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Finite element steady-state solutions of the traveling magnetic field problem

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3 Author(s)
Ikeuchi, M. ; Okayama University of Science, Okayama-shi, Japan ; Niki, H. ; Kobayashi, H.

The paper is concerned with stability and accuracy of n-order finite element (FE) steady-state solutions of traveling magnetic field problem. It is found that the odd-order FE solutions ( n is the odd number) are stable 0 < \sigma |u|h|\nu < f(n) \simeq 2.0 + 1.4(n - 1) , and that the even-order FE solutions ( n is the even number) are unconditionally stable. The consistent domain is also proposed, in which the n -order FE solutions are stable and of 2 n -order accuracy. Moreover, three-dimensional cases are dealt with, and the comparison with upwind methods is given. The merit and limits of the n-order FE method are finally cleared.

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Magnetics, IEEE Transactions on  (Volume:19 ,  Issue: 4 )