2023/02/06 by Tahar Z. Boulmezaoud, Boulmezaoud, Tahar Zamene
Computer Science · Materials Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Magnetic Properties and Applications #Mathematical Physics (math-ph) #Numerical Analysis (math.NA) #Numerical methods in inverse problems
paper · doi:10.48550/arxiv.2302.02640
openalex publication_date 2023/02/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The primary aim of this paper is the derivation and the proof of a simple and tractable formula for the stray field energy in micromagnetic problems. The formula is based on an expansion in terms of Arar-Boulmezaoud functions. It remains valid even if the magnetization is not of constant magnitude or if the sample is not geometrically bounded. The paper continuous with a direct and important application which consists in a fast summation technique of the stray field energy. The convergence of this technique is established and its efficiency is proved by various numerical experiences.