H-based A−φ approaches of approximating eddy current problem by way of solving different systems inside and outside the conductor

摘要

In this paper, we suggest some new algorithms to realize approximating magnetic field equations derived from the basic eddy current model in the bounded domain. These algorithms are based on solving two different equation systems inside and outside the conductor in which eddy current is formed. In addition, we extend relative results to the corresponding unbounded-domain problem by the coupling of finite elements and natural boundary elements and the domain decomposition method based on the natural boundary reduction respectively. Meanwhile some error estimates are given.