A magnetostatic energy formula arising from the L2-orthogonal decomposition of the stray field

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:467

Article

Exl, Lukas^1,2 

[1] Univ Vienna, Fac Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria

[2] Vienna Univ Technol, Inst Anal & Sci Comp, Wiedner Hauptstr 8-10, A-1040 Vienna, Austria

关键词: Micromagnetics;    Magnetostatics;    Boundary integral operators;    Stray field energy;    Single layer potential;   

DOI  :  10.1016/j.jmaa.2018.07.018

来源: Elsevier

【 摘 要 】

A formula for the magnetostatic energy of a finite magnet is proven. In contrast to common approaches, the new energy identity does not rely on evaluation of a nonlocal boundary integral inside the magnet or the solution of an equivalent Dirichlet problem. The formula is therefore computationally efficient, which is also shown numerically. Algorithms for the simulation of magnetic materials could benefit from incorporating the presented representation of the energy. In addition, a natural analogue for the energy via the magnetic induction is given. Proofs are carried out within a setting which is suitable for common discretizations in computational micromagnetics. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free