An Improved XFEM with Multiple High Order Enrichment Functions and Low Order Meshing Elements for Field Analysis of Electromagnetic Devices with Multiple Nearby Geometrical Interfaces

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Conference Proceeding
IEEE Transactions on Magnetics, 2015, 51 (3)
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This paper proposes an improved extended finite element method (XFEM) for modeling electromagnetic devices with multiple nearby geometrical interfaces. In regions near these interfaces, the magnetic vector potential approximation is enriched by incorporat-ing multiple derivative discontinuous fields based on the partition of unity method such that the interfaces can be represented inde-pendent of the mesh. The support of a node or an element can be cut by several interfaces. This method results in the high accuracy in the approximation field and the derivative field. Numerical examples applied to the iron core in 1D eddy current field involving level set based parts, error analysis and electromagnetic field computations are provided to demonstrate the utility of the proposed approach.
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