An improved solution scheme for open-boundary skin effect problems

FEM/DBCI (Dirichlet Boundary Condition Iteration) is a hybrid method which has been successfully applied to the finite element solution of static and quasistatic unbounded field problems. It is based on the iterative improvement of a Dirichlet condition on a fictitious boundary enclosing all the con...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2001-09, Vol.37 (5), p.3474-3477
Main Authors: Aiello, G., Alfonzetti, S., Borzi, G., Salerno, N.
Format: Article
Language:English
Subjects:
Applied classical electromagnetism
Boundaries
Boundary conditions
Boundary element methods
Conductivity
Conductors
Dirichlet problem
Electromagnetism
electron and ion optics
Electrostatics
Exact sciences and technology
Finite element method
Finite element methods
Fundamental areas of phenomenology (including applications)
Integral equations
Iterative methods
Magnetism
Magnetostatics
magnetic shielding, magnetic induction, boundary-value problems
Mathematical analysis
Mathematical models
Physics
Robustness
Skin effect
Strategy
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Summary:FEM/DBCI (Dirichlet Boundary Condition Iteration) is a hybrid method which has been successfully applied to the finite element solution of static and quasistatic unbounded field problems. It is based on the iterative improvement of a Dirichlet condition on a fictitious boundary enclosing all the conductors, making use of the free-space Green's function. In this paper it is shown that for two-dimensional skin effect problems a more robust solving strategy can be pursued by means of GMRES, obtaining a reduction in both CPU and storage requirements.
ISSN:0018-9464
1941-0069
DOI:10.1109/20.952640