Semi-Implicit Steepest Descent Method for Energy Minimization and Its Application to Micromagnetic Simulation of Permanent Magnets

We report an acceleration method for evaluating the coercivity and the M-H curve of a magnetic material based on micromagnetic simulation. To avoid stability constraint of explicit schemes, we examine a semi-implicit integration for the steepest descent method to find the local minimum state. The present method is applied to simulate a magnetization reversal process in the simplified microstructure of permanent magnets, and a major improvement of calculation speed is achieved to simulate the M-H curve of permanent magnets correctly.