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On the condition ‘h normal to the wall’ in magnetic field problems
Author(s) -
Bossavit Alaln
Publication year - 1987
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620240810
Subject(s) - boundary value problem , limit (mathematics) , magnetic field , computation , finite element method , mathematics , mathematical analysis , permeability (electromagnetism) , zero (linguistics) , mechanics , physics , chemistry , thermodynamics , quantum mechanics , algorithm , biochemistry , linguistics , philosophy , membrane
In finite element computations of magnetic fields, the boundary condition n × h = 0 is usually enforced on walls made of a material ofgreat permeability. We purport here to question the validity of this approximation. It is shown how this condition stems from a suitable passage to the limit (when the ratio of permeabilities μ 0 /μ tends to zero), provided a condition of topological nature (‘no loops’) is fulfilled. What to do when this condition does not hold is discussed.