Micromagnetic simulation using the dynamic alternating direction implicit method

We have developed a 3-D micromagnetic algorithm using finite-differences and the iterative matrix solution method, dynamic alternating direction implicit (DADI), for the magnetostatic potential equation. As in previous work, the magnetization is integrated in time toward equilibrium with the Landau-Lifshitz-Gilbert (LLG) equation. We have found that only one iteration of DADI is needed for each time step of the LLG equation. The resulting algorithm has relatively short computation times even for simulations with linearly permeable structures of various shapes. In addition to the magnetostatic field the effective H-field includes exchange coupling, crystalline anisotropy, interlayer exchange coupling, and current-induced fields allowing the simulation of a wide range of devices. (C) 1998 Elsevier Science B.V. All rights reserved.