Least-squares finite element for nonlinear MHD equations

The stationary motion of magnetic force to conductive fluid could get nonlinear MHD equations, and mathematical analysis for the flow of MHD is very complex. In order to solve this kind of special problems, least-squares finite element method is put forward to solve nonlinear MHD equations: firstly, give least-squares form, and then testify the existence and convergence of solution. From the theory analysis, we could know that for nonlinear MHD equations, least-squares finite element method could obtain optimal error estimation.