Optimal Error Estimates of a First-Order Backward Euler Finite Element Method for the Landau-Lifshitz-Slonczewski Equation
This paper studies the first-order backward Euler finite element fully discrete algorithm for solving the Landau-Lifshitz-Slonczewski equation,which makes the numerical solution approximately satisfy the non-convex constraint of unit length.Meanwhile,the optimal error estimates of magnetization under L2-norm are obtained for both exact and numerical solutions,respectively.