A comparison of finite element and boundary element formulations for three-dimensional magnetostatic problems

Peng, Jian; Salon, S.J.; Chari, M.V.K.

doi:10.1109/tmag.1984.1063336

Cited by 4 publications

(2 citation statements)

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“…Boundary element/integral methods (BEM/BIM) were introduced in the electromagnetics domain and have become popular alternative approaches for analyzing magnetic fields [6][7][8]. The boundary integral method is often recognized as the most accurate method since it treats the boundary conditions precisely and provides accurate, stable, and well-developed quadrature of boundary integrals [9][10][11].…”

Section: Introductionmentioning

confidence: 99%

“…Problems with smooth boundaries in electromagnetics in two-dimensions are well understood. It was found that they can be solved by the boundary integral method accurately and efficiently [6][7][8]15]. However, sharp corners can be a problem for integral method analysis-the derivation of integral methods assumes that domain boundaries are smooth in general.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analytical Approach for Sharp Corner Reconstruction in the Kernel Free Boundary Integral Method during Magnetostatic Analysis for Inductor Design

Jin

Cao

et al. 2023

Energies

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It is very important to perform magnetostatic analysis accurately and efficiently when it comes to multi-objective optimization of designs of electromagnetic devices, particularly for inductors, transformers, and electric motors. A kernel free boundary integral method (KFBIM) was studied for analyzing 2D magnetostatic problems. Although KFBIM is accurate and computationally efficient, sharp corners can be a major problem for KFBIM. In this paper, an inverse discrete Fourier transform (DFT) based geometry reconstruction is explored to overcome this challenge for smoothening sharp corners. A toroidal inductor core with an airgap (C-core) is used to show the effectiveness of the proposed approach for addressing the sharp corner problem. A numerical example demonstrates that the method works for the variable coefficient PDE. In addition, magnetostatic analysis for homogeneous and nonhomogeneous material is presented for the reconstructed geometry, and results carried out using KFBIM are compared with the results of FEM analysis for the original geometry to show the differences and the potential of the proposed method.

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