Two-sided symmetric condition in the analysis of magnetic fields with permanent magnets
Applications of Mathematics, Tome 50 (2005) no. 4, pp. 401-412
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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.
DOI :
10.1007/s10492-005-0030-2
Classification :
65N30, 78M10
Keywords: magnetic field with permanent magnets; variational formulation; two-sided unique existence condition; finite element method
Keywords: magnetic field with permanent magnets; variational formulation; two-sided unique existence condition; finite element method
@article{10_1007_s10492_005_0030_2,
author = {Melkes, Franti\v{s}ek},
title = {Two-sided symmetric condition in the analysis of magnetic fields with permanent magnets},
journal = {Applications of Mathematics},
pages = {401--412},
publisher = {mathdoc},
volume = {50},
number = {4},
year = {2005},
doi = {10.1007/s10492-005-0030-2},
mrnumber = {2151464},
zbl = {1099.65113},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-005-0030-2/}
}
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 SP - 401 EP - 412 VL - 50 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1007/s10492-005-0030-2/ DO - 10.1007/s10492-005-0030-2 LA - en ID - 10_1007_s10492_005_0030_2 ER -
%0 Journal Article %A Melkes, František %T Two-sided symmetric condition in the analysis of magnetic fields with permanent magnets %J Applications of Mathematics %D 2005 %P 401-412 %V 50 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.1007/s10492-005-0030-2/ %R 10.1007/s10492-005-0030-2 %G en %F 10_1007_s10492_005_0030_2
Melkes, František. Two-sided symmetric condition in the analysis of magnetic fields with permanent magnets. Applications of Mathematics, Tome 50 (2005) no. 4, pp. 401-412. doi: 10.1007/s10492-005-0030-2
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