定常不可压缩MHD方程亏量校正变分多尺度方法研究

In this paper, the defect correction variational multiscale method (DCVMM) based on local Gauss integrations is developed for the stationary incompressible magnetohydrodynamics (MHD) problem. Firstly, we review the variational multiscale method (VMM) for solving the stationary incompressible magnetohydrodynamics problem, and give the stability and convergence of the numerical solutions. Sencondly, the DCVMM based on local Gauss integrations is developed for the stationary incompressible MHD problem, and the stability and optimal error results of the numerical solutions are established. Finally, some numerical examples are provided to indicate with the obtained theoretical findings and show the performances of the considered numerical schemes.