Two-sided symmetric condition in the analysis of magnetic fields with permanent magnets

František Melkes

Applications of Mathematics (2005)

  • Volume: 50, Issue: 4, page 401-412
  • ISSN: 0862-7940

Abstract

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Mathematical treatment of a planar magnetic field excited by permanent magnets is presented. A special two-sided condition for differential magnetic reluctivity is introduced to prove the unique existence of both the weak and the approximate solutions and also a certain error estimate. Notes to numerical algorithm and practical applications are given.

How to cite

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Melkes, František. "Two-sided symmetric condition in the analysis of magnetic fields with permanent magnets." Applications of Mathematics 50.4 (2005): 401-412. <http://eudml.org/doc/33229>.

@article{Melkes2005,
abstract = {Mathematical treatment of a planar magnetic field excited by permanent magnets is presented. A special two-sided condition for differential magnetic reluctivity is introduced to prove the unique existence of both the weak and the approximate solutions and also a certain error estimate. Notes to numerical algorithm and practical applications are given.},
author = {Melkes, František},
journal = {Applications of Mathematics},
keywords = {magnetic field with permanent magnets; variational formulation; two-sided unique existence condition; finite element method; magnetic field with permanent magnets; variational formulation; two-sided unique existence condition; finite element method},
language = {eng},
number = {4},
pages = {401-412},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Two-sided symmetric condition in the analysis of magnetic fields with permanent magnets},
url = {http://eudml.org/doc/33229},
volume = {50},
year = {2005},
}

TY - JOUR
AU - Melkes, František
TI - Two-sided symmetric condition in the analysis of magnetic fields with permanent magnets
JO - Applications of Mathematics
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 4
SP - 401
EP - 412
AB - Mathematical treatment of a planar magnetic field excited by permanent magnets is presented. A special two-sided condition for differential magnetic reluctivity is introduced to prove the unique existence of both the weak and the approximate solutions and also a certain error estimate. Notes to numerical algorithm and practical applications are given.
LA - eng
KW - magnetic field with permanent magnets; variational formulation; two-sided unique existence condition; finite element method; magnetic field with permanent magnets; variational formulation; two-sided unique existence condition; finite element method
UR - http://eudml.org/doc/33229
ER -

References

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