Year: 2022
Author: Zhiyong Si, Piaopiao Dong, Yunxia Wang
Advances in Applied Mathematics and Mechanics, Vol. 14 (2022), Iss. 2 : pp. 386–414
Abstract
In this paper, a numerical method for the electroneutral micro-fluids based on the finite element method will be given. In order to deal with the non-linearity of the equation, the modified characteristics method will be used to deal with the temporal derivative term and the convective term. In this way, the non-linear equation can be linearized. Then, we will give the unconditional stability and optimal error estimation. At last, some numerical results are given to show the effectiveness of our method. From the stability analysis we can see that the method is unconditionally stable. The numerical results show that our method is robust.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2020-0327
Advances in Applied Mathematics and Mechanics, Vol. 14 (2022), Iss. 2 : pp. 386–414
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 29
Keywords: Electroneutral micro-fluids finite element method modified characteristics method unconditional stability optimal error estimation.
Author Details
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Unconditional stability and error estimates of the modified characteristics FEMs for the time-dependent thermally coupled incompressible MHD equations
Si, Zhiyong
Lu, Jingyun
Wang, Yunxia
Computers & Fluids, Vol. 240 (2022), Iss. P.105427
https://doi.org/10.1016/j.compfluid.2022.105427 [Citations: 6]