期刊名称    JOURNAL OF SCIENTIFIC COMPUTING
期卷    44(1)
相关文章   
论文简介    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.