期刊论文

Wang, Wansheng

英文

Numerical Methods for Partial Differential Equations

0749-159X

2017

33

6

2114-2140

10.1002/num.22182

Correspondence to: Wansheng Wang, School of Mathematics and Statistics, Changsha University of Science and Technology, Yuntang campus, 410114 Changsha, China (e-mail: w.s.wang@163.com) Contract grant sponsor: National Natural Science Foundation of China; contract grant number: 11371074 Contract grant sponsor: Natural Science Foundation of Hunan Province, China; contract grant number: 13JJ1020 Contract grant sponsor: Research Foundation of Education Bureau of Hunan Province, China; contract grant number: 13A108

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In this article, we study the dissipativity of the linearly implicit Euler scheme for the 2D Navier-Stokes equations with time delay volume forces (NSD). This scheme can be viewed as an application of the implicit Euler scheme to linearized NSD. Therefore, only a linear system is needed to solve at each time step. The main results we obtain are that this scheme is L2 dissipative for any time step size and H1 dissipative under a time-step constraint. As a consequence, the existence of a numerical attractor of the discrete dynamical system is est...