On finite element implementation of impedance boundary conditions

In the paper, impedance boundary conditions are represented in terms of scalar magnetic potential. This leads to a scalar magnetic potential formulation of three-dimensional (3-D) eddy current problems with small skin depths. The scalar potential formulation is then reduced to a weak Galerkin form....

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Bibliographic Details
Published in:Journal of applied physics 1994-05, Vol.75 (10), p.6027-6029
Main Authors: Mayergoyz, I. D., Bedrosian, G.
Format: Article
Language:English
Subjects:
BOUNDARY CONDITIONS
CALCULATION METHODS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
CURRENTS
EDDY CURRENTS
ELECTRIC CURRENTS 661300 > Other Aspects of Physical Science-- (1992-)
FINITE ELEMENT METHOD
IMPEDANCE
MAGNETIC FIELDS
NUMERICAL SOLUTION
POTENTIALS
THREE-DIMENSIONAL CALCULATIONS
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Summary:In the paper, impedance boundary conditions are represented in terms of scalar magnetic potential. This leads to a scalar magnetic potential formulation of three-dimensional (3-D) eddy current problems with small skin depths. The scalar potential formulation is then reduced to a weak Galerkin form. The finite element discretization of this form results in two (volume and surface) ‘‘stiffness’’ matrices. This approach completely avoids vectorial calculations in 3-D eddy current analysis.
ISSN:0021-8979
1089-7550
DOI:10.1063/1.355497