Mirror Symmetry in Integral Formulations for Eddy Currents

This contribution addresses the exploitation of mirror symmetry (formally, the abelian D_{1} and D_{2} dihedral symmetry groups) in various integral formulations for eddy current problems. The novelty of the contribution is in particular how to rigorously treat non-simply-connected conductors wh...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2021-06, Vol.57 (6), p.1-4
Main Authors: Passarotto, Mauro, Klis, Daniel, Rain, Oliver, Specogna, Ruben
Format: Article
Language:English
Subjects:
Cohomology
Conductors
Eddy currents
Electric potential
Finite element analysis
finite element method–boundary element method (FEM–BEM)
Formulations
Generators
Homology
Integral equations
integral formulations
Integrals
Magnetic domains
Magnetism
mirror symmetry
Mirrors
Symmetry
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Summary:This contribution addresses the exploitation of mirror symmetry (formally, the abelian D_{1} and D_{2} dihedral symmetry groups) in various integral formulations for eddy current problems. The novelty of the contribution is in particular how to rigorously treat non-simply-connected conductors when computing the first cohomology group generators on the symmetry cell of the problem only.
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2021.3065253