**6. Conclusions**

In this paper, we have presented a coupling integral method in order to model thin magnetic and conductive regions which can be coupled with an external electric circuit. This coupling enables the model of conductors with complex shapes, and various skin effects across the thickness of the thin shell are taken into account. Two numerical examples have been presented and the results highlighted the accuracy of the solution provided by our proposed method. In our suggestions, the problem dense matrix and the full memory need could be solved with the compression algorithms.

**Author Contributions:** Conceptualization, Methodology, Validation: T.L.-D. and G.M.; Investigation: T.L.-D.; Data Curation: T.L.-D.; Writing—Original Draft Preparation, Writing—Review & Editing: T.L.-D. and G.M; Funding Acquisition: T.L.-D. All authors have read and agreed to the published version of the manuscript.

**Funding:** This research was funded by Ministry of Education and Training, Vietnam, under grant number B2018-BKA-11-CtrVL.

**Conflicts of Interest:** The authors declare that there are no conflicts of interest regarding the publication of this paper.
