Optimal error estimates of a Crank–Nicolson finite element projection method for magnetohydrodynamic equations
Optimal error estimates of a Crank–Nicolson finite element projection method for magnetohydrodynamic equations
In this paper, we propose and analyze a fully discrete finite element projection method for the magnetohydrodynamic (MHD) equations. A modified Crank–Nicolson method and the Galerkin finite element method are used to discretize the model in time and space, respectively, and appropriate semi-implicit treatments are applied to the fluid convection …