Simulation of the writing process using finite element and augmented Lagrangian methods

In order to optimize the design of conventional or thin film heads and to choose the more convenient medium, numerical analyses are generally used. Most of them use scalar potential or micromagnetic assumptions to simulate the head itself and the writing or reading processes. In order to improve the convergence time and the accuracy of the calculations with regard to the capabilities of the usual computers and to solve the complete problem, we have developed a method using the magnetic vector potential to make cleat the governing equations in the different steps of the writing process. An approach using finite element and augmented Lagrangian methods is presented, which takes into account the hysteresis loops of each material (head and medium).