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Abstract：
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.
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Source ：
NUMERISCHE MATHEMATIK
ISSN： 0029-599X
Year： 2013
Issue： 1
Volume： 123
Page： 67-96
1 . 5 5 1
JCR@2013
2 . 2 2 3
JCR@2020
ESI Discipline： MATHEMATICS;
ESI HC Threshold：73
JCR Journal Grade：1
CAS Journal Grade：2
Cited Count：
WoS CC Cited Count： 37
SCOPUS Cited Count： 40
ESI Highly Cited Papers on the List： 0 Unfold All
WanFang Cited Count：
Chinese Cited Count：
30 Days PV： 13
