Newton Iterative Parallel Finite Element Algorithm for the Steady Navier-Stokes Equations

被引：76

作者：

He, Yinnian ^{[1
]}

Mei, Liquan ^{[1
]}

Shang, Yueqiang ^{[2
]}

Cui, Juan ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, Fac Sci, State Key Lab Multiphase Flow Power Engn, Xian 710049, Peoples R China

[2] Guizhou Normal Univ, Sch Math & Comp Sci, Guiyang 550001, Peoples R China

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2010年 / 44卷 / 01期

关键词：

Navier-Stokes equations; Newton iterative method; Two-grid method; Local and parallel algorithm; 2-GRID DISCRETIZATION;

D O I：

10.1007/s10915-010-9371-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

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(a)H. Finally, some numerical tests are made to demonstrate the the effectiveness of this algorithm.

引用

页码：92 / 106

页数：15

共 16 条

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[4]

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