An iterative method for the thermally coupled incompressible magnetohydrodynamics equations at high parameter

Abstract

We design an iterative method based on linearization approach for the thermally coupled stationary incompressible magnetohydrodynamics equations at high physical parameters. The iterative method includes solving the considered equations by the linearization approach and applying the error correction strategy to reduce the iterative error arising from the linearization approach for solving the nonlinear equations. The iterative method not only can improve computational capability for solving the considered equations at high physical parameters but also can save computational time and iterative step. Moreover, we prove the stability of the iterative method and derive the iterative error estimates. Finally, some numerical tests are implemented to illustrate the efficiency of the presented method.