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

Authors :
Lukas Exl
Source :
Journal of Mathematical Analysis and Applications. 467:230-237
Publication Year :
2018
Publisher :
Elsevier BV, 2018.

Abstract

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.

Details

ISSN :
0022247X
Volume :
467
Database :
OpenAIRE
Journal :
Journal of Mathematical Analysis and Applications
Accession number :
edsair.doi.dedup.....8780fe74afae0d43df835ab50539603d
Full Text :
https://doi.org/10.1016/j.jmaa.2018.07.018