Optimal Error Estimates of a First-Order Backward Euler Scheme for the Landau-Lifshitz-Bloch Equation
This paper investigates the first-order backward Euler finite element fully discrete algorithm for solving the Landau-Lifshitz-Bloch(LLB)equation.By using mathematical induction,the optimal error estimates of magnetization and magnetic field under L2 and H1 norms are obtained for both exact and numerical solutions,respectively.The theoretical analysis is validated by numerical results in 2D and 3D spaces.
The Landau-Lifshitz-Bloch EquationOptimal Error EstimationUnconditional ConvergenceLinearized Semi-implicit FormatFinite Element Method
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维普
