The Landau-Lifshitz-Gilbert Equation describes the dynamics of ferromag- netism, where strong nonlinearity and non-convexity are hard to tackle. Based on the work of S.Bartels and A.Prohl "Convergence of an implicit finite element method for the Landau-Lifshitz-Gilbert equation" ([4]), we present in this report a fully implicit finite element scheme with exchange and magnetostriction. We verify unconditional convergence and present numerical examples
Qian Wang, Jan Sickmann Hesthaven, Nicolò Ripamonti
Jan Sickmann Hesthaven, Nicolò Ripamonti, Cecilia Pagliantini