Subproblem dual finite element magnetostatic and magnetodynamic formulations are developed and compared for correcting the inaccuracies near edges and corners of thin shell models, that replace thin volume regions by surfaces. The surface-to-volume correction problem is defined as one of the multiple subproblems applied to a complete problem, considering successive additions of inductors and magnetic or conducting regions, some of these being thin regions. Each SP requires a proper adapted mesh of its regions, which facilitates meshing and increases computational efficiency.
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