magnum.fe: A micromagnetic finite-element simulation code based on FEniCS

• Published in: Journal of magnetism and magnetic materials Vol. 345; pp. 29 - 35
• Main Authors: Abert, Claas, Exl, Lukas, Bruckner, Florian, Drews, André, Suess, Dieter
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier 01.11.2013
• Subjects: Computer simulation; Condensed matter: electronic structure, electrical, magnetic, and optical properties; Critical-point effects, specific heats, short-range order; Demagnetization; Exact sciences and technology; Finite element method; Magnetic properties and materials; Magnetism; Mathematical analysis; Mathematical models; Numerical simulation studies; Packages; Physics; Transformations; Finite element method; Micromagnetism; Landau―Lifshitz―Gilbert equation; Finite-element method; Demagnetizing field; Numerical method; Micromagnetics; Demagnetization; Landau Lifshitz equation; Calculation methods
• ISSN: 0304-8853
• DOI: 10.1016/j.jmmm.2013.05.051

We have developed a finite-element micromagnetic simulation code based on the FEniCS package called magnum.fe. Here we describe the numerical methods that are applied as well as their implementation with FEniCS. We apply a transformation method for the solution of the demagnetization-field problem. A semi-implicit weak formulation is used for the integration of the Landau-Lifshitz-Gilbert equation. Numerical experiments show the validity of simulation results, magnum.fe is open source and well documented. The broad feature range of the FEniCS package makes magnum.fe a good choice for the implementation of novel micromagnetic finite-element algorithms.