Euler implicit/explicit iterative scheme for the stationary Navier-Stokes equations
Euler implicit/explicit iterative scheme for the stationary Navier-Stokes equations
复制标题
平稳纳维-斯托克斯方程的欧拉隐式/显式迭代方案
DOI：
10.1007/s00211-012-0482-8
复制
发表时间：
2013-01-01
影响因子：
2.1
通讯作者：
He, Yinnian
中科院分区：
文献类型：
--
作者：
He, Yinnian
本文提出了定常Navier-Stokes方程解的一个新的唯一性假设（A2）。在假设（A2）下，证明了定常Navier-Stokes方程解的指数稳定性。采用基于混合有限元的Euler隐/显格式求解定常Navier-Stokes方程。最后，证明了该格式的几乎无条件稳定性，并给出了时间上一致的最优误差估计。
In this paper, a new uniqueness assumption (A2) of the solution for the stationary Navier-Stokes equations is presented. Under assumption (A2), the exponential stability of the solution for the stationary Navier-Stokes equations is proven. Moreover, the Euler implicit/explicit scheme based on the mixed finite element is applied to solve the stationary Navier-Stokes equations. Finally, the almost unconditionally stability is proven and the optimal error estimates uniform in time are provided for the scheme.