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A magnetostatic energy formula arising from the L2-orthogonal decomposition of the stray field
- 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.
- Subjects :
- 010302 applied physics
Dirichlet problem
Applied Mathematics
Demagnetizing field
Mathematical analysis
FOS: Physical sciences
Geometry
Numerical Analysis (math.NA)
Computational Physics (physics.comp-ph)
Mathematical proof
01 natural sciences
010305 fluids & plasmas
Electromagnetic induction
65N99, 82D40
Magnet
0103 physical sciences
FOS: Mathematics
Mathematics - Numerical Analysis
Representation (mathematics)
Physics - Computational Physics
Micromagnetics
Analysis
Energy (signal processing)
Mathematics
Subjects
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