Stability and convergence of iterative methods related to viscosities for the 2D/3D steady Navier Stokes equations
Stability and convergence of iterative methods related to viscosities for the 2D/3D steady Navier Stokes equations
复制标题
2D/3D 稳态纳维斯托克斯方程粘度相关迭代方法的稳定性和收敛性
DOI：
10.1016/j.jmaa.2014.10.037
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发表时间：
2015-03-15
影响因子：
1.3
通讯作者：
He, Yinnian
中科院分区：
文献类型：
--
作者：
He, Yinnian
设计了一些与粘性有关的有限元迭代方法，数值求解定常的二维/三维Navier-Stokes方程。设计了两层有限元迭代方法数值求解定常的二维/三维Navier-Stokes方程，使得粘性系数v大，强唯一性条件成立。两层有限元迭代法包括在网格尺寸为H的粗网格上进行m次Stokes、Newton和Oseen迭代，在网格尺寸为h的细网格上计算一次Stokes、Newton和Oseen修正
Some finite element iterative methods related to viscosities are designed to solve numerically the steady 2D/3D Navier Stokes equations. The two-level finite element iterative methods are designed to solve numerically the steady 2D/3D Navier Stokes equations for a large viscosity v such that a strong uniqueness condition holds. The two-level finite element iterative methods consist of using the Stokes, Newton and Oseen iterations of m times on a coarse mesh with mesh size H and computing the Stokes, Newton and Oseen correction of one time on a fine grid with mesh size h