Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
An Eddy current Calculation on a Multiply-connected Domain by a Finite Element Method
Takasi Sasakawa
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1993 Volume 3 Issue 1 Pages 31-45

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Abstract
This paper discusses the case where a finite element method is applied for eddy current calculation on a multiply-connected domain. We show that the coefficient matrix of the finite element method degenerates in accordance with the number of 'holes' in the domain, whien we approximate the electric field by 'Nedelec's finite elements'in the dicretization process. We propose a countermeasure for the degeneracy of th coefficient matrix. This measure is tantamount to assigning the time change rate of magnetic fluxes through holes. Finally we present some numerical examples.
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© 1993 The Japan Society for Industrial and Applied Mathematics
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