Decoupled schemes for unsteady MHD equations. I. time discretization

作者：Zhang, Guo-Dong; He, Yinnian^*

来源：Numerical Methods for Partial Differential Equations, 2017, 33(3): 956-973.

DOI：10.1002/num.22132

• MHD equations
• decoupled scheme
• almost unconditional stability
• almost unconditional convergence
• optimal error estimates

In this article, a time discretization decoupled scheme for two- dimensional magnetohydrodynamics equations is proposed. The almost unconditional ( Delta t = C) H2 stability and convergence of this scheme are provided. The optimal L2 - H1 error estimates for velocity and magnet are provided, and the optimal L2 error estimate for pressure are deduced as well. Finite element spatial discretization and numerical implementation are considered in our article ( Zhang and He, Comput Math Appl 69 ( 2015), 1390- 1406).

• 出版日期2017-5
• 单位烟台大学; 西安交通大学