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Volume 15, Issue 5
A Finite Element Variational Multiscale Method for Stationary Incompressible Magnetohydrodynamics Equations

Huayi Huang, Yunqing Huang & Qili Tang

DOI: 10.4208/aamm.OA-2022-0200

Adv. Appl. Math. Mech., 15 (2023), pp. 1142-1165.

Published online: 2023-06

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  • Abstract

In this paper, we propose a variational multiscale method (VMM) for the stationary incompressible magnetohydrodynamics equations. This method is defined by large-scale spaces for the velocity field and the magnetic field, which aims to solve flows at high Reynolds numbers. We provide a new VMM formulation and prove its stability and convergence. Finally, some numerical experiments are presented to indicate the optimal convergence of our method.

  • Keywords

Variational multiscale method, stationary incompressible magnetohydrodynamics, large-scale spaces, stability and convergence, high Reynolds numbers.

  • AMS Subject Headings

65N30, 65N12, 65M60

  • Copyright

COPYRIGHT: © Global Science Press

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  • TXT
@Article{AAMM-15-1142, author = {Huang , HuayiHuang , Yunqing and Tang , Qili}, title = {A Finite Element Variational Multiscale Method for Stationary Incompressible Magnetohydrodynamics Equations}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2023}, volume = {15}, number = {5}, pages = {1142--1165}, abstract = {

In this paper, we propose a variational multiscale method (VMM) for the stationary incompressible magnetohydrodynamics equations. This method is defined by large-scale spaces for the velocity field and the magnetic field, which aims to solve flows at high Reynolds numbers. We provide a new VMM formulation and prove its stability and convergence. Finally, some numerical experiments are presented to indicate the optimal convergence of our method.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2022-0200}, url = {http://global-sci.org/intro/article_detail/aamm/21771.html} }
TY - JOUR T1 - A Finite Element Variational Multiscale Method for Stationary Incompressible Magnetohydrodynamics Equations AU - Huang , Huayi AU - Huang , Yunqing AU - Tang , Qili JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 1142 EP - 1165 PY - 2023 DA - 2023/06 SN - 15 DO - http://doi.org/10.4208/aamm.OA-2022-0200 UR - https://global-sci.org/intro/article_detail/aamm/21771.html KW - Variational multiscale method, stationary incompressible magnetohydrodynamics, large-scale spaces, stability and convergence, high Reynolds numbers. AB -

In this paper, we propose a variational multiscale method (VMM) for the stationary incompressible magnetohydrodynamics equations. This method is defined by large-scale spaces for the velocity field and the magnetic field, which aims to solve flows at high Reynolds numbers. We provide a new VMM formulation and prove its stability and convergence. Finally, some numerical experiments are presented to indicate the optimal convergence of our method.

Huang , HuayiHuang , Yunqing and Tang , Qili. (2023). A Finite Element Variational Multiscale Method for Stationary Incompressible Magnetohydrodynamics Equations. Advances in Applied Mathematics and Mechanics. 15 (5). 1142-1165. doi:10.4208/aamm.OA-2022-0200
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