Year: 2021
Author: Xiaocui Li, Xu You
Journal of Computational Mathematics, Vol. 39 (2021), Iss. 1 : pp. 130–146
Abstract
This paper gives the detailed numerical analysis of mixed finite element method for fractional Navier-Stokes equations. The proposed method is based on the mixed finite element method in space and a finite difference scheme in time. The stability analyses of semi-discretization scheme and fully discrete scheme are discussed in detail. Furthermore, We give the convergence analysis for both semidiscrete and fully discrete schemes and then prove that the numerical solution converges the exact one with order $O(h^2+k)$, where $h$ and $k$ respectively denote the space step size and the time step size. Finally, numerical examples are presented to demonstrate the effectiveness of our numerical methods.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1911-m2018-0153
Journal of Computational Mathematics, Vol. 39 (2021), Iss. 1 : pp. 130–146
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Time-fractional Navier-Stokes equations Finite element method Error estimates Strong convergence.
Author Details
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Jacobi spectral collocation method of space-fractional Navier-Stokes equations
Jiao, Yujian
Li, Tingting
Zhang, Zhongqiang
Applied Mathematics and Computation, Vol. 488 (2025), Iss. P.129111
https://doi.org/10.1016/j.amc.2024.129111 [Citations: 0]