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Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 12
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Original Articles

Analysis of an eddy current and micromagnetic model

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Pages 1509-1525 | Received 07 Sep 2006, Published online: 11 Dec 2006
 

Abstract

We consider a coupled eddy current and micromagnetic model describing the behaviour of dynamic electromagnetic phenomena in applications such as disk write heads. We first prove the existence of a weak solution to this nonlinear problem. Then we outline a numerical time-stepping scheme. Since the numerical method requires a nonstandard mixed boundary value eddy current problem to be solved at each time step, we show the existence and uniqueness of a solution for the corresponding eddy current problem. This is accomplished using an image principle and the verification of a suitable Babuška–Brezzi condition.

Acknowledgement

J. Sun was supported by a DoD grant DAAD19-03-1-0375.

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